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Calculus
Page 6
Questions (17,658)
If the function f(x) is differentiable and
f(x)= {ax^3 + 6x, if x≤1 {bx^2 + 4, if x>1 then a = What do I do?? No idea what's
7 answers
asked by
BOB
4,541 views
The differential equation dy dx equals the quotient of x and y squared.
will have a slope field with negative slopes in quadrant
4 answers
asked by
Anonymous
4,124 views
Given that f(-0.5)=2 and f'(-0.5)=4, use a tangent line approximation to estimate f(0).
The lesson is not very clear on what a
4 answers
asked by
JULIA
1,917 views
Hello! I'm having trouble understanding how I'm supposed to work out this problem. Any help would be appreciated!
Find the area
5 answers
asked by
Pax
1,175 views
1. Which of the following functions grows the fastest as x goes to infinity?
- 2^x - 3^x - e^x (my answer) - x^20 2. Compare the
3 answers
asked by
Deondre
6,998 views
If y = 2 f(g(x)), then d2y/dx2 = ? The d2y/dx2 means the second derivative, I believe.
5 answers
asked by
Kaiti
2,144 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
58 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
4,103 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
4,530 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
12,654 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
1,683 views
dy/dx+tanx tany=cosx secy
5 answers
asked by
Karthi
4,437 views
What is lim h->0 ((8 (1/2+h)^8) - 8 (1/2)^8)/h ?
6 answers
asked by
Amy
4,206 views
Two aeroplanes fly eastwards on parallel courses 12 miles apart. One flies at 240 m.p.h. and the other at 300 m.p.h. How fast is
4 answers
asked by
binh
4,240 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
3,703 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
2,331 views
A circular oil slick is expanding with radius, r in feet, at time t in hours given by r=12t−0.3t^22, for t in hours,
4 answers
asked by
George Carl
2,158 views
If a ball is thrown into the air with a velocity of 30m/s, its height in metres after t seconds is given by y=30t-4.9t^2
Fing the
4 answers
asked by
sh
2,395 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
3,125 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
2,706 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
465 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
2,216 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
2,677 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
1,605 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
:)
10,146 views
can you help me find
integration [2xy/(x^2+y^2)^2] do x ?
4 answers
asked by
uk
2,183 views
Given G of x equals the integral from 1 to x of the natural logarithm of the quantity 2 times t plus 1, dt, find G '(x)
ln(2x +
4 answers
asked by
Anonymous
2,322 views
If f(5)=3 and f'(5)=-2, find the derivative of x^2f(x) at x=5.
A. 0 B. -18 C. -12 D. -20 E. -80 I got D
4 answers
asked by
Sarah
1,760 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
1,045 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
2,452 views
If you switch the domain and range of any function, will the resulting relation always be a function? Explain your answer with
5 answers
asked by
arya
950 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
663 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
1,769 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
4,634 views
5. If f (x)=(2x+1)^4 then the 4th derivative of f(x)=0 at x = 0 is..
5 answers
asked by
Yoona
7,924 views
At x = 3, the function given by f(x) = { x² , x<3} ; {6x-9 , x ≥ 3} is
a. continuous but not differentiable. b. differentiable
4 answers
asked by
John Ng
6,471 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
20,521 views
The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point?
Please help. Thanks in
5 answers
asked by
Jen
10,859 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
7,003 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
3,611 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
3,854 views
An ant is walking along the curve x^2+xy+y^2=19. If the ant is moving to the right at the rate of 3 centimeters/second, how fast
4 answers
asked by
Anonymous
3,131 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
2,663 views
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
4 answers
asked by
sp
14,751 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
2,273 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
2,784 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
3,497 views
For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π].
5 answers
asked by
mock
4,691 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
5,795 views
Suppose the integral from 2 to 8 of g of x, dx equals 5, and the integral from 6 to 8 of g of x, dx equals negative 3, find the
4 answers
asked by
Lilly
7,208 views
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