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Calculus
Page 3
Questions (17,656)
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
4,418 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
2,644 views
Find the 999th derivative of cos x.
I got sin x.
4 answers
asked by
Dave
6,445 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
11,857 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
17,658 views
can you please help me solve this problem if dy/dx=ycosx and y=3 when x=0, then y=
4 answers
asked by
christine
5,071 views
Find the absolute value of the resulting error if the value of integral from 0 to 3 (x^3 dx) is estimated with 3 trapezoids of
12 answers
asked by
Alice
4,496 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
2,800 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
3,716 views
The function f is continuous on the interval [3, 13] with selected values of x and f(x) given in the table below. Use the data
5 answers
asked by
Jim
6,450 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
4,885 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
5,745 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
939 views
The area enclosed by the loop of the curve 𝑦
2 = 𝑥(1 − 𝑥)2is revolved about the y-axis. Find the volume generated.
4 answers
asked by
Anonymous
755 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
3,787 views
si n es un numero entero positivo y f(x) = x^n, de acuerdo a la regla de diferenciacion para potencias con exponentes enteros
1 answer
asked by
pedro
50 views
Find the Laplace transform of:
f(t) = cos^(2)(2t)
5 answers
asked by
Elyse
8,957 views
Remember that f(x) must be one-to-one (only one y-value for each x-value) over the domain where f –1(x)is defined as a
5 answers
asked by
Thomas
1,723 views
The rate at which water flows into a tank, in gallons per hour, is given by a differentiable, increasing function R of time t.
4 answers
asked by
Kailey
3,169 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
7,450 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
1,187 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
10,805 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
3,345 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
934 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
4,655 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
1,204 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
2,686 views
Find
dy/dx and d2y/dx2. x = et, y = te−t
5 answers
asked by
sara
19,815 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
13,957 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
4,930 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
5,444 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
2,822 views
Suppose that y=f(x) = sqrt(2x), x>=0
Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as
5 answers
asked by
Thomas
3,335 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
1,452 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
4,231 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
2,469 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
2,871 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
1,787 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
1,805 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
899 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
2,114 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
3,055 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
1,458 views
Find the area under the graph of f(x) = e-ln(x) on the interval [1, 2].
6 answers
asked by
Rich boi
4,536 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
1,777 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
2,928 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
2,300 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
5,137 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
2,481 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
3,117 views
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