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8^3/2(2+2) 2017-01-13
Mary pose la question :
8^3/2(2+2)
Penny Nom lui répond.
A pattern rule for a sequence 2016-10-28
Grace pose la question :
Here's a Grade 7 question, we need to find the pattern rule:

1 - 1
2 - 3
3 - 6
4 - 10
......
It may involve exponents, but we can't seem to figure it out.
thank you.
Grace.

Penny Nom lui répond.
Implicit differentiation 2016-06-06
Pranay pose la question :
Is a circle x^2+y^2=2 a function? If it is not a function, why is it possible to do implicit differentiation on it?
Thanks.

Penny Nom lui répond.
Solve 2^2x + 3(2^x) - 4 = 0 2016-04-27
Lloyd pose la question :
Solve the equation 2^2x + 3(2^x) - 4 = 0
Penny Nom lui répond.
Pizza delivery 2016-04-03
Andrew pose la question :
Suppose you own a local pizza restaurant, Pizza with Pizzazz, and in order to compete with the big pizza chains in your area you are considering an advertising campaign offering customers a free pizza if their pizza is not delivered in 30 minutes or less. Even though your pizza restaurant is known for its fast and friendly delivery service, you are not sure if you can afford to give away too many pizzas for free. Looking over your past 12,421 pizza deliveries you find out 97% of the pizzas were delivered in 30 minutes or less.

Calculate the probability that all 100 randomly selected pizza deliveries will have been made in 30 minutes or less? Hint: Use the multiplication rule. (Round 4 decimals)

I'm really stumped on how exactly to do this problem. I don't need the answer just the steps broken down to show me how to get it! It would be gladly appreciated if you could help!

Penny Nom lui répond.
Simplify -3(x-7) 2015-10-21
geraldine pose la question :
simplify: -3(x-7)
Penny Nom lui répond.
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 = ? 2015-06-18
Sharon pose la question :
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 = ?

I got 1 as my answer despite BODMAS making it 12 because logic tells me I ought to place brackets around the first set of repeated addition. Could you please clarify this for me? Thank you 😊

Harley Weston lui répond.
128/(-16)/(-2) 2015-01-28
jackie pose la question :
128/(-16)/(-2) I was wondering if you can show me how to work this question out
Harley Weston lui répond.
Six-digit passwords 2013-03-19
Judy pose la question :
Hello:
Can you please explain why the answer to the following question is 10^6? What is the number of possible six-digit passwords when using the digits 0 through 9, with repetition allowed.
Thank you.

Penny Nom lui répond.
Differentiation rules 2012-10-23
Morgan pose la question :
Use the derivative rules to differentiate each of the following:
1. f(x)=1/x-1
2. f(x)= sqrt(x)

Penny Nom lui répond.
Dt[sin t tan (t^2+1)] 2012-02-21
Ayu pose la question :
Ayu
Dt[sin t tan (t^2+1)]
derivatives

Harley Weston lui répond.
What is x to the power of 0? 2011-03-23
Jason pose la question :
What is x to the power of 0?
Robert Dawson lui répond.
y = - log(x) 2010-04-28
Alex pose la question :
y= - log(x), where y = 4.3
solve for x.

Harley Weston lui répond.
The derivative of cos^3x 2010-04-06
Erson pose la question :
Find y' of the given function: y = cos^3x.
Harley Weston lui répond.
5 x 8 + 6 divided 6 - 12 x 2 2009-09-24
Susan pose la question :
5 x 8 + 6 divided 6 - 12 x 2. I am not sure of the rules of operation for this type of question
Penny Nom lui répond.
Two questions from math class 2009-06-18
Con pose la question :
Hello,

My name is Con and my son is required to answer the following questions for his maths class.

He has attempted Q1 through trial and error and has found the answer to 72453. Is this correct?

He has attempted to draw the triangles described in Q2 in a number of ways and has found that BE can not equal ED and is dependent of angle BAC. Therefore, he claims that the triangle can not be drawn/practical. Is this correct or is there a slolution?

Q1.
Digits 2, 3, 4, 5 and 7 are each used once to compose a 5-digit number abcde such that 4 divides a 3-digit number abc, 5 divides a 3-digit number bcd and 3 divides a 3-digit number cde. Find the 5-digit number abcde.

