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Calculus
Page 5
Questions (17,663)
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
5,685 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
1,156 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
1,083 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
4,639 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
3,196 views
If u,v, and w are nonzero differentiable functions, then the derivative of uv/w is what?
4 answers
asked by
Ian
6,075 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
3,495 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
4,502 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
4,101 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
3,356 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
4,541 views
If f(x)= sqrt(4sin(x)+2), then f'(0)=
6 answers
asked by
Anna
5,366 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
2,935 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
1,847 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
5,296 views
Find the antiderivative of
e^(2lnx) + e^(2x)
4 answers
asked by
Pleaseee
2,377 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
8,605 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
2,031 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
3,334 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
733 views
Suppose the total cost, C(q), of producing a quantity q of a product is
given by the equation C(q) = 5000 + 5q The average cost
4 answers
asked by
kyle
1,283 views
Two separate rabbit populations are observed for 80 weeks, starting at the same time and with the same initial populations. The
4 answers
asked by
questioner
1,008 views
If dy/dx=(xy^2) and if y=1 when x=0, then when y=3, x is equal to
a) 1/8 b) - π/8 c) 1 d) (2√3)/3
4 answers
asked by
Alice
1,216 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
1,799 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
1,190 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
173 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
1,684 views
This is on the 2008 Free response AP Calc AB exam- #4a.
Let f be the function given by f(x)=(lnx)(sinx). The figure above shows
3 answers
asked by
Cindy
1,287 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
768 views
Evaluate the integral
interval from [0 to pi] t sin(3t)dt Use integration by parts u=t and dv=sin(3t)dt. then du=dt and
4 answers
asked by
Vicky
2,323 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
2,789 views
What is the rate of change of the function y, equals, x, plus, 2y=x+2
1 answer
asked anonymously
99 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
90 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
44 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
42 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 :)
414 views
Under what conditions for f'(x) and f''(X) can a graph be " straight" wthout being horizontal?
1 answer
asked by
gINa
317 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
4,227 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
1,640 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
1,938 views
The slope of the line normal to the graph of 4 sin x + 9 cos y = 9 at the point (pi, 0) is:
Derivative: 4cosx - 9siny(dy/dx) = 0
15 answers
asked by
Mishaka
3,821 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
2,227 views
The slope of the tangent line to a curve at any point (x, y) on the curve is x divided by y. What is the equation of the curve
5 answers
asked by
Anonymous
1,463 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
7,315 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
2,300 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
7,011 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
1,994 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
9,519 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
2,759 views
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