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Calculus
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Questions (17,715)
If f′ (x)=((x−2)^3(x^2−4))/16 and g (x)= f(x^2−1) , what is g′ (2) ?
a. 2 b. 5/4 c. 5/8 d. 5/16 e. 0 I don't know
4 answers
asked by
ann
1,573 views
Let R be the region enclosed by the graphs y=e^x, y=x^3, and the y axis.
A.) find R B.) find the volume of the solid with base on
4 answers
asked by
Michelle
5,098 views
If dy/dx = x cos x^2 and y = −3 when x = 0, when x = pi, y = .
A. −3.215 B. sqrt(2) C. 1.647 D. 6 E. 3pi All of the potential
5 answers
asked by
ANONYMOUS
2,125 views
Use midpoints to approximate the area under the curve (see link) on the interval [0,1] using 10 equal subdivisions.
imagizer.imag
7 answers
asked by
Erik
4,516 views
A plane flies horizontally with a speed Of 600km/h at an altitude of 10km and pasess directly over th town of quinton .find the
7 answers
asked by
mehak
3,878 views
Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the
4 answers
asked by
Alice
3,736 views
The function f is continuous on the interval [2, 10] with some of its values given in the table below. Use a trapezoidal
7 answers
asked by
Alice
3,669 views
f'(x)=sqrt(x)*sin(x)
The first derivative of the f is given above. If f(0)=0, at what value of x does the function f attain its
5 answers
asked by
Mike
1,532 views
The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table
7 answers
asked by
Henry
5,317 views
Find lim x->3.5 [[x-2]]/x (Remember that [[x]] is the greatest integer function)
The choices are -1/3.5 1/3.5 0 -2/3.5 Does not
5 answers
asked by
Stephanie
1,899 views
For the function whose values are given in the table below, the integral from 0 to six of f(x)dx is approximated by a Reimann
4 answers
asked by
Alice
2,588 views
x = t − 2 sin t, y = 1 − 2 cos t, 0 ≤ t ≤ 6π
Set up an integral that represents the length of the curve.
4 answers
asked by
Zoey
4,581 views
Find the volume of the solid formed by rotating the region enclosed by y=e2x+1, y=0, x=0, x=0.9 about the y-axis.
4 answers
asked by
carlton
3,300 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
887 views
The velocity of a car is recorded every 10 seconds, as shown in the table below.
t(sec) 0 10 20 30 40 50 60 70 v(t) (ft/sec) 4 12
2 answers
asked by
Anonymous
194 views
Describe the vertical asymptote(s) and hole(s) for the graph of y = (x - 6) / (x^2 + 5x + 6). (1 point) Responses
asymptotes: x =
1 answer
asked by
Denim
53 views
Let f be twice differentiable with (f(0)=4), (f(1)=8), and (f'(1)=6). Evaluate the integral from 0 to 1 of xf''(x)dx\).
I have no
5 answers
asked by
Anonymous
12,280 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
4,566 views
Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function and the x-axis over
6 answers
asked by
Aravinda
2,128 views
Remember that f(x) must be one-to-one (only one y-value for each x-value) over the domain where f –1(x)is defined as a
5 answers
asked by
Thomas
1,749 views
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.
y = 6
5 answers
asked by
TayB
9,136 views
. A container in the shape of a right circular cone of height 10cm and base radius 1cm is
catching water from a tap leaking at
4 answers
asked by
tom
1,790 views
Let f be the function defined by f(x) = (x^2 + 1)e^-x for -4≤x≤4.
a. For what value of x does f reach its absolute maximum?
4 answers
asked by
Isaac
3,657 views
he rate of change of y with respect to t is 3 times the value of the quantity 2
less than y. Find an equation for y, given that y
7 answers
asked by
anonymus
1,206 views
Given the position function, s of t equals negative t cubed divided by 3 plus 13 times t squared divided by 2 minus 30 times t,
4 answers
asked by
Mel
4,558 views
State two intervals in which the function y=7sin(1/5x)+2 has an average rate of change that is:
a) zero b)a negative value c)a
5 answers
asked by
linda
2,506 views
1) The average value of the function g(x) = 3^cos x on the closed interval [ − pi , 0 ] is:
2)The change in the momentum of an
4 answers
asked by
ReviewDay :(
2,862 views
If y = 2 f(g(x)), then d2y/dx2 = ? The d2y/dx2 means the second derivative, I believe.
5 answers
asked by
Kaiti
2,159 views
Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2)
4 answers
asked by
Mishaka
2,535 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
2,049 views
dy/dx+tanx tany=cosx secy
5 answers
asked by
Karthi
4,453 views
What is lim h->0 ((8 (1/2+h)^8) - 8 (1/2)^8)/h ?
6 answers
asked by
Amy
4,221 views
Suppose that f(x)=x−7x^[1/7]
(A) Find all critical values of f. (B) Use interval notation to indicate where f(x) is increasing
3 answers
asked by
Kris
2,048 views
Sketch the region enclosed by the given curves. Find its area.
y=7cos pi x, y=12x^2-3
4 answers
asked by
TayB
2,944 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
...
6,544 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
7,935 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
5,907 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
4,918 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
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
3,177 views
If a factory continuously pumps pollutants into the air at the rate of √(t)/15 tons per day, then the amount dumped after 3
5 answers
asked by
Alice
3,857 views
Consider the curve given by the equation y^3+3x^2y+13=0
a.find dy/dx b. Write an equation for the line tangent to the curve at
4 answers
asked by
Little
5,470 views
Find the maximum distance from the curve y=2√2x to the point (6, 0).
4 answers
asked by
Devi Amour
1,917 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
2,292 views
if integral of 2 to -2 (x^7+k)dx=16, then k=
a)-12 b)12 c)-4 d)4 e)0
5 answers
asked by
illiana
2,835 views
1. The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = –3. Which of the following statements must
4 answers
asked by
Justin
5,709 views
Find the equation of a tangent line to the curve y=e^(x^2) that also passes through the point (1,0).
Thanks in advance !
10 answers
asked by
drip llama
1,005 views
1. Consider the curve y = f(x) = 2^x - 1.
A. Find the exact area of the region in the first quadrant bounded by the curves y =
7 answers
asked by
KingS.
1,696 views
4. Given ln(x/y) + y^3 - 2x = -1.
A. Find the equation of the normal line to the curve ln(x/y) + y^3 - 2x = -1 at the point
4 answers
asked by
KingS.
1,657 views
Given that the antiderivative of f(x) = e4x is F(x) = 1/4e^4x+C, evaluate the integral from 0 to 2 of e^4x, dx.
e^8 1/4(1-e^8)
4 answers
asked by
Jess
2,950 views
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