29 articles trouvés pour ce sujet.
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A circle, a point, and a tangent line |
2019-12-31 |
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Faisal pose la question :
A circle has radius 10 units and passes through the point (5,-16). The x-axis is a tangent to the circle. Find the possible equations of circle?
Penny Nom lui répond. |
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A tangent line to a parabola |
2015-12-02 |
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pei pose la question :
Given that the line y=mx-5 is a tangent to the curve y=2x^2+3 find the positive value of M.
Penny Nom lui répond. |
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A tangent line to a circle |
2015-09-03 |
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Jamie pose la question :
Use the Greek method to find an equation of the tangent line to the circle
x^2+y^2-4x+6y+4=0 at the points (3,2square root 2-3.
Penny Nom lui répond. |
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A tangent to y = x^3 |
2015-05-31 |
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Brayden pose la question :
Show that a tangent line drawn to the curve y=x^3 at the point (d,f (d)), where d>0, forms a right triangle with the x and y axes in quadrant 4 whose area is (2/3)d^4.
Penny Nom lui répond. |
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A tangent to y=x^3 passes through (0,2) |
2015-04-05 |
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Kevin pose la question :
Given that the curve y=x^3 has a tangent line that passes through point (0,2). Find the equation of the tangent line
Penny Nom lui répond. |
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A tangent to a curve passing through a point not on the graph |
2014-09-15 |
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Aquilah pose la question :
For the curve y = x2 + 3x, find the equations of all tangent lines for this graph
that also go through the point (3, 14).
Penny Nom lui répond. |
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A tangent of the curve (x/a)^n+(y/b)^n =2 |
2014-04-15 |
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sudhir pose la question :
the equation of tangent of the curve (x/a)^n+(y/b)^n =2. at(a,b) is
Penny Nom lui répond. |
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Tangents to the curve y = x^3 |
2013-03-24 |
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Ethan pose la question :
How many tangent lines to the curve y = x^33 pass through the
point (2, 4)? For each such line, and the exact coordinates of the point of
tangency on the curve.
Penny Nom lui répond. |
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A tangent to f(x) = 1/x |
2012-09-04 |
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Steven pose la question :
Consider the graph of the function f(x) = 1/x in the first quadrant, and a line tangent to f at a point P where x = k. Find the slop of the line tangent to f at x = k in terms of k and write an equation for the tangent line l in terms of k.
Penny Nom lui répond. |
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An equilateral triangle and some circles |
2012-01-10 |
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tushar pose la question :
draw an equilateral triangle with side 6cm.draw 3circles with radii 3cm on each angular point of triangle.draw common tangent on each of two circles
Penny Nom lui répond. |
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Lines tangent to y^2=4x |
2011-11-11 |
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Reuchen pose la question :
Find equations of the lines tangent to y^2=4x and containing (-2,1).
Penny Nom lui répond. |
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A line tangent to f(x)=1/x |
2011-06-05 |
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Michael pose la question :
A line tangent to f(x)=1/x in the first quadrant creates a right triangle
with legs the x-axis and the y-axis. Prove that this triangle is always
2 square units regardless of where the point of tangency is.
Penny Nom lui répond. |
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A tangent line |
2011-01-03 |
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Amanda pose la question :
Question from Amanda, a student:
an equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is
(A) y=-6x-6
(B) y= -3x+1
(C) y= 2x+10
(D) y=3x-1
(E) y=4x+1
Penny Nom lui répond. |
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A tangent line to a circle |
2010-04-15 |
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Rhonda pose la question :
The Greek method for finding the equation of the tangent line to a circle used the fact that at any point on a circle the line containing the reauis and the tangent line are perpendicular. Use this method to find an equation of the tangent line to the circle x^2+y^2=9 at the point (1,2 square root of 2).
