25,270 Answered Questions for the topic calculus

Calculus

09/05/24

Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified lines.
X=y^2 , y=x/4 a)about the line x=-4b) about the line y=-4
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Calculus

09/05/24

Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
Y=8x^3 , y=0 , x =1 about x=6
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Calculus

09/05/24

Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
Y=1/36x^2 , x = 4, y=0 about the y-axis
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Calculus

09/05/24

Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified lines.
Y=3√x, y=3xa) about the y-axis b) about the line y=3
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Calculus

09/05/24

Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified lines.
Y=x^2/4 +3 , Y=3, x=8 a) about the line y=20b) about the line y=1
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09/04/24

Math- Story Problem
Hi, I am really struggling with this question, if anyone could help me solve it, I would appreciate it!!Janine is considering buying a water filter and a reusable water bottle rather than buying... more
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Calculus Math

09/04/24

math calc help please
integral x-3/x^2+1dx
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Calculus Math

09/04/24

math calc problem

integral 3dy / 2√y (1+y) thank you
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Calculus Math

09/04/24

math calc help please
integral dx / √x √x-1thank you
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Calculus

09/04/24

Calculus 2 homework
Evaluate the integral8xcos(3x)dx
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Calculus Math

09/04/24

math calc help please
i'm not sure how to approach these questions any help is appreciated! g(x)= arcsin3x/x g(x)=arccosx/x+1
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Calculus Math

09/04/24

math calc questions help
integral e^x sin^2(e^x)cos(e^x)dx if k(x) = x √(e^x-3), what is k'(x) i'm not sure how to approach these questions any help is appreciated!
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Calculus

09/02/24

Multivariable calculus

Surface Area of a ParaboloidCalculate the surface area of the portion of the paraboloid \( z = x^2 + y^2 \) that lies inside the cylinder \( x^2 + y^2 = 4 \).
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Calculus

08/30/24

Find the area of the region bounded by the three lines below. [Hint: You will have to split up the integral into two parts.]
y=4/3x, y=7x, y=-3/2x + 17/2
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Calculus

08/29/24

Find the area of the region
x = 4 − y2,  x = y2 − 4
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Calculus

08/28/24

Find the area between the given curves on the interval x = 0 to x = 25.
y=√x , y=1/2x
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Calculus

08/28/24

Find the area of the region.
y = 6 − 3x2,    y = 3x2,         −2 ≤ x ≤ 2
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Calculus

08/28/24

Find the area of the region(s) between the given curves below on the given interval.
y = 8 cos x,  y = 8 − 8 cos x from x = 0 to x = 𝜋.
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Calculus

08/28/24

Find the area of the region bounded by the three lines below. [Hint: You will have to split up the integral into two parts.]
y=4/3x, y=7x, y=3/2x +17/2
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Calculus

08/28/24

Find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (5, 25), and the x-axis.
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Calculus

08/28/24

Find the area of the region.
x = 4 − y2,  x = y2 − 4
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Calculus

08/28/24

Find the area of the region.
y = ex,  y = x2 − 1,  x = −1,  x = 1
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Calculus

08/28/24

Find the area of the region.
y = x2 − 2x,  y = 3x + 6
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Calculus

08/26/24

Approximation for Definite Integrals Question on a Table
Question: Let function f be continuous and decreasing, with values as shown in the table belowx: 2.5 3.2 3.5 4.0 4.6 5.2f(x): 7.6 5.2 4.5 4.0 2.6 1.6 (c) Find the average rate of... more
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Calculus

08/26/24

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, y = rad x, y = 0, x = 4, about x = 9
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