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Calculus
Page 4
Questions (17,686)
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
3,298 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
1,396 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
1,195 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
1,900 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
48 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
12,261 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
4,556 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
2,123 views
the integral from 2 to 3 of 1 divided by the quantity 3 times x minus 2, dx is equal to the integral from 4 to 7 of 1 divided by
5 answers
asked by
Ella
2,237 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
1,739 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
9,125 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
3,189 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
3,650 views
1. For f(x)=sin^(2)x and g(x)=0.5x^2 on the interval
[-pi/2,pi/2], the instantaneous rate of change of f is greater than the
5 answers
asked by
Jacke
2,833 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
4,324 views
(Re-posting because I think the first one got lost in all the questions)
This isn't a test or assignment, it's a review for
3 answers
asked by
Rose
2,311 views
If y = 2 f(g(x)), then d2y/dx2 = ? The d2y/dx2 means the second derivative, I believe.
5 answers
asked by
Kaiti
2,155 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
2,487 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
2,039 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
4,575 views
What is lim h->0 ((8 (1/2+h)^8) - 8 (1/2)^8)/h ?
6 answers
asked by
Amy
4,218 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
2,038 views
Does the following infinite geometric series diverge or converge? Explain.
3 + 9 + 27 + 81 + . . . A) It diverges; it does not
10 answers
asked by
M, S, E,
4,700 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
1,659 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
2,940 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
2,404 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
5,688 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
1,159 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
1,089 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
7,931 views
f''(x)= 4e^x-9sin(x) f(0)=3 f(pi/2)=0
I am to find f(x); but I am confused about how to do that. Could I please get some help? I
5 answers
asked by
Rajan
3,004 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
3,200 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
5,900 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
3,161 views
2. The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory
4 answers
asked by
naseba
5,764 views
If u,v, and w are nonzero differentiable functions, then the derivative of uv/w is what?
4 answers
asked by
Ian
6,083 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
5,456 views
Given the equation xy = 2, set up an integral to find the length of path from x = a to x = b and enter the integrand below.
I did
4 answers
asked by
Katelyn
3,498 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
2,831 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
5,017 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
4,509 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
4,221 views
Use geometry(geometric formulas) to evaluate the integral from 0 to 6 f(x) dx, for the system of equations:
f(x)= 4-x for x LESS
9 answers
asked by
Justin
4,123 views
What is the nth derivative of sinhx and coshx?
5 answers
asked by
Muritala
4,545 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.
1,653 views
Given the table below for selected values of f(x), use 6 right rectangles to estimate the value of the integral from 1 to 10 of
5 answers
asked by
Harry
5,892 views
let y=(x+sin(x))^2
f(x)=? g(x)=? (f o g)'=? compute the derivative using the chain rule
4 answers
asked by
Mark
1,850 views
Consider the functions f(x) = (x^3 / (x^4+1)) and g(x) = (x / (x^4+1)). Let R denote the region in the first quadrant bounded by
4 answers
asked by
tubbo
951 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
5,305 views
find the area of the region bounded by the graphs of y=-x^2+5x+2 and y=2
5 answers
asked by
Dloc
2,479 views
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