Penny Nom lui répond. |
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A point on -8x^2+5xy+y^3=-149 |
2009-02-04 |
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Vivian pose la question :
Consider the curve defined by -8x2+5xy+y3=-149
a) find dy/dx
b) Write an equation for the line tangent to the curve at the point (4,-1)
c) There is a number k so that the point (4.2,k) is on the curve. Using the tangent line found in part b), approximate the value of k.
d) write an equation that can be solved to find the actual value of k so that the point (4.2,k) is on the curve
e) Solve the equation found in part d) for the value of k
Harley Weston lui répond. |
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Tangent line |
2008-10-27 |
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Maddie pose la question :
Find a general equation for a line that touches, but does not pass through the function Y=X2(X squared) + BX+C.
Stephen La Rocque and Victoria West lui répond. |
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The slope of a tangent line |
2008-10-18 |
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Amanda pose la question :
If f(x)=square root of (x+4), and the slope of the tangent line at x=21 was 1/n for some integer n, then what would you expect n to be?
Stephen La Rocque lui répond. |
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A tangent line to f(x) = 1/(x - 1) |
2008-10-16 |
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Amanda pose la question :
If f(x)=1/(x-1) then what is the slope of the tangent line at x=-2?
Harley Weston lui répond. |
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A tangent to a circle |
2008-09-06 |
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Jake pose la question :
Find an equation of the line that is tangent to the circle x^2 + y^2 = 3 at the point (1,√2)
Penny Nom lui répond. |
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A particle moves in the xy-plane |
2007-11-12 |
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Russell pose la question :
A particle moves in the xy-plane with
X = 2t^3 - 12t^2 + 18t
Y = 3t^4 - 28t^3 + 72t^2
find an equation of the line tangent to the given curve at t_0_ = 1
note: t_0_ is t subscript 0
Harley Weston lui répond. |
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Equation of a tangent line to a function |
2007-10-04 |
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Princess pose la question :
If f ' (x) = 3x^2 +1, find the equation of
the tangent line to f(x) = x^3 + x at x= -1.
Stephen La Rocque lui répond. |
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Two-column proof for a circle geometry problem |
2007-08-24 |
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Kendra pose la question :
i have to prove that tangents to a circle at the endpoints of a diatmeter are parallel by stating whats given, whats to prove and a plane, then write a two column proof i dont understand this
Stephen La Rocque lui répond. |
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Circle Geometry |
2007-08-14 |
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Robin pose la question :
In a triangle ABC, angle A=75 and B=60. A circle circumscribes the triangle. The tangents of the at points A and B meet in a point D outside the circle. Show that ABD is an isosceles triangle with a right angle at D. Diagram included.
Stephen La Rocque lui répond. |
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Two tangent lines to y=x^3 |
2007-06-07 |
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stephanie pose la question :
find the equations of two tangent lines to the y=x^3 function through the point (2,8)
Penny Nom lui répond. |
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A common tangent line |
2007-02-20 |
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chris pose la question :
I have this problem I have been working on for days and cannot figure it out. it states: Find the two points on the curve y=x^4 - 2x^2 - x that have a common tangent line.
I know you use the first derivative to find the tangent line so if it is a common tangent line should you find two of the exact same tangent line equations at two coordinate points?
Chris Fisher lui répond. |
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The tangent line at an inflection point |
2004-11-28 |
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Louise pose la question :
the equation of the tangent line to the curve y = x3 - 6x2 at its point of inflection is...
Penny Nom lui répond. |
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The sketch of a graph |
2003-10-07 |
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A student pose la question :
I was wondering how do you figure out if a graph has a horizontal tangent line. One of my homework problem was to sketch the graph of the following function; (4/3)x3-2x2+x. I set f''(x) ( the second derivative) of the function equal to zero and got the inflection point:(1/2,1/6). Also i am having trouble finding the concavity for x>1/2 and x<1/2, i am getting a different answer from the back of the book, the graph i draw looks completely different from the correct answer.
Penny Nom lui répond. |
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The slope of a tangent line |
2002-03-04 |
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Ridley pose la question :
Suppose a function f(x) has the line 3x+4y=2 as its tangent line at x=5. Find f'(5).
Harley Weston lui répond. |
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A tangent line |
2001-11-21 |
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A student pose la question :
write an equation of the line tangent to the graph of
ey + ln(xy) = 1 + e at (e,1)
Harley Weston lui répond. |
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