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Calculus
Page 5
Questions (17,654)
5. If f (x)=(2x+1)^4 then the 4th derivative of f(x)=0 at x = 0 is..
5 answers
asked by
Yoona
7,920 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
3,189 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
If u,v, and w are nonzero differentiable functions, then the derivative of uv/w is what?
4 answers
asked by
Ian
6,071 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
4,496 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
4,098 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
3,352 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
4,115 views
What is the nth derivative of sinhx and coshx?
5 answers
asked by
Muritala
4,537 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
2,931 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
1,843 views
The slope of the line normal to the curve e^x − x^3 + y^2 =10 at the point (0, 3) is ____
5 answers
asked by
Pax
1,691 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
8,599 views
Find the volume of the solid generated by revolving about line x = -4 the region bounded by x = y - y^2 and x = y^2 - 3
4 answers
asked by
Ryan
2,024 views
Question: Find the volume of revolution bounded by y-axis, y=cos(x), and y=sin(x) about the horizontal axis.
Since the rotation
3 answers
asked by
Luna
3,330 views
Find the value of a so that the function f(x)=xe^(ax) has a critical point at x=8.
a =
4 answers
asked by
need homework help please
730 views
a certain radioactive substance is decaying so that at time t, measured in years, the amount of the substance, in grams, is
4 answers
asked by
Sara
2,309 views
Given f(x)=1+sinX and get g(x)=cos 2X
Calculate the points of intersection of the graph f and g for x€{180°;360°}
4 answers
asked by
Luyanda
937 views
The population, p in thousands of bacteria colony can be modelled by the function p(t)=200+20t-t^2, where t is the time, in
4 answers
asked by
Anonymous
1,796 views
A particle moves along a path described by x=cos³t and y=sin³t. The distance that the particle travels along the path from t=0
3 answers
asked by
Erica
1,185 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
169 views
Evaluate the surface integral.
double integral ydS S is the part of the paraboloid y = x2 + z2 that lies inside the cylinder x2 +
4 answers
asked by
rebecca
1,679 views
Consider the area between the graphs x+1y=12 and x+8=y2 . This area can be computed in two different ways using integrals
First
3 answers
asked by
jasmineT
1,681 views
for 0<=t<=21 the rate of change of the number of black flies on a coastal island at time t days is modeled by
4 answers
asked by
Anon
763 views
Sketch the region enclosed by the curves x=64−y^2 and x=y^2−64. Decide whether to integrate with respect to x or y. Then
4 answers
asked by
kind
2,784 views
What is the rate of change of the function y, equals, x, plus, 2y=x+2
1 answer
asked anonymously
94 views
The graph shows the number of gallons in a wading pool that is being drained. Using the points (1,160) and (3,80) as (x1,y1) and
1 answer
asked by
Demon
80 views
Fill in the blanks using the function below to describe the end behavior.
As x approaches - ∞, f(x) approaches _ a. infinity b.
1 answer
asked anonymously
39 views
Spud McTator climbs his sailboat's mast while anchored. He fires his potato gun. The height of the potato above the ocean is
1 answer
asked by
help :)
412 views
Under what conditions for f'(x) and f''(X) can a graph be " straight" wthout being horizontal?
1 answer
asked by
gINa
315 views
Which of the following functions is continuous but not differentiable at x = 1?
Functions: I.y=3√x-1 II.y={x^2,x≤1 2x,x>1
5 answers
asked by
Racquel
4,225 views
The slope of the tangent line to the graph y= x^3/3-x at the point (1, -2/3)
So I plugged this into y= and I found the (1,-2/3)
5 answers
asked by
Arnold
1,636 views
If f(x) = sin(7 − 5x), find f′(π), which is the derivative at π:
−0.754 −0.657 0 0.657 3.770 I chose 0.657 ... I did
5 answers
asked by
Nick
1,933 views
g'(x)=tan(2/1+x^2)
Let g be the function with first derivative given above and g(1)=5. If f is the function defined by
4 answers
asked by
Will
2,559 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
2,221 views
Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a
4 answers
asked by
Kelly
7,312 views
Let r(t) = < sin(6t), cos(6t), sin(6t)cos(12t) >.
Find the point where r(t) intersects the xy-plane on the interval π/6 < t <
4 answers
asked by
EKM
2,296 views
What is the relative maximum and minimum of the function?
f(x) = 2x^3 + x^2 -11x A - The realative maximum is at (-1.53,8.3) and
10 answers
asked by
Tyler
7,005 views
Problem solving with derivatives.
A rectangular box has square base of edge length x cm. Its framework of 12 edges is constructed
4 answers
asked by
GZB
1,990 views
The motion of an avalanche is described by s1t2 3t2, where s is the distance, in metres, travelled by the leading edge of
6 answers
asked by
Morris
2,592 views
let f(x)=(x-1)^2, g(x)=e^(-2x), and h(x)=1+ ln(1-2x)
find linearization of f, g, and h at a=0 Lf(x)= Lg(x)= Lh(x)= graph f,g, and
5 answers
asked by
Ahmed
9,516 views
Find the value of a so that the function f(x) = xe^(ax) has critical point at x = 9
I found that the derivative is
4 answers
asked by
Calculus
2,756 views
A certain computer algorithm used to solve very complicated differential equations uses an iterative method. That is, the
7 answers
asked by
bee
1,371 views
The region bounded by y=e^(-x^2),y=0 ,x=0 ,x=1 and is revolved about the y-axis. Find the volume of the resulting solid.
4 answers
asked by
Nycw
5,380 views
The region in the first quadrant bounded by y=6x^2 , 2x+y=8, and the y-axis is rotated about the line x=-1.
The volume of the
5 answers
asked by
Anon
2,339 views
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
4,540 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
4,121 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
1,914 views
What is the frequency of the function f(x)?
f(x)=−2sin(x/4)+3 Express the answer in fraction form. would is be (x/4)?
4 answers
asked by
sammiexo
3,974 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
1,173 views
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