Write an integral that represents the area of the surface generated by revolving the curve about the x-axis. Use a graphing utility to approximate the integral. Parametric Equations x = cos2 θ, y = cos θ Interval 0 ≤ θ ≤ π/2

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: csc h5B- coth 5B

A: ∫cschax dx =-1acoth (ax) +C ∫csch (x) .coth (x) dx = -csch(x) +C

Q: Find the area inside the curve r = a(1+sin theta) and outside the curve (r =a sin theta). 6:01 PM

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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A: the given curve,   x=13y y-3 where 1≤y≤2

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Q: Set up, but do not evaluate, an integral for the length of the curve, L. (Use pi for π.)y = cos(x)…

A: The length of curve is given by the formula:

Q: Set-up (but do not evaluate) the integral that you could use to calculate the arc length of the…

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

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Q: a. Write and simplify the integral that gives the arc length of the following curve on the given…

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Q: Compute the surface area of the surface generated by revolving one arch of the cycloid c(t) = (4 (t…

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Q: An integral that gives the arc length is JO (Type exact answers.) dx.

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Given that:-y=81-x2 ,      -8≤x≤8To find : Surface area of revolution about the…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Given: y=36-x2, -5≤x≤5

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A: We have given a function y=3cos 2x on the interval -π2,π. The main objective is to obtain the…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Evaluate the integral using an appropriate trigonometric substitution.

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: 2/ Math

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Q: x? V1-x2 dx Use trigonometric substitution

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Q: us Set up, but do not evaluate the integral to find the arc length of the curve x = sin t, y = t -…

A: NOTE: As per our answering guidelines, we can only answer 1 question or 3 sub-parts per question.…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

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Q: 2. Use the disk method to find the volume of the solid obtained by rotating the shaded region about…

A: We will solve the problem

Q: 22. Find the area enclosed by the curve r = v6(1 – sine). A. 7 T sq. units C. 9 n sq. units B. 8 n…

A: The detailed solution of the problem is given in the next step.

Q: Evaluale the integral SVISO +25x² dx USing trigonometric substitutron.

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Q: Use a familiar formula from geometry to find the area of the region described and then confirm using…

A: Let us convert the polar equation to cartesian equation So it is a circle with

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: aluate the do

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Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Using polar coordinates, evaluate the integral ff.sin( sin(x² + y²)dA where R is the region 16 ≤ x²…

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Q: Using iterated integrals, find the smaller area cut form the circle x² + y2 = 16 and the line y =-1.

A: to find the area we consider th strip parallel to y axis  and desctribed the region as below

Q: Find

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Q: Calculate the area of the circle r = 4 sin θ as an integral in polar coordinates (see Figure 4). Be…

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Q: Use a familiar formula from geometry to find the area of the region described and then confirm using…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

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Q: Use a double integral to find the exact area inside the 4-petal rose r = 6sin(20) and outside the…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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