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Calculus
Page 4
Questions (17,715)
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
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
1,885 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
651 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
1,297 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
2,341 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
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
53 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
4,246 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
1,957 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
3,840 views
Find the integral of 3cos2x-2sinx
6 answers
asked by
Samuel
634 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
1,476 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
6,372 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
8,619 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
2,840 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
4,122 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
1,759 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
2,323 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
4,949 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
7,007 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
3,380 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
The base of a solid enclosed between the graphs of y = sinx and y= -sinx from x=0 to x = pi . Each cross-section is
4 answers
asked by
Anonymous
1,225 views
let f be the function defined by f(x)=3X^5 -5X^3 +2
a) on what interval is f increasing? b) on what interval is the graph of f
6 answers
asked by
Yoona
4,119 views
1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x.
2) If z
4 answers
asked by
Claire
12,672 views
Suppose f(x) = 4x^5-(1/x^4)
Find the slope of the tangent line to the graph of y = f^–1(x) at (3, 1). You get: 1/24 1/16 00062
5 answers
asked by
Thomas
2,704 views
Find
dy/dx and d2y/dx2. x = et, y = te−t
5 answers
asked by
sara
19,834 views
The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b
4 answers
asked by
kudu
2,850 views
The gradient of a curve is defined by
dy/dx = 3x^(1/2) - 6 Given the point (9, 2) lies on the curve, find the equation of the
4 answers
asked by
James
2,856 views
The derivative of f(x) = x^4/3 - x^5/5 attains its maximum value at x =
5 answers
asked by
Ann
7,003 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,
4,714 views
if 4x^2+8xy+9y^2-8x-24y+4=0 show that when dy/dx=0, x+y=1 and d^2y/dx^2=4/(8-5y) hence find the maximum and minimum values of y
p
5 answers
asked by
...
2,484 views
Create a graph of a function given the following information:
The instantaneous rate of change at x = 2 is zero. The
4 answers
asked by
ROBIN
1,793 views
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