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Calculus
Page 2
Questions (17,715)
Consider a lake of constant volume 12200 km^3, which at time t contains an amount y(t) tons of pollutant evenly distributed
6 answers
asked by
Ashley
2,947 views
Let f be the function satisfying f'(x)=x√(f(x)) for all real numbers x, where f(3)=25. 1. Find f''(3).
2. Write an expression
4 answers
asked by
Jess
3,900 views
Verify the given linear approximation at
a = 0. Then determine the values of x for which the linear approximation is accurate to
5 answers
asked by
jedidiah
6,707 views
The area bounded by the curve y^2 = 12x and the line x=3 is revolved about the line x=3. What is the volume generated?
5 answers
asked by
Gela
11,406 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
2,305 views
The table below gives selected values for the function f(x). With 5 rectangles, using the left side of each rectangle to
10 answers
asked by
Alice
6,349 views
can you please help me solve this problem if dy/dx=ycosx and y=3 when x=0, then y=
4 answers
asked by
christine
5,092 views
if f'(x)=2f(x) and f(2)=1, then f(x)= ?
4 answers
asked by
mark
1,047 views
The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value
5 answers
asked by
Alice
5,573 views
A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3x
a. on what interval is f increasing? b. at
4 answers
asked by
Mattia
4,627 views
Which of the following will not give the instantaneous rate of change of f (x) with respect to x when x = 3?
Which of the
5 answers
asked by
John Ng
1,631 views
Interpret the definite integral A = integral [a,b] dA = integral L(x)dx as computing the area of a region in the xy plane. Then
5 answers
asked by
Anonymous
1,210 views
Find an equation of the tangent line to the graph of x^2+3y^2=4 at the point (1,1)
A. y+1=-1/3(x+1) B. y-1=-x/3y(x-1) C. x+3y=2
4 answers
asked by
Anonymous
1,964 views
The equation dy/dx = -6x^2/y gives the slope at any point on the graph of f(x). The range of f(x) is [0, infinity] and f(1) = 2.
4 answers
asked by
Anonymous
1,073 views
A particle moves along the x axis so that its position at any time t>= 0 is given by x = arctan t
What is the limiting position
3 answers
asked by
Jen
2,908 views
Given f left parenthesis x right parenthesis 4 x squared plus 2 minus 9, what is f prime left parenthesis a right parenthesis?
(1
1 answer
asked anonymously
41 views
Find the Laplace transform of:
f(t) = cos^(2)(2t)
5 answers
asked by
Elyse
8,993 views
Use the graph of f(t) = 2t + 2 on the interval [–1, 4] to write the function F(x), where f of x equals the integral from 1 to
5 answers
asked by
Rich boi
3,932 views
Related Rates:
Gas is escaping from a spherical balloon at the rate of 2ft^3/min. How fast is the surface area shrinking (ds/dt)
10 answers
asked by
Hannah
10,575 views
If f(2) = 2.5 and f'(2) = -2.5, then f(2.5) is approximately...
I have no idea how to do this without an equation.
5 answers
asked by
PLEASE HELP
2,646 views
Use the graph of f(t) = 2t − 5 on the interval [−2, 10] to write the function F(x), where f of x equals the integral from 1
5 answers
asked by
Jaden
3,229 views
The region enclosed by the graph of y = x^2 , the line x = 2, and the x-axis is revolved abut the y-axis. The volume of the
5 answers
asked by
Anonymous
8,395 views
The function f is continuous on the open interval (-π, π). If f(x)=cos(x)-1/xsin(x) for x≠0, what is the value of f(0)?
4 answers
asked by
Mike
3,213 views
The operating cost, C, in dollars per hour, for an airplane cruising at a height of h metres and an air speed of 200km/h is
4 answers
asked by
sierra
3,533 views
The function f is continuous on the interval [3, 13] with selected values of x and f(x) given in the table below. Use the data
5 answers
asked by
Jim
6,482 views
Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x = 2 and a relative maximum at
4 answers
asked by
funyuns
3,622 views
The position function of a particle in rectilinear motion is given by s(t) = 2t^3 – 21t^2 + 60t + 3 for t ≥ 0. Find the
4 answers
asked by
Mel
3,807 views
Find the arc length of the curve y^3=8x^2 fr0m x=1 to x=8.
4 answers
asked by
James
3,079 views
Find the derivative of
cos^2(4x)
4 answers
asked by
Amanda
7,342 views
What is the limit of g(x)=x as x approaches pi?
Would it just be pi??
6 answers
asked by
Ray
6,873 views
Sand is falling into a conical pile at the rate of 10 m3/sec such that the height of the pile is always half the diameter of the
5 answers
asked by
Dimple
13,564 views
Water, at the rate 10 ft^3/min, is pouring into a leaky cistern whose shape is a cone 16' deep and 8' in diameter at the top. At
5 answers
asked by
Sammy
5,045 views
If e^f(x) = 1 + x^2, then f'(x) =
5 answers
asked by
larry
3,562 views
The rate at which water flows into a tank, in gallons per hour, is given by a differentiable, increasing function R of time t.
4 answers
asked by
Kailey
3,201 views
1. At which values of x does the graph of f(x)=cos x intersect the x-axis? Select all that apply. (2 answers)
a. 0*** b. pi/2***
9 answers
asked by
girly girl
4,786 views
If dy/dx = (1 + x)/(xy), x>0, and y=-4 when x=1, then when x=3, y= what?
5 answers
asked by
Hannah
1,011 views
How many critical points does the function f(x)=((x −1)^6) ((x + 5)^7) have?
4 answers
asked by
SERA
1,510 views
if sin(xy)=x, then dy/dx=
5 answers
asked by
Anonymous
11,805 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
2,046 views
Evaluate the triple integral ∭ExdV
where E is the solid bounded by the paraboloid x=4y2+4z2 and x=4 .
2 answers
asked by
val
69 views
For x≠0, the slope of the tangent to y=xcosx equals zero whenever:
(a) tanx=-x (b) tanx=1/x (c) sinx=x (d) cosx=x Please help.
4 answers
asked by
Jake
4,448 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
3,160 views
A curve is such that dy/dx = 2- 8(3x+4)^-1/2
- A point P moves along the curve in such a way that the x-coordinates is increasing
4 answers
asked by
Anon
2,676 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
2,495 views
If the line 3x-4y = 0 is tangent in the first quadrant to the curve y = x^3 + k, then k is
4 answers
asked by
S
13,990 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
1,057 views
One more question...
If you have f(x) = xsinx and the question is asking for the fourth degree Taylor polynomial about x=0, can
4 answers
asked by
maath
2,513 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
9,281 views
Find complete length of curve r=a sin^3(theta/3).
I have gone thus- (theta written as t) r^2= a^2 sin^6 t/3 and (dr/dt)^2=a^2
7 answers
asked by
ms
7,018 views
1. Let f be the function that is defined for all real numbers x and that has the following properties.
(i) f''(x)=24x-18 (ii)
5 answers
asked by
Yoona
7,681 views
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