Q2.
Let ABC be a triangle with AB=AC. D is a point on AC such that BC=BD. E is a point on AB such that BE = ED = AD. Find the size of the angle EAD. Con

Chris Fisher lui répond.
differentiate y sin[x^2]=x sin[y^2] 2009-05-11
mamiriri pose la question :
derivate y sin[x^2]=x sin[y^2]
Harley Weston lui répond.
Exponential form 2009-04-16
Pete pose la question :
Hi, How do you express ³√h^-4 in exponential form. I am having a lot of trouble with this one.
thanks
Pete

Stephen La Rocque lui répond.
The second derivative of h(x)=f(g(x)) 2009-02-16
Kristina pose la question :
If h(x)=f(g(x)), and is differentiable, then find h"(x).
Robert Dawson lui répond.
Concavity and the second derivative 2008-10-15
Christina pose la question :
I'm having trouble solving for a second derivative for the following graphing question.

f(x) = (X^2+2x+4)/2x

using the quotient rule, I found:
f'(x) = (x^2-4)/(2x^2)

however, using the quotient rule again I can't seem to solve it (concavity):
f'''(x)=[(2x)(2x^2)-(x^2-4)(4x)]/[(2x^2)^2]
f''(x)=[(4x^3-(4x^3 -16x)]/4x^4
f''(x)=16x/4x^4
f''(x)=4/x^3

and making the equation equal to zero result in 0=4 which doesn't seem to make sense...

Penny Nom lui répond.
Find the product of 2^35 and 5^38 in sci. notation. 2008-08-03
Peter pose la question :
I am preparing for a competition and a lot of the non-calculator problems are like find the product of 2^35 and 5^38 in sci. notation. How would you do that?
Penny Nom lui répond.
Right Sided Limit of an Exponential Function 2008-07-29
joseph pose la question :
I am trying to find the limit as X approaches 0 from the positive side of x to the sin of x which look like this lim x^sinx x->0+
Harley Weston lui répond.
f(x)=sin^3(3x^2) find f ' (x) 2008-04-21
Michael pose la question :
f(x)=sin^3(3x^2) find f ' (x)
Harley Weston lui répond.
The chain rule 2008-04-10
joey pose la question :
pls help me to Differentiate
y=(3x^2-4x)^8

Harley Weston lui répond.
The standard normal distribution 2007-12-29
GEORGE pose la question :
Statistics texts state that in a normal distribution, 1 standard deviation covers 68%, 2SD 95% 3SD 99.7%. However, on looking at the tables for normal curve areas, the percentage for a z value of 1 is 84.13. 68 % of values are covered at a z value of 0.47. The discrepancies exist even for other values but are smaller. So why is the rule of thumb so different from the Table for Normal Curve areas?
Harley Weston lui répond.
The derivative 2007-11-19
ralf pose la question :
Find the derivative of the function
1-. y=1+2x8
2-. y=(1+2x )8

Harley Weston lui répond.
A limit of the form 0 times infinity 2007-11-13
Russell pose la question :
find the following limit

lim x((e^1/x) -1) as x --> infinity

Penny Nom lui répond.
lim (1- 2 cosx) / (sin(x- pi/3)) 2007-10-15
hanan pose la question :
lim (1- 2 cosx) / (sin(x- л/3))
Harley Weston lui répond.
Using the chain rule to solve a derivative 2007-07-29
Charles pose la question :
I need to find the derivative fo the following function.   _______________________
\/ ______________
  \/ (x - 1) / (x + 2) + 1

Stephen La Rocque lui répond.
Derivative of a Function 2007-07-09
Bob pose la question :
What is the derivative of the function a sub n = [n/(n+1)]^n ?
Stephen La Rocque lui répond.
What is the limit of 3.x^(3/x) as x approaches +infinity? 2007-04-11
Teodora pose la question :
What is the limit of 3.x^3/x as x approaches +infinity ?
Haley Ess lui répond.
3 divided by 3 to it's fifth root 2007-04-06
Annie pose la question :
How do I transform the equation 3 divided by 3 to it's fifth root to simple radical form (getting the radical out of the denominator)?
Penny Nom lui répond.
y = sin(2x) 2007-03-22
bader pose la question :
sin(2x) find dx/dy
Penny Nom lui répond.
Differentiate Y= sin3x + cos7x 2006-08-22
james pose la question :
Differentiate the function of x using the basic rules.

Y= sin3x + cos7x

Stephen La Rocque lui répond.
A problem with exponents 2006-08-09
A student pose la question :
(8a to the negative 2 b cube c to the negative 4/4a squared b to the negative 3 c squared) to the negative 2
Stephen La Rocque lui répond.
Josh and John were both exposed to the flu 2005-12-16
Dudley pose la question :
Josh and John were both exposed to the flu. John has a 25% chance of getting it, while Josh has a 75% chance of getting it. What are the chances that at least one of them has the flu?
Penny Nom lui répond.
(x/1+x)^x 2005-10-23
A student pose la question :
LIMIT x-.->0 (x/1+x)x how to solve it.
Penny Nom lui répond.
Constructing figures 2005-09-20
Kim pose la question :
I would like to know how to draw different shapes:
Regular Octagon with sides of length, 1 unit
Equilateral Triangles, with sides of length 1 unit
Regular Hexagons, with sides of length 1 unit
Isoseles Triangles, with hypotenuse of length 1 unit

