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Calculus
Page 3
Questions (17,663)
Find the 999th derivative of cos x.
I got sin x.
4 answers
asked by
Dave
6,451 views
An equation of the line tangent to the graph of y=(2x+3)/(3x-2) at the point (1,5) is...do I take the derivative of
12 answers
asked by
Anonymous
17,661 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
7,654 views
The table below gives selected values for the function f(x). With 5 rectangles, using the left side of each rectangle to
10 answers
asked by
Alice
6,321 views
If x + 7y = 29 is an equation of the line normal to the graph of f at the point (1,4), then f'(1) =
PLEASEEE HELP!
4 answers
asked by
Nina
4,938 views
A point moves along the curve y= x^3 -3x + 5 so that x= 1/2 square root t + 3 where t is the time. At what rate is y changing
4 answers
asked by
Elizabeth
2,812 views
Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,β2). If so, find the
4 answers
asked by
Alice
3,722 views
Consider the function f(x)=x^n e^-2x for x greater than or equal to 0, where n is some unknown constant greater than 2.
A Find
4 answers
asked by
Miller
1,512 views
Given the table below for selected values of f(x), use 6 right rectangles to estimate the value of the integral from 1 to 10 of
5 answers
asked by
Harry
5,880 views
Suppose that f is a differentiable function with derivative
π'(π₯) = (π₯ β 3)(π₯ + 1)(π₯ + 5). Determine the
4 answers
asked by
Anna
1,646 views
Find the range of the function F(x)=integral from 0 to x of β(4-t^2) dt
a) [0,4Ο] b) [0,Ο] c) [-4,0] d) [0,4]
5 answers
asked by
Alice
5,749 views
The area enclosed by the loop of the curve π¦
2 = π₯(1 β π₯)2is revolved about the y-axis. Find the volume generated.
4 answers
asked by
Anonymous
757 views
The position function of a particle in rectilinear motion is given by s(t) = 2t^3 β 21t^2 + 60t + 3 for t β₯ 0. Find the
4 answers
asked by
Mel
3,791 views
find the area between the curve y= x^2+4x and the x - axis from x=-2 to x= 0.
5 answers
asked by
Reply andago
903 views
1. At which values of x does the graph of f(x)=cos x intersect the x-axis? Select all that apply. (2 answers)
a. 0*** b. pi/2***
9 answers
asked by
girly girl
4,758 views
Use linear approximation, i.e. the tangent line, to approximate 1/0.104 as follows: Let f(x)=1/x and find the equation of the
4 answers
asked by
Jojo
7,455 views
If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f prime of x equals (x2-4)*g(x),
4 answers
asked by
matthew
10,808 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
2,488 views
The table below gives data points for the continuous function y = f(x).
ibb.co/2W0nQpC (Image link) Approximate the area under
5 answers
asked by
Taa
937 views
How do you do this?
Find the volume generated by revolving the area bounded by the ellipse(x^2)/9 + (y^2)/4 = 1 about the line
4 answers
asked by
Rin
4,658 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
1,211 views
For xβ 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
4,429 views
Find the positive value of the parameter t corresponding to a point on the curve parametrized by
{x= t^2 +3 ; y=t^2+t for which
4 answers
asked by
Anonymous
3,149 views
Suppose f(x) = 4x^5-(1/x^4)
Find the slope of the tangent line to the graph of y = f^β1(x) at (3, 1). You get: 1/24 1/16 00062
5 answers
asked by
Thomas
2,691 views
Find
dy/dx and d2y/dx2. x = et, y = teβt
5 answers
asked by
sara
19,821 views
A curve is such that dy/dx = 2- 8(3x+4)^-1/2
- A point P moves along the curve in such a way that the x-coordinates is increasing
4 answers
asked by
Anon
2,651 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
13,964 views
sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the
5 answers
asked by
Inkiena
9,260 views
Consider the curve given by the equation y^3+3x^2y+13=0
a.find dy/dx b. Write an equation for the line tangent to the curve at
4 answers
asked by
Little
5,449 views
if integral of 2 to -2 (x^7+k)dx=16, then k=
a)-12 b)12 c)-4 d)4 e)0
5 answers
asked by
illiana
2,824 views
The function f is given by f(x)=3x^2+1. What is the average value of f over the closed interval [1,3]?
The answer I get is 12,
5 answers
asked by
Mike
1,456 views
Use two rectangles of equal width to estimate the area between the graph of f(x)=x+sin( Οx) and the x-axis on the interval
4 answers
asked by
Alice
4,233 views
find the area of the region bounded by the graphs of y=-x^2+5x+2 and y=2
5 answers
asked by
Dloc
2,475 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
1,073 views
Suppose that f has a continuous second derivative for all x, and that f(0)=1, f'(0)=2, and f''(0)=0.
A. Does f have an inflection
4 answers
asked by
maeil
942 views
A particle moves along the x axis so that its position at any time t>= 0 is given by x = arctan t
What is the limiting position
3 answers
asked by
Jen
2,879 views
The function g(x)=12x^2-sinx is the first derivative of f(x). If f(0)=-2, what is the value of f(2pi)?
a)30pi+2 b)8pi^2-2
4 answers
asked by
Jillian
1,794 views
The expression dy/dx = x*(cube root y) gives the slope at any point of the graph of the function f(x) where f(2) = 8.
A. Write
4 answers
asked by
ashley
1,809 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
879 views
Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function and the x-axis over
6 answers
asked by
Aravinda
2,119 views
Suppose the integral from 2 to 10 of g of x, dx equals 10 and the integral from 8 to 10 of g of x, dx equals negative 6, find
4 answers
asked by
bri
3,063 views
Find the derivative of
cos^2(4x)
4 answers
asked by
Amanda
7,302 views
Find the area under the graph of f(x) = e-ln(x) on the interval [1, 2].
6 answers
asked by
Rich boi
4,540 views
. A container in the shape of a right circular cone of height 10cm and base radius 1cm is
catching water from a tap leaking at
4 answers
asked by
tom
1,782 views
Consider a lake of constant volume 12200 km^3, which at time t contains an amount y(t) tons of pollutant evenly distributed
6 answers
asked by
Ashley
2,932 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
2,304 views
Given the position function, s of t equals negative t cubed divided by 3 plus 13 times t squared divided by 2 minus 30 times t,
4 answers
asked by
Mel
4,547 views
The Riemann sum, the limit as the maximum of delta x sub i goes to infinity of the summation from i equals 1 to n of f of the
5 answers
asked by
Mel
5,145 views
At any time t=>0 , in days, the rate of growth of a bacteria population is given by y' = ky, where y is the number of bacteria
4 answers
asked by
Rachel
3,121 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
3,350 views
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