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Calculus
Page 4
Questions (17,715)
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
1,853 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
2,430 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
4,911 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
3,829 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
1,084 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
2,176 views
The curve has tangent at the point P(-1,-2) find they gradient of this tangent at point P
4 answers
asked by
Krystyna
812 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
8,627 views
Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
4 answers
asked by
Matt
2,061 views
Determine the x coordinate of the point for which the tangent is horizontal to the function f(x) = (2^x)/x
4 answers
asked by
Anonymous
810 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
2,046 views
Time (min)0___10___20____30__40____50____60
Temp (F)68_72.64_76.97__80_82.9_85.38__87.5 Use the Trapezoidal Rule to find the best
4 answers
asked by
Anonymous
1,882 views
Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.
4 answers
asked by
John
1,990 views
f(x) = summation from n equals 0 to infinity of the quotient of the quantity n plus 1 and 3 to the n plus 1 power times x to the
4 answers
asked by
kaa
1,210 views
The graph of f ′(x), the derivative of x, is continuous for all x and consists of five line segments as shown below. Given f
5 answers
asked by
Alice
7,730 views
If a particle moves in the xy-plane so that at time t>0 its position vector is (e^(t²), e^(-t³)), then its velocity vector at
4 answers
asked by
Erica
1,951 views
Find the gradient of the curve xy^3 = 5 ln y at the point (0,1).
4 answers
asked by
Anique
650 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
1,296 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
2,339 views
R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1.
(a) Set up and evaluate an integral that
4 answers
asked by
Drake
931 views
Under what conditions for f'(x) and f''(X) can a graph be " straight" wthout being horizontal?
1 answer
asked by
gINa
323 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
4,244 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
1,955 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
3,839 views
Find the integral of 3cos2x-2sinx
6 answers
asked by
Samuel
632 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
2,580 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
2,247 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
1,475 views
The ordering and transportation cost C for components used in a manufacturing process is approximated by the function below,
4 answers
asked by
Karen
6,371 views
Find the area under the graph of f(x) = e-ln(x) on the interval [1, 2].
6 answers
asked by
Rich boi
4,548 views
a continuous function f has domain (1,25) and range (3,30). if f'(x) is less than 0 for all x between 1 and 25, what is f(25)?
a)
4 answers
asked by
Stanley
3,096 views
The region W is the cone shown below.
The angle at the vertex is 2π/3, and the top is flat and at a height of 5/sqrt(3). Write
4 answers
asked by
ally
8,617 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
2,839 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
9,537 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
2,771 views
Okay, I need major help! Can someone tell me if these statements are true or false ASAP please. Thank you.
1. If ƒ′(x) < 0
9 answers
asked by
Veronica
4,274 views
R is the region below the curve y=x and above the z-axis from x=0 to x=b, where b is a positive constant. S is the region below
4 answers
asked by
Will
794 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
5,394 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
4,330 views
Let f be defined as follows, where a does not = 0,
f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the
6 answers
asked by
Mishaka
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
1,932 views
Find the coordinates of the point on the curve y = x
3 − 3x 2 + 6x + 2 at which the gradient is 3
4 answers
asked by
DanishHakim
1,758 views
find the stationary point of the function
z=4x^2+10xy+4y^2-x^2y^2 and also determine their nature plz show me step i don't know
3 answers
asked by
samara
1,606 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
2,320 views
Let f be the function given by f(x) = tan x and let g be the function given by g(x) = x^2. At what value of x in the interval
4 answers
asked by
Erica
6,602 views
Use Taylor series expansions (zero through fourth order) to predict f (2) for f (x) = ln(x) with a
base point at x = 1. Determine
4 answers
asked by
jessy
4,948 views
1. Which of the following functions grows the fastest as x goes to infinity?
- 2^x - 3^x - e^x (my answer) - x^20 2. Compare the
3 answers
asked by
Deondre
7,006 views
Linear approximation:
Consider the curve defined by -8x^2 + 5xy + y^3 = -149 a. find dy/dx b. write an equation for the tangent
4 answers
asked by
Katie G
3,375 views
evaluate the surface integral
double integral (y dS) z= 2/3 (x^3/2 + y^3/2) 0 ≤ x ≤ 5, 0 ≤ y ≤ 2
4 answers
asked by
sara
2,726 views
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