Penny Nom lui répond.
L'hopital's rule 2005-05-15
Abraham pose la question :
Find the limit of [(1/(x+4))-(1/4)]/x as x approaches zero. How do you use l"hopital's rule to find this limit. I know how to do it with multiplying everything by 4(x+4), and getting the answer, -1/16.But how do you apply derivatives with l'hopitals rule to this type of problem?
Penny lui répond.
The trapezoidal rule 2003-12-31
Prashanth pose la question :
I have a set of XY co-ordinates(say 49 points),I want to find the area enclosed by the curve joining them and the axes.I do not have an equation for the curve and I am not able to fit a curve given the points.I use the trapezoidal rule (Y1+Y2/2)*(X2-X1), Is it right? can I do this with any other method?
Penny Nom lui répond.
Divisibility by 7 2003-11-14
A student pose la question :
how do you test a number to see if it is divisible by 7 or not?
Penny Nom lui répond.
Standard Deviation 2003-10-07
Rebecca pose la question :

I have a task to complete, which is to calculate the mean and standard deviation of something. I have done this but am then asked to write a short explanation of my findings.

I know what the mean is about, and I thought I knew what the standard deviation meant too - shows the variation from the mean. However, on a task I completed earlier the feedback I got said 'you need to tell us that it is talking about the middle 66% of the data' - that has thrown me, I don't understand that. Can anyone help me get my head round this???


Penny Nom lui répond.
A rule with a variable 2003-08-24
Crystal pose la question :
what is a rule with a variable
Penny Nom lui répond.
A ruler and compass construction 2003-06-29
Mandy pose la question :
I have been searching for instructions on how to do this using a compass. Can you please send instructions step by step on how to bisect a segment into any given number of segments. (example, a way that it will work for bisecting segment into 3, 4, or even 5 congruent parts)
Penny Nom lui répond.
Rules of exponents 2003-05-05
Carl pose la question :
Hi, I am a student who would like to recall how to multiply exponents. Here is such an equation:
6.02569 X 1025 X 5.254 =?

Also, adding exponents. Don't I just add subtract the exponents separately?
Such as 523 +15-12 =??

Penny Nom lui répond.
Construct a pentagon 2002-12-12
Mary pose la question :
We were wondering what the instructions/formula, step-by-step, is to make a pentagon.
Chris Fisher and Penny Nom lui répond.
Fractional exponents 2002-09-20
Jill pose la question :
The problem is with fractional exponants:
10 1/3 mult. by 10,000 The 1/3 is an exponant of 10.

Penny Nom lui répond.
Constructing the square root of 3 2002-06-07
Allan pose la question :
I am a Math 7/8 teacher. I was wondering how you would show a student how to find the exact location of the square root of three on the number line using just a compass and a straight edge.
Penny Nom lui répond.
L'Hopital's Rule 2001-11-25
Mike pose la question :
I'm a high school senior. I'm in ap calculus and was wondering if you know the proof of L'Hopital's Rule? Our teacher said he has never been able to find it in a math book and was unable to derive it himself.
Claude Tardif lui répond.
Rules of exponents 2001-10-14
Carissa pose la question :
how do you work this out? Investigate the relationship between a,b,c and d if 2a*2b=4c/4d?
Leeanne Boehm lui répond.
Powers 2001-03-04
A student pose la question :
Hey, can you show me how you do ..

(2xy)to the 3rd power (x) to the 2nd power?


Penny Nom lui répond.
A limit using l'hopital's rule 2000-12-13
Wassim pose la question :
I need to know how to solve the:
limits of (x ( to the power lamda) -1 )/LAMDA when lamda tends to zero ( the answer is that the functional form is ln x) and I still don't know how using hopital rule leads to this answer.

Harley Weston lui répond.
An integration problem 2000-11-30
A student pose la question :
If a>0 and the integral from b to 0 of 1/(1+x) equals 1/2 the integral from a to 0 of 1/(1+x), express "b" in terms of "a"
Claude tardif lui répond.
Find the rule 2000-10-27
Kelsa and Linda pose la question :
Find the rule: It had 13 in a circle then 2 blank circles then 31 in a circle then two more blank circles. Could you please help us.
Penny Nom lui répond.
Derivatives, there must be an easier way 2000-09-06
Brad Goorman pose la question :
The direction read: Take the derivative of each expression.

y = {1+[x+(x2 +x3)4]5}6


Harley Weston lui répond.
L'Hospital's Rule 2000-07-19
Dan Krymkowski pose la question :
The limit of the following as x goes to infinity is 2*y. Y is a constant.

