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Calculus
Page 6
Questions (17,686)
The base of a solid enclosed between the graphs of y = sinx and y= -sinx from x=0 to x = pi . Each cross-section is
4 answers
asked by
Anonymous
1,214 views
let f be the function defined by f(x)=3X^5 -5X^3 +2
a) on what interval is f increasing? b) on what interval is the graph of f
6 answers
asked by
Yoona
4,108 views
Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)
h(x) =
4 answers
asked by
Jacob
4,536 views
1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x.
2) If z
4 answers
asked by
Claire
12,665 views
A function f(x) is continuous for all x and has a local minimum at (1,8). Which must be true?
A. f'(1)=0 B. f' exists at x=1 C.
4 answers
asked by
Anonymous
1,687 views
Suppose f(x) = 4x^5-(1/x^4)
Find the slope of the tangent line to the graph of y = f^–1(x) at (3, 1). You get: 1/24 1/16 00062
5 answers
asked by
Thomas
2,694 views
dy/dx+tanx tany=cosx secy
5 answers
asked by
Karthi
4,443 views
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
2,840 views
The derivative of f(x) = x^4/3 - x^5/5 attains its maximum value at x =
5 answers
asked by
Ann
6,994 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
4,861 views
if 4x^2+8xy+9y^2-8x-24y+4=0 show that when dy/dx=0, x+y=1 and d^2y/dx^2=4/(8-5y) hence find the maximum and minimum values of y
p
5 answers
asked by
...
2,476 views
Let f(x) = l (sinx) - 1/2 l. <--- absolute value of sinx - 1/2
The maximum value attained by f is.
5 answers
asked by
Vi
3,708 views
The line x=c is a veritcal asymptote of the graph of the function f Which of the following statements cannot be true?
A. Lim as x
5 answers
asked by
Anonymous
2,336 views
The Cost (in dollars) of producing x units of a certain commodity is C(x) = 500 + 10x + 0.005x
2 i. Find the average rate of
5 answers
asked by
Joxen
3,130 views
Consider the equation x^2y+3y^3=24
Find dy/dx I got -2xy/x^2+9y^2 The next question is Determine the points, if any where the
6 answers
asked by
Anonymous
2,715 views
y = x^2
y = 6 - x Find the area of the region by integrating (a) with respect to x and (b) with respect to y.
1 answer
asked by
Erica
471 views
The velocity function, in feet per second, is given for a particle moving along a straight line.
v(t) = t3 − 10t2 + 27t − 18,
6 answers
asked by
Ian
2,226 views
The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the
5 answers
asked by
Dloc
6,010 views
Find an equation of the curve that satisfies the given conditions: (d^2y/dx^2)=6x, the line y=5-3x is tangent to the curve at
5 answers
asked by
Tim
2,688 views
Let M be the region under the graph f(x) = 3/(e^x) from x = 0 to x = 5.
M is the base of a solid whose cross sections are
4 answers
asked by
maeil
763 views
An equation of the tangent line to the graph f(x)=5x-3/3x-6) at the point (3,4) is
A.7x+3y=37 B.7x-3y=9 C.7x+3y=33 D.13x+3y=51
4 answers
asked by
Anonymous
1,610 views
Sand is being dropped at the rate of 10 cubic meter per minute onto a conical pile. If the height of the pile is always twice
11 answers
asked by
:)
10,157 views
can you help me find
integration [2xy/(x^2+y^2)^2] do x ?
4 answers
asked by
uk
2,197 views
Carlota Music Company estimates that the marginal cost of manufacturing its Professional Services guitars in dollars/month by
4 answers
asked by
Vanessa
4,141 views
Verify these answers :]
Would be thankies~ 1. Determine the intervals in which the reciprocal function of f(x)= x^2+1 is
4 answers
asked by
Jayson
2,458 views
a) Find the area of the region R bounded by the graphs of the equations y=2x−x^2, x=0, and y=0.
b)The line y=cx, where c>0,
4 answers
asked by
McKenna
1,210 views
find dy/dx assuming that y is differentiable with respect to x and x is also differentiable with respect to y.
a)xy+x^2y^2=x^3y^3
6 answers
asked by
ruth
670 views
Find the volume of the solid obtained by rotating the region underneath the graph of f(x) = (x)/sqrt(x^3+1) about the y-axis
4 answers
asked by
Cara
1,775 views
Find normals to the curve xy+2x-y=0 that are parallel to the line 2x+y=0
I have the answer: at(-1,-1), y=-2x-3, and at (3,-3),
4 answers
asked by
Jen
4,646 views
Suppose f is a one-to-one, differentiable function and its inverse function f^−1 is also differentiable. One can show, using
4 answers
asked by
quarantine
5,409 views
1. If 3x^2+2xy+y2=2 then the value of dy/dx x = 1 is
A. -2 B. 0 C. 2 D. 4 E. not defined
6 answers
asked by
Taeyeon
20,534 views
f (x)={cx+d for x≤2
{-x^2−cx for x>2 Let f be the function defined above, where c and d are constants.
4 answers
asked by
andee
8,178 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
7,009 views
Find the point P in the first quadrant on the curve y=x^-2 such that a rectangle with sides on the coordinate axes and a vertex
5 answers
asked by
Gabriela
3,617 views
Given that f is a differentiable function with f(2,5) = 6, fx(2,5) = 1, and fy(2,5) = -1, use a linear approximation to estimate
4 answers
asked by
James
3,865 views
How fast is the area of a square increasing when thh side is 3m in length and growing at a rate of 0.8m/min?
I did Area=x^2
7 answers
asked by
sh
2,672 views
Given that g(t) is continuous, find the value of c: g(t) = {ct + 2 if t < - 2; cos(pit/2) if t >= -2.
a. c = 3/2 b. c = 1/2 c. c
7 answers
asked by
Sarah
2,281 views
Consider the curve given by x^ 2 +sin(xy)+3y^ 2 =C, where Cis a constant. The point (1, 1) lies on this curve. Use the tangent
4 answers
asked by
Sarah
2,789 views
Suppose that y=f(x) = sqrt(2x), x>=0
Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as
5 answers
asked by
Thomas
3,348 views
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))?
2. Find the
4 answers
asked by
gerald
3,505 views
If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is used to find the approximation for f(1.9), then the % error
5 answers
asked by
KRISTAL
4,106 views
Consider the curve given by y^2 = 2+xy
(a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line
5 answers
asked by
Mathew
5,804 views
Evaluate the Riemann sum for f(x) = 5 −1/2x, 2 ≤ x ≤ 14,with six subintervals, taking the sample points to be left
4 answers
asked by
Jack
5,274 views
Find the area of the region bounded by the curves y = sin x, y = csc^2x, x = pi/4, and x = (3pi)/4.
5 answers
asked by
Slaya
3,360 views
Find the exact area of the surface obtained by rotating the curve about the x-axis.
y=((x^3)/4)+(1/3X), 1/2≤X≤1
4 answers
asked by
alex
2,792 views
Please check my answers (and give correct ones) I tend to make dumb mistakes so I'm trying to work on that (sorry in advance)
4 answers
asked by
Mary
2,005 views
Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the
4 answers
asked by
Karen
4,033 views
A car leaves an intersection traveling east. Its position t sec later is given by
x = t2 + t ft. At the same time, another car
5 answers
asked by
sal
3,757 views
The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in feet.
5 answers
asked by
Jonathan
5,689 views
If f(x)= sqrt(4sin(x)+2), then f'(0)=
6 answers
asked by
Anna
5,369 views
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