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Calculus
Page 4
Questions (17,654)
The gradient of a curve is defined by
dy/dx = 3x^(1/2) - 6 Given the point (9, 2) lies on the curve, find the equation of the
4 answers
asked by
James
2,825 views
The derivative of f(x) = x^4/3 - x^5/5 attains its maximum value at x =
5 answers
asked by
Ann
6,985 views
A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the other end is moving down the
4 answers
asked by
Emily
3,068 views
Carlota Music Company estimates that the marginal cost of manufacturing its Professional Services guitars in dollars/month by
4 answers
asked by
Vanessa
4,130 views
sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the
5 answers
asked by
Inkiena
9,250 views
The cost of producing x units of a certain commodity is C(x)=1000+5.70x+0.7x^2 . What is the average rate of change of C with
5 answers
asked by
Pax
5,917 views
A tank of water in the shape of a cone is being filled with water at a rate of 12 m^3/sec. The base radius of the tank is 26
4 answers
asked by
Alfred
5,888 views
I'm a little confused with this integration problem: If the definite integral from 0 to 2 of (e^(x^2)) is first approximated by
7 answers
asked by
Rasheda
4,897 views
If the x-intercept of the tangentto the curve y=e^-x is increasing at a rate of 4 units per second, find the rate of change of
4 answers
asked by
Anonymous
2,275 views
Which of the following integrals correctly computes the volume formed when the region bounded by the curves x^2 + y^2 = 100, x =
6 answers
asked by
John
5,003 views
find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps
4 answers
asked by
Linda
1,246 views
What is the x-coordinate of the point on the curve y=e^x that is closest to the orgin?
4 answers
asked by
MEG
1,823 views
Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity.
f(x) grows faster than g(x) as x goes to
7 answers
asked by
Henry
4,212 views
Evaluate exactly the value of the integral from negative 1 to 0 of the product of the cube of quantity 2 times x to the 5th
5 answers
asked by
J
3,661 views
If f(x)= sqrt(4sin(x)+2), then f'(0)=
6 answers
asked by
Anna
5,363 views
Identify the coordinates of any local extrema of the function y=e^x - e^(2x).
4 answers
asked by
Abigail
3,507 views
Which value of c satisfies the MVT for f(x) = x*sinx on [1,4]?
My answer is 2.463.
6 answers
asked by
Anonymous
1,063 views
Evaluate, in spherical coordinates, the triple integral of f(rho,theta,phi)=cos (phi) , over the region 3<rho<7, 0<theta<2pi,
5 answers
asked by
Mackenzie
2,974 views
Two separate rabbit populations are observed for 80 weeks, starting at the same time and with the same initial populations. The
4 answers
asked by
questioner
1,005 views
An airplane flying west at 300 miles per hour goes over the control tower at noon, and a second airplane at the same altitude,
4 answers
asked by
becca
1,408 views
The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per
3 answers
asked by
xinyan
1,391 views
determine the point of intersection of the tangents at the points of inflection to the curve f(x)= x^4 – 24x^2 – 2
3 answers
asked by
samantha
1,189 views
An equation of the line tangent to the graph of (5x - 1)/(3x + 1) at the point where x = 1 is? Any ideas?
3 answers
asked by
ANONYMOUS
867 views
Let R be the first quadrant region enclosed by the graph of y= 2e^-x and the line x=k.
a) Find the area of R in terms of k. b)
3 answers
asked by
some kid
1,888 views
A tray of lasagna comes out of the oven at 200°F and is placed on a table where the surrounding room temperature is 70°F. The
5 answers
asked by
Mishaka
5,074 views
The position of a particle moving in a straight line is given by s(t) = (e^(-t))(cos(5t)) for t>0, where t is in seconds. If the
4 answers
asked by
Anonymous
4,546 views
Find the integral of 3cos2x-2sinx
6 answers
asked by
Samuel
612 views
The position of a particle moving in a straight line is given by s(t) = 2sint - cost , from 0 to 2 pi
where s is the displacement
4 answers
asked by
Anonymous
2,114 views
c) Estimate the instantaneous rate of growth in 2006 by measuring the slope of the tangent line through
(2005, 10237) and (2007,
4 answers
asked by
Tenshi
4,315 views
How many critical points does the function f(x)=((x −1)^6) ((x + 5)^7) have?