lim 2*x*log(x/(x-y)) = 2*y


Harley Weston lui répond.
All the roots of x^6 - 64 2000-04-15
Dakota pose la question :
Find ALL zeros of P(x) = x 6 - 64
Walter Whiteley lui répond.
Rule of 78 2000-03-22
Dan Baumgarten pose la question :
Can you explain the rule of 78 and the reverse rule of 78? Thanks.
Claude Tardif lui répond.
The quotient rule 2000-02-21
Charlene Anderson pose la question :
Question: I came across a question in our book that states: Let Q(x) = N(x) / D(x) Then re-write Q(x) in a form that can utilize the Power and Product Rules. Use this rearranged form to derive the Quotient Rule.

The Quotient Rule can be derived from the Power Rule and the Product Rule.

One must also use the chain rule too, right?


Harley Weston lui répond.
Two calculus problems 1999-12-13
Alan pose la question :
I have 2 questions that are very new to me, they were included on a quiz and the material was never covered. Our teacher never explained the purpose and detailed explanation of how to solve the problem. Could you help? Thanks.

Question 1:
A ball is falling 30 feet from a light that is 50 feet high. After 1 sec. How fast is the shadow of the ball moving towards the light post. Note that a ball moves according to the formula S=16t^2

Question 2:
How many trapezoids must one use in order for the error to be less than 10^-8 if we want to find the area under the curve Y=1/X from 1 to 2. Find the exact area, Graph the function and use the trap rule for the "N" that you found.


Harley Weston lui répond.

Advanced Calculus 1999-12-07
Kay pose la question :
Hi, my name is Kay. Please help---these problems are driving me crazzzzy!!!! Your help would be greatly appreciated!
  1. Let a,b be contained in R, a
  2. .
    .
    .

Claude Tardif lui répond.
The chain rule 1999-12-03
Jennifer Stanley pose la question :
This problem is making me dizzy. I would greatly appreciate a little help!

Express the derivative dy/dx in terms of x.

y=u^2(u-u^4)^3 and u=1/x^2
Harley Weston lui répond.

l'Hospital's Rule 1999-10-18
Yannick Gigandet pose la question :
How can I solve these two limits :
  1. lim when n approches 1 of n[a1/n -1]

  2. lim when x approches 0 of (eax - ebx) / x
Thanks for the answer!

Harley Weston lui répond.
(-5)^2, -5^2 and -(5)^2 1999-10-13
Jennifer Brown pose la question :
What is the difference between the following problems:

(-5)2, -52 and -(5)2

Our text book (Beginning Algebra, fourth edition, published by McGraw Hill, by Streeter, Huthison and Hoetzle) says the second and third problem are exactly the same. I don't see how that can be. Is there a mathematical rule that explains this?
Penny Nom lui répond.

Finding a rule for a sequence 1999-02-17
Lindsey Masters pose la question :
I'm doing a maths investigation and i have a sequence which goes:-

13,16,25,32,45,56,73.

Our teacher told us we have to find a rule by looking at the differences of the terms until we find a constant. The first differences are:-

3,9,7,13,11,17.

The differences of these are:- ......

Please could you tell me how to work it out so that I could work out the rules of similar sequences.
Penny Nom lui répond.

Calculus 1999-01-16
Kaylea Rankin pose la question :
Differentiate the following.

y = 1 /(2+3/x)
Jack LeSage and Penny Nom lui répond.

Divisibility by 11 1998-10-28
Pat Duggleby pose la question :
I am an upgrading instructor at a drop-in program in Regina. One of my students is taking General Math 30 through correspondence, and we have run into some confusing instructions. The section is about divisibility rules, and we did just fine up until the rule for Divisibility by 11. The statement is as follows:
If the difference between the sum of the odd-numbered digits and the sum of the even-numbered digits, counted from right to left, is divisible by 11, then the number is divisible by 11.
.
.
.

Penny Nom lui répond.
(50^20)(20^50) 1998-02-24
fion pose la question :
50 power of 20 X 20 power of 50?

How many zero can be found in the answer and why?
Penny Nom lui répond.

Cos(x) Cos(2x) Cos(4x)=1/8 1997-09-24
Tan Wang pose la question :
How many distinct acute angles x are there for which cosx cos2x cos4x=1/8?
Chris Fisher Harley Weston and Haragauri Gupta lui répond.
Mathematical Induction and the Derivative 1997-03-18
Shuling Chong pose la question :
"Obtain a formula for the nth derivative of the product of two functions, and prove the formula by induction on n."

Any educated tries are appreciated.
Penny Nom lui répond.

 
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