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Calculus
Page 3
Questions (17,686)
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
2,660 views
Use the graph of f(t) = 2t − 5 on the interval [−2, 10] to write the function F(x), where f of x equals the integral from 1
5 answers
asked by
Jaden
3,214 views
Verify the given linear approximation at
a = 0. Then determine the values of x for which the linear approximation is accurate to
5 answers
asked by
jedidiah
6,698 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
9,269 views
a)
Find a Cartesian equation relating and corresponding to the parametric equations: x=2sin(3t), y=9cos(3t). Write your answer in
5 answers
asked by
Allison
5,067 views
I'm a little confused with this integration problem: If the definite integral from 0 to 2 of (e^(x^2)) is first approximated by
7 answers
asked by
Rasheda
4,909 views
If dy/dx = x cos x^2 and y = −3 when x = 0, when x = pi, y = .
A. −3.215 B. sqrt(2) C. 1.647 D. 6 E. 3pi All of the potential
5 answers
asked by
ANONYMOUS
2,113 views
Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the
4 answers
asked by
Alice
3,727 views
1. Consider the curve y = f(x) = 2^x - 1.
A. Find the exact area of the region in the first quadrant bounded by the curves y =
7 answers
asked by
KingS.
1,690 views
Find an equation of the tangent line to the graph of x^2+3y^2=4 at the point (1,1)
A. y+1=-1/3(x+1) B. y-1=-x/3y(x-1) C. x+3y=2
4 answers
asked by
Anonymous
1,953 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
802 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
943 views
The position function of a particle in rectilinear motion is given by s(t) = 2t^3 – 21t^2 + 60t + 3 for t ≥ 0. Find the
4 answers
asked by
Mel
3,796 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
2,895 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
179 views
Given f left parenthesis x right parenthesis 4 x squared plus 2 minus 9, what is f prime left parenthesis a right parenthesis?
(1
1 answer
asked anonymously
32 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
3,072 views
Find the area under the graph of f(x) = e-ln(x) on the interval [1, 2].
6 answers
asked by
Rich boi
4,544 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
8,602 views
What is the limit of g(x)=x as x approaches pi?
Would it just be pi??
6 answers
asked by
Ray
6,869 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
2,941 views
he rate of change of y with respect to t is 3 times the value of the quantity 2
less than y. Find an equation for y, given that y
7 answers
asked by
anonymus
1,201 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
10,813 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
5,149 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
3,360 views
Evaluate the triple integral ∭ExdV
where E is the solid bounded by the paraboloid x=4y2+4z2 and x=4 .
2 answers
asked by
val
66 views
For x≠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
4,436 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
13,975 views
The slope of a curve is equal to y divided by 4 more than x2 at any point (x, y) on the curve.
A. Find a differential equation
5 answers
asked by
axolotl
1,272 views
Find the 999th derivative of cos x.
I got sin x.
4 answers
asked by
Dave
6,457 views
the height, in metres, of a nail in a water wheel above the surface of the water , as a function of time, can be modelled by the
4 answers
asked by
...
6,525 views
What is the maximum value of the function y= 18/x^2-9 over the interval -3<x<3?
A. 0 B. 2 C. -2 D. Infinity
4 answers
asked by
Katherine
1,055 views
Find constants a and b in the function ax^b/ln(x) such that f(1/5)=1 and there is a local min at x=1/5
4 answers
asked by
Tanner
11,864 views
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the
6 answers
asked by
mike
22,682 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
17,668 views
The cost of producing x units of a certain commodity is C(x)=1000+5.70x+0.7x^2 . What is the average rate of change of C with
5 answers
asked by
Pax
5,929 views
Let R be the region enclosed by the graphs y=e^x, y=x^3, and the y axis.
A.) find R B.) find the volume of the solid with base on
4 answers
asked by
Michelle
5,088 views
find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps
4 answers
asked by
Linda
1,256 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
1,519 views
What is the x-coordinate of the point on the curve y=e^x that is closest to the orgin?
4 answers
asked by
MEG
1,832 views
Use two rectangles of equal width to estimate the area between the graph of f(x)=x+sin( πx) and the x-axis on the interval
4 answers
asked by
Alice
4,238 views
Identify the coordinates of any local extrema of the function y=e^x - e^(2x).
4 answers
asked by
Abigail
3,515 views
Find the range of the function F(x)=integral from 0 to x of √(4-t^2) dt
a) [0,4π] b) [0,π] c) [-4,0] d) [0,4]
5 answers
asked by
Alice
5,754 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
1,702 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
1,080 views
Evaluate, in spherical coordinates, the triple integral of f(rho,theta,phi)=cos (phi) , over the region 3<rho<7, 0<theta<2pi,
5 answers
asked by
Mackenzie
2,987 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
7,718 views
x = t − 2 sin t, y = 1 − 2 cos t, 0 ≤ t ≤ 6π
Set up an integral that represents the length of the curve.
4 answers
asked by
Zoey
4,575 views
An airplane flying west at 300 miles per hour goes over the control tower at noon, and a second airplane at the same altitude,
4 answers
asked by
becca
1,417 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
1,800 views
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