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Calculus
Page 7
Questions (17,686)
Find
dy/dt at x = 1 and y = x2 + 3 if dx/dt = 4 I'm not sure how to set up this type of equation. Do you use the pythagorem
4 answers
asked by
David
4,731 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
1,460 views
Graph the curve. Find the exact length of the curve.
x = 2et cos(t), y = 2et sin(t), 0 ≤ t ≤ π
4 answers
asked by
Kaitlyn
8,372 views
At what value(s) of x on the curve y=−8+90x^3−3x^5 does the tangent line have the largest slope?
4 answers
asked by
Web9
1,938 views
Given that the antiderivative of f(x) = e4x is F(x) = 1/4e^4x+C, evaluate the integral from 0 to 2 of e^4x, dx.
e^8 1/4(1-e^8)
4 answers
asked by
Jess
2,940 views
f is a continuous function with a domain [−3, 9] such that
f(x)= 3 , -3 ≤ x < 0 -x+3 , 0 ≤ x ≤ 6 -3 , 6 < x ≤ 9 and let
5 answers
asked by
Skyler
6,528 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
2,414 views
Use two rectangles of equal width to estimate the area between the graph of f(x) = x - cos(πx) and the x-axis on the interval
5 answers
asked by
Alice
3,229 views
an equivalent representation of the definite integral of 3 to 1 2xcos(x^2)dx is
4 answers
asked by
illy
1,536 views
Let f be a function with second derivative given by f''(x)=sin(2x)-cos(4x). How many points of inflection does the graph of f
5 answers
asked by
Mike
2,594 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
3,822 views
The base of a triangle is decreasing at the rate of 2 cm/ min and the height is increasing at the rate of
1cm/ min. Find the rate
4 answers
asked by
Muhammad
1,509 views
Find
y'' by implicit differentiation. 3x3 + 4y3 = 1
4 answers
asked by
Anonymous
6,713 views
The function f is continuous on the closed interval [0,6] and has values that are given in the table below.
x |0|2|4|6
4 answers
asked by
Kristin
6,794 views
A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its
4 answers
asked by
Alice
5,526 views
determine the point(s)at which the graph of y^4 = y^2 -x^2 has a horizontal tangent.
7 answers
asked by
Ashley
1,273 views
Find the equation of a line tangent to the curve xy = (suqareroot^xy -x) + 1 at the point (1, 2).
A. y= 2-x B. y = 5-3x C. y =
7 answers
asked by
John
651 views
A snowball is melting at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the
4 answers
asked by
Thomas
4,259 views
Which interval gives an average change of 0 for the function y = 3cos (4πx + π) - 3?
a) π/3 <= x <= π/2 b) π/4 <= x <= π/2
5 answers
asked by
Craig
1,223 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
2,036 views
Suppose the total cost, C(q), of producing a quantity q of a product is
given by the equation C(q) = 5000 + 5q The average cost
4 answers
asked by
kyle
1,288 views
The velocity function is v(t) = - t^2 + 4 t - 3 for a particle moving along a line. Find the displacement and the distance
4 answers
asked by
Anonymous
2,434 views
consider the differential equation dy/dx= (y - 1)/ x squared where x not = 0
a) find the particular solution y= f(x) to the
4 answers
asked by
sammy
5,237 views
Find the area of the shaded region below.
x=(y^2)-2 x=e^y y=1 y=-1 I was doing a horizontal split so I had the integral from -1
3 answers
asked by
Angela
1,870 views
find the dy/dx of s(t)= (4/3pi)sin3t+(4/5pi)cos5t
4 answers
asked by
Millie
2,724 views
If the integral of (x^2 - 2x + 2)dx from 0 to 6 is approximated by three inscribed rectangles of equal width on the x-axis, then
4 answers
asked by
Erica
1,041 views
a) Describe a graph for which the average rate of change is equal to instantaneous rate of change for its entire domain.
4 answers
asked by
Shaila
3,443 views
Find the position function s(t) from the given acceleration function and initial values
a (t) = 10-3t^2 ; if v(0) = 3 and s(0) =2
4 answers
asked by
Abdullah
1,327 views
Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.
4 answers
asked by
John
1,986 views
If a figure shows a function g(x) and its tangent line at the point B=(2,6.8). If the point A on the tangent line is
4 answers
asked by
Cecille
1,315 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
758 views
Consider a spherical tank of radius 4 m that is filling with water. Let V be the volume of water in the tank (in cubic meters)
4 answers
asked by
Clueless
1,960 views
find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3
4 answers
asked by
linda
2,904 views
A. find y' by implicit differentiation.
B. solve th equation explicitly for y and differentiate to get y' in terms of x. cos (x)
4 answers
asked by
Sasha
1,641 views
Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows:
Let f(x)= x^(1/3) . The equation of the
4 answers
asked by
Salman
1,828 views
The slope of the tangent line to the parabola y=4x2–6x+6 at the point where x=5 is:
The equation of this tangent line can be
4 answers
asked by
leah
1,069 views
4. A certain computer algorithm used to solve very complicated differential equations uses an iterative method. That is, the
4 answers
asked by
Linda
756 views
Find the average value g-ave of the function g on the given interval.
g(x) = 6∛x [27, 125]
4 answers
asked by
Anonymous
2,101 views
Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values
4 answers
asked by
Anonymous
4,071 views
A rectangle is to be inscribed under the curve y=4cos(.5x). The rectangle is to be inscribed from x=0 to x=pi. Find the
4 answers
asked by
Will
2,363 views
Which of the following are antiderivatives of f(x)=sinxcosx?
I f(x)=(sin^2* x)/2 II f(x)=(cos^2* x)/2 III f(x)=-cos(2x)/4
4 answers
asked by
Tiffany
4,545 views
Find the area of the region bounded by the graphs of y = 2 − x2 and y = −x.Find the area of the region bounded by the graphs
4 answers
asked by
nan
3,298 views
The function is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the time
3 answers
asked by
allie
1,001 views
Water is draining from a swimming pool in such a way that the remaining volume of water after t minutes is V = 200(50 - t)^2
5 answers
asked by
anonymous
1,545 views
The position at time t of an insect crawling along the x-axis is given by x(t) = t^3 - 3t^2 - 9t + 4. What is the maximum
4 answers
asked by
Anonymous
1,179 views
Which of the following integrals cannot be evaluated using a simple substitution?
the integral of 1 divided by the quantity x
4 answers
asked by
Tiff
3,359 views
Show that the series cos(n) from n=1 to infinity is divergent.
4 answers
asked by
Alanna
2,009 views
Suppose
g(x) = { 1 / (x-2) if x < 1 2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the function
4 answers
asked by
Mishaka
1,374 views
A curve has implicit equation x^2-2xy+4y^2=12
a)find the expression for dy/dx in terms of y and x. hence determine the
4 answers
asked by
Matteo
3,936 views
The wind chill is the temperature, in degrees Fahrenheit, a human feels based on the air temperature, in degrees Fahrenheit, and
4 answers
asked by
Leannna
3,088 views
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