Write the integral used to evaluate the surface area when the given curve is rotated about the x-axis. y=Vx, 0sxs2

Q: Evaluate the integral by making an appropriate change of variables. I| 3 cos( 9 ( ) da where R is…

A: Given ∫∫R3cos9y-xy+xdAWhere R is the trapezoidal region with vertices 7,0, 9,0, 0,9, 0,7

Q: y'dy Evaluate the correct integral of Vy?+4

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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: Calculate the integral by making an appropriate variable change Vy – x -dA where R is the triangle…

A: Evaluate the integral ∫∫Ry-x31+y+x dA by making an appropriate variable change, where R is the…

Q: Evaluate the integral, AP where, E lies between spheres +y + z = 2 and a + y + = 3. for a 20

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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 an integral for the area of the surface generated by revolving the curve y = cos(4x) about the…

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Q: Use the Table of Integrals  toevaluate the integral

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Q: Approximate the integral to three decimal places using the indicated rule. c0.8 311 01 dx; Simpson's…

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Q: Evaluate the given integral by making an appropriate change of variables, where R is the trapezoidal…

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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: Set up an integral to find the area of the surface that is obtained by rotating the curve y = V4 –…

A: Here, y=4-x2, 0≤x≤1 is positive and has continuous derivative on 0≤x≤1. So, the surface area of…

Q: The area of the region outside the curve r=2+2cos0 and inside the curve r=3 is given by which…

A: Intersection points between two curves; r = 2 + 2 cos θ and r = 3 3 = 2 + 2 cos θ 1 = 2 cos θ cos θ…

Q: Evaluate the integral using FTC I.

A: Solve the integral ∫(4x-9x2)dx by using the general power rule of the integration that is…

Q: Evaluate the integral (by interpreting it as the area between two curves) 4 I Va +2 – a| 0 dx -

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Q: Evaluate the integral (+ 2) dz where C is the line segment from the origin to the point 1+ 2i.

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

A: Given:     y = √(64-x2)    -7 ≤ x ≤ 7

Q: 3) Write the integral that equals the area of the surface formed by rotating the curve x = 1 + 1s y…

A: Write the integral that equals the surface area of the given curve rotating about x-axis

Q: J6. [ycos² y dy y cos

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Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

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

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Q: Which of the following integrals will find the area of the surface generated by revolving the curve…

A: fx=x3 is a polynomial function. It is continuous in the interval 0,3.

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

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Q: Jend the integral T the Substetution y= 2 seeo

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Q: Which of the following integrals will find the area of the surface generated by revolving the curve…

A: If y=fx is a continuous function on the interval a, b then the area generated by rotating the curve…

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: In this question, we need to evaluate the integral by making a u-substitution and then integrating…

Q: Find the indicated trapezoid rule approximation to the following integral. 3

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Q: Evaluate the line integral - y² dx, where C is the square cut from the first quadrant by the lines x…

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Q: Set up an integral for the area of the surface generated by revolving the given curve about 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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Q: Evaluate the integral by using polar integral y x dx dy

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Q: 2y-ya Evaluate the integral 12 + y?dzdydr by using cylindirical coordinates.

A: Let z = z , x = r cos(theta) , y = r sin(theta).

Q: find the integral of the function fix, 41= (x²+y²)³ the region between the two circles of GV RV…

A: Given function is- f(x,y)=1(x2+y2)3 We need to determine the integral of the given function over the…

Q: 3) Write the integral that equals the area of the surface formed by rotating the curve x = 1+ 2y2, 1…

A: Recall: If the curve is given by x= g(y) ,c≤y≤d and rotated about the x-axis , then the area of the…

Q: Which ONE of the following integrals correctly represents the area of the surface of revolution…

A: giveny=ln(x5)rotation about x-axisA=∫152πyds

Q: Set up, but do not evaluate, an integral for the length of the curve. xex⁹ Jo y = 0≤x≤5 dx

A: Given,  y=xex9, 0≤x≤5

Q: Use MATLAB to PLOT and CALCULATE the following integrals. Label the x and y axes of the plot. -1…

A: We have to use MATLAB to PLOT and CALCULATE the following integrals.

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

A: Given curve is where

Q: 3(sin y- cos y) chy cos y

A: First we use (siny - cosy) 2 =sin2 y + cos2 y -2sinycosy Then using u substitution let u =sexy +…

Q: Set up, but do not evaluate, an integral for the length of the curve. y = x – 9 In(x), 1sxs 4 dx

A: The integral for the length of the curve is  L=∫ab1+dydx2dx

Q: 6. Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Evaluate the integral by making an appropriate change of variables. 7 Cos (3 (V=X)) d y + x 637 6…

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Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

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Q: Evaluate the integral by making an appropriate change of variables. 5(x + y) ex² - y² dA, where R is…

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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: et dx Ve²x+49

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Q: y dy (y–1)*

A: We will solve the following.

Q: I don't know how to set this problem up and can you explain step by step please no rush I just want…

A: The given curve is: y=4-x2, 0≤x≤3