Match the following integrals with the solid whose volume it represents. 36 T/2 Α. π cos (x) dx В. п y dy 1 С. п (y4 – 38) dy T/2 7 [(1 + cos(x))² – 1°] dæ D. T 1. The volume of the solid obtained by rotating the region described by 0 < x < T/2, 0 < y< cos(x), about the line 2. The volume of the solid obtained by rotating the region described by 0 < x < T/2, 0 < y< cos(x), about the x-axis. 3. The volume of the solid obtained by rotating the region described by 4 0

Q: Given If G is the solid bounded byz =6-y, z=y-10 and y=x2 where dV = dzdydr. Find the lower and…

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Q: 1. Evaluate the given integral Q. Q ГСГ (2x − 2) dz dy dx 3x 0 2. Give the (upper, lower, lateral)…

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: volume using shell method

Q: Consider the following. x 8V sin(y). osysn, x = 0; about y = 4 (a) Set up an integral for the volume…

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Q: 2. Consider the following graph of x = F(y) and x = G(y). 2- The orange curve is F and the purple…

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Q: m #12: Find an integral which represents the volume of the solid obtained by rotating the region…

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Q: Consider the following. y = 9 cos“(x), y= -9 cos“(x), -x/2 s x sa/2; about x = R (a) Set up an…

A: Given that,

Q: problem in photo attached

A: First we graph the curves to find the region.

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

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Q: Consider the following. y = 9 cos (x), y = -9 cos*(x), - sx about x = TT (a) Set up an integral for…

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Q: hich of the following integral will give the volume of a solid generated when the area bounded by 4,…

A: Topic:- application of integration

Q: problem in photo attached

A: First graph the curves. We have to rotate that shaded region about x=-10.

Q: An object is created by rotating the region in the 5. interval [0, 7] between the curve y = 4 + sin…

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Q: Q1)A-Evaluate the following integrals: 1) S (cos x / sin? x) dx. 2) S (2x+4)3 dx, use x=0 to x=2. 3)…

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Q: Consider the following. y = 4 cos“(x), y = -4 cos4(x), -T/2 < x sT/2; about x = TI (a) Set up an…

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Q: Evaluate the following integrals. 1 (a) dz dy dx. e (b) TI Vx2 + y2 dV, where E is the solid in R3…

A: we have to find the integrals 1) ∫01∫01∫y1e-z2dzdydx 2) ∫∫∫Ex2+y2dV,where E is solid bounded…

Q: a) To find the integral (1/4∫0)dy(1/2∫√y e^x/x)dx, change the bounds of the integral and calculate.…

A: The bounds on the variables is given as:

Q: 1. Evaluate the given integral Q. -L LL²³ . = (2x − z) dz dy dx Зг 2. Give the (upper, lower,…

A: Solution

Q: -1-y 2. The triple integral S, S2 S, dz dy dx gives the volume of the region shown below.

A: To determine the value of the triple integral.

Q: b. The triple integral in Cartesian coordinates JIT »z dv that gives the value of FIRST octant…

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Q: The graph of y= f(x) between the lines x = a and x = b is rotated around the line y figure (where K…

A: The graph of y = f(x) between the lines x = a and x = b is rotated around the line y = 2 to form a…

Q: *** The definite integral representing the volume of solid generated when the area in the first…

A: Topic  =Application of integration Correct option = B

Q: 3. Note. The following integral formulas may be useful for this question: i) | In(x) da = x ln(x) –…

A: We have to find the volume of given region.

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A: Given:∫0ππ2-sinx2dx

Q: The region between the lines x = a and a = b, and the graphs of y = f(x) and y = g(x) is rotated…

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Q: Which of the following integrals will determine the volume of the solid generated by revolving the…

A: y=3x,  x=16  &amp;  y=0

Q: Cos (9y)+6 Let R be the region bounded to the right by the graph of x to the left by the y-axis, and…

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Q: Consider the following. x = 6V sin(y), Osysn, x = 0; about y = 4 (a) Set up an integral for the…

A: Given:

Q: problem in photo attached

A: Given that a solid is obtained by rotating the region bounded by the curves.

Q: problem in photo attached

A: The given curves are,

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Draw the diagram and use the washer method of finding volume of rotation.

Q: Which integral below gives the volume of the solid of revolution obtained by rotating the bounded…

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Q: The graph above shows how the x-axis, the y-axis, the line y = -x + 3 and the curve %3D y = 2 sin x…

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Q: valuate the following integral in cylindrical coordinates. 5 vz V4-x [ [ e-*- dy dx dz 0 0 x

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Q: Match the following integrals with the solid whose volume it represents. 3 А. 2т dx В. 2п dy 1+ y? 1…

A: Here we have to match the integrals with the solid whose volume it represents.

Q: The region between the graph f(x) = Vĩ and the x-axis for x E [0, 4] is revolved about the line y =…

A: We know that volume by washer method

Q: If k € R+, which of the following expressions or triple integrals is NOT equal to the volume of a…

A: Option b is not true

Q: Consider the following. X = 9V sin(y), 0sysn, x = 0; about y = 4 (a) Set up an integral for the…

A: part a) We will use shell method to calculate the volume of the solid obtained. x = 9sin(y) , 0≤y≤π…

Q: I Evaluate the following integrals : 1.|| ydx dy [[(6x* +9y°)dx dy 2. 1-x 1-X-y 3. zdz dy dx

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: 7) Sketch the region of integration and evaluate the following integrals, using the method of your…

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Q: Consider the following curve. y = x3, osx s 5 Set up an integral in terms of x that can be used to…

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

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Q: Which of the following gives the volume of the solid E that lies within the cylinder x2 +y? = 1,…

A: Given that  E lies with in the cylinder x^2+y^2=1 Z=1-y and below z=3

Q: Consider the curves y = x" + 1, y = 2, and a = 0. Set up the integrals for the following. The volume…

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