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Calculus
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Questions (17,718)
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
6,484 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
1,533 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
5,318 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
1,901 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
2,589 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
4,585 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
889 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
58 views
Find the arc length of the curve y^3=8x^2 fr0m x=1 to x=8.
4 answers
asked by
James
3,083 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
12,283 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
3,937 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
9,140 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
13,567 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
3,658 views
if f'(x)=cos x and g'(x)=1 for all x, and if f(0)=g(0)=0, then the
limit x--->0 fo function f(x)/g(x)= okay, so f(x)=sinx g(x)=x
4 answers
asked by
david
4,858 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
1,208 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 :(
2,864 views
If y = 2 f(g(x)), then d2y/dx2 = ? The d2y/dx2 means the second derivative, I believe.
5 answers
asked by
Kaiti
2,161 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
70 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
4,451 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
2,536 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
13,992 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
2,051 views
dy/dx+tanx tany=cosx secy
5 answers
asked by
Karthi
4,456 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
2,050 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
2,946 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
4,661 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
2,514 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
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
3,180 views
Suppose that f(x), f'(x), and f''(x) are continuous for all real numbers x, and the f has the following properties.
I. f is
5 answers
asked by
Anonymous
3,958 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
2,134 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
2,294 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
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.
1,660 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
2,953 views
Find the area of the region bounded by the curves y = x^(-1/2), y = x^(–2), y = 1, and y = 3.
a) (1/2)(3)^1/2 + (4/3) b)
5 answers
asked by
Emily
2,432 views
A particle is moving along the x-axis according to the position function s(t)=3t^2-t^3. What is its maximum velocity?
A. 1 B. 2
5 answers
asked by
Anonymous
2,602 views
Let R be the region in the first quadrant under the graph of y=1/sqrt(x) for 4</=x</=9.
(a)Find the area of R. I took the
5 answers
asked by
Anonymous
4,913 views
find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane
1) solve using
7 answers
asked by
AIRA
3,830 views
Use implicit differentiation to find an equation of the tangent line to the curve.
sin(x+y)=4x−4y at the point (π,π). Tangent
4 answers
asked by
quarantine
2,273 views
Which value of c satisfies the MVT for f(x) = x*sinx on [1,4]?
My answer is 2.463.
6 answers
asked by
Anonymous
1,087 views
Find the point on the curve y =2/3 〖√(18-x^2 )〗 (first quadrant) where a tangent line may be drawn so that the area of the
4 answers
asked by
Anonymous
2,179 views
Consider the given function and the given interval.
f(x) = 4 sin x − 2 sin 2x, [0, π] (a) Find the average value fave of f on
4 answers
asked by
James
8,629 views
Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
4 answers
asked by
Matt
2,064 views
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