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The rate of change of y with respect to x 2010-04-29
Tom pose la question :
I just had a quick calc question about wording that wasn't ever addressed in class. When the book says "the rate of change of y with respect to x", should it be considered how fast y is changing in comparison to x?

I ask because the textbook says that "y is changing 3 times faster than x, so the rate of change of y with respect to x is 3." I'm use to rate being like velocity, as in units of distance per units of time. All we're told in class is that it's the slope of the tangent line, I was hoping you could clarify for me what exactly is meant by the wording of a "rate of change of something with respect to something else". More specifically, what "rate" and "with respect to" mean within this context?

Thanks for your time

Harley Weston lui répond.
A trig equation 2010-04-28
Steve pose la question :
2cos^2(X)-2sin^2(x)+1=0
Harley Weston lui répond.
The width of a picture frame 2010-04-28
Daniel pose la question :
The frame of a picture is 28 cm by 32 cm outside and is of uniform width. What is the width of the frame if 200 cm ^2 shows?
Penny Nom lui répond.
A circle inscribed in a square inscribed in a circle 2010-04-28
jouniella pose la question :
A square is inscribe to the first circle, then another circle is inscribe to the square. Find the ratio of the 2 circles.
Penny Nom lui répond.
A rectangular laundry room 2010-04-28
Cynthia pose la question :
a laundry room is shaped like a rectangle. the area of the room is 6 square yards. the perimeter is 10 yards. The room is longer than it is wide. How wide is the room? How long it the room?
Penny Nom lui répond.
cos(x) = sin(x - 1) 2010-04-28
alex pose la question :
In the equation cos x = sin x-1 for -pi/2 A: solve for x graphically
B: solve algebraically and prove the solution is correct.

Alex

Penny Nom 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.
Sales taxes in Quebec 2010-04-28
carole pose la question :
I work at a company where we use transport companies and we often get credits on their invoices. I need to know how to subtract the sales taxes from these credit amounts. (5% TPS and 7.5% TVQ). Is the equation: Amount / 1.05 = then this amount / by 1.075=?
Penny Nom lui répond.
Adding five positive integers that have a product of 48 2010-04-27
Lorraine pose la question :
What is the smallest possible sum that can be obtained by adding five positive integers that have a product of 48.
Chris Fisher lui répond.
The "vertex" of a cone 2010-04-27
Tom pose la question :
By definition a vertex is a point where three edges meet in a 3 dimensional object. My ten year old son argues that the point at the top of a cone is not a vertex since it does not fit the definition. He got the answer wrong on a test recently but insists that he is right. I need a mathematician to answer this for him.
Robert Dawson and Chris Fisher lui répond.
One in twenty as a percentage 2010-04-27
jim pose la question :
Please advise how I work out a gradient of say 1-20 one in twenty as a percentage %
Penny Nom lui répond.
A rectangular prism 2010-04-27
Savannah pose la question :
A rectangular prism is made of exactly 8 cubes. Find the length, width, and height.
Penny Nom lui répond.
Rolls of sod 2010-04-27
judy pose la question :
My yard is 35 feet by 29 feet. I want to put sod on the entire yard. The rolls of sod are 9 square feet. How many rolls of sod will I to complete the job?
Penny Nom lui répond.
Polyhedra and polygons 2010-04-26
Brandon pose la question :
What is the difference between a polyhedra and a polygon?
Penny Nom lui répond.
Tiles 2010-04-25
Pat pose la question :
how many 6 inch tiles will I need to purchase for an area that is currently covered with 351 4 inch by 4 inch tiles. Each box of 6 inch tiles states it contains 16 pieces and covers 4 square feet.
Penny Nom lui répond.
 
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