4 answers
asked by
SERA
1,485 views
Find the coordinates of the point on the curve y = x
3 − 3x 2 + 6x + 2 at which the gradient is 3
4 answers
asked by
DanishHakim
1,746 views
Let f be the function given by f(x) = tan x and let g be the function given by g(x) = x^2. At what value of x in the interval
4 answers
asked by
Erica
6,582 views
Let R be the region bounded by the x-axis and the graph of y=6x-x^2 Find the volume of the solid generated when R is revolved
5 answers
asked by
Kelsey
2,123 views
Let f(x)=e^(2x)-kx, for k greater than 0.
Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4.
4 answers
asked by
Eva
4,614 views
Consider a curve given implicitly by the equation (1+x)y^3 + (x^4)y - 85 = 0.
A. Calculate dy/dx at a general point (x,y). B.
4 answers
asked by
Anonymous
2,025 views
Find the positive value of the parameter t corresponding to a point on the curve parametrized by
{x= t^2 +3 ; y=t^2+t for which
4 answers
asked by
Anonymous
3,136 views
Given that the graph of f(x) passes through the point (2,5) and that the slope of its tangent line at (x, f(x))is 3x+5, what is
4 answers
asked by
lindsay
3,632 views
The region enclosed by the curve y = ex, the x-axis, and the lines x = 0 and x = 1 is revolved about the x-axis. Find the volume
5 answers
asked by
Jonah
2,478 views
Let r(t) be a differentiable function that is positive and increasing. The rate of increase of r^3 is equal to 12 times the rate
4 answers
asked by
Mike
2,030 views
a man 6ft tall walks at the rate of 5ft/sec toward a streetlight that is 16ft above the ground. At what rate is the length of
4 answers
asked by
Teri
9,916 views
The slope of a curve is equal to y divided by 4 more than x2 at any point (x, y) on the curve.
A. Find a differential equation
5 answers
asked by
axolotl
1,260 views
a light is hung 15 feet above a straight horizontal path. If a man is 6 feet tall is walking away from the light at a rate of 5
4 answers
asked by
tante
4,566 views
Determine if the Mean Value Theorem for Integrals applies to the function f of x equals the square root of x on the interval [0,
5 answers
asked by
jose
4,852 views
Find the exact length of the curve.
x = 5cost - cos5t, y = 5sint - sin5t, 0 < t < pi
5 answers
asked by
Anonymous
6,258 views
Use Stokes' Theorem to evaluate
S curl F · dS. F(x, y, z) = 2y cos z i + ex sin z j + xey k, S is the hemisphere x2 + y2 + z2 =
3 answers
asked by
Tay
1,647 views
the height, in metres, of a nail in a water wheel above the surface of the water , as a function of time, can be modelled by the
4 answers
asked by
...
6,499 views
Consider the differential equation dy/dx=-2x/y
Find the particular solution y =f(x) to the given differential equation with the
4 answers
asked by
T
5,683 views
What is the maximum value of the function y= 18/x^2-9 over the interval -3<x<3?
A. 0 B. 2 C. -2 D. Infinity
4 answers
asked by
Katherine
1,044 views
Let f(x) be the function defined by f(x) = {x, x≤0
x+1, x>0 The value of the integral of x(f(x))dx from -2 to 1 =?
4 answers
asked by
Erica
1,152 views
if a particle moves along a line so that at time t where t [0,pi] its position is given by s(t)=-4cost-t^2/2+10 what is the
4 answers
asked by
James
1,077 views
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