5. Evaluate z dV where E is the region bounded below by r2 +y² + z² = 4 and above %3D by r² + y² + z² = 9

Q: Evaluate Sf xydA, where D is the region bounded by y = x - 1 and y² = 2x + 6

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Q: Sketch the region corresponding to the statement P(z<c)=0.2P(z<c)=0.2

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Q: x=y² - 4y and x=2y-y². (-3,3) -4 -3.5 -3 x=y² - 4y -2.5 -2 X= = 2y-y² -1.5 -0.5 2.5 1.5 1 0.5

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Q: Let B be the region bounded by = π/2 and = π/4. Calculate [[[ 2²0 x² dv.

A: Given,Let B be the region bounded by  and we have to calculate

Q: 4. Computer²ydA, where R is the region bounded by the circles z² + y² = 1 and 2² - 2x + y² = 0 and…

A: Solution :-

Q: 34. Evaluate || (x2 + y²) d A, where R is the region in the first R quadrant bounded by y = 0, y =…

A: Draw the region, R as follows: The region, R can be divided into two regions, R1 and R2 as shown.…

Q: 2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the…

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Q: Evaluate cxy)dA av)d4 over the region R bounded by y = 2r, y=x+1 and x = 3. (3, 6) 5.5+ y-2x 4.5+…

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Q: Let D be the lower half of the region bounded by x2 +y2 4 and x2 +y? = 9. Sketch the region D and…

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Q: . Find a number k > 0 such that the area of the region bounded by the curves y = x², and y =k – x2…

A: As per as our guide line I am supposed to answer only one question from these 2 question Please…

Q: III. Find the region bounded by the graphs of the following function using the shell method 1. y =…

A: Since you have posted multiple questions, we solve the first problem for you. if you want any…

Q: dV, where E is the region between z + y² + z2 = 1 and z2 + y2 + =2 = 2, and above Evaluate z? + y? =…

A: Given ∭E1zdV. Also given the region lies between x2+y2+z2=1 and x2+y2+z2=2, and above x2+y2=z2. The…

Q: 7 Find the area of the region bounded by the a graphs of f(x) = x+ 2x+1 and gix) = 3x+3. Write…

A: The given curves are: f(x)=x2+2x+1          and          g(x)=3x+3

Q: 9. a) Find the area of the region bounded by the y = Vx and y = x 1 graphs of (set both equal and…

A: To find the area of the region bounded by the curve and a line , find the intersection of both and…

Q: = x? and r+ 3y = 6, If R is the region in the first quadrant bounded by r-axis, y evaluate 1. x dA.…

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Q: 22. Calculate ydv, where W is the region above z = x² + y² and below z = 5, and bounded by y = 0 and…

A: Given integral is ∫∫∫Wy dv Where 'W' is a region lies above z=x2+y2and below z=5 and bounded by y=0,…

Q: 22 Evaluate f, e-(x²+y?) dx dy, where R is the region x? + y? < a?.

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Q: 4. Find the area of the region bounded by the graphs of f(x) = x3 + x²-6x and g(x)=2x-x2 A. 20 C. 3…

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Q: 6. Let a > 0 and let R be the region under the graph of f(x) '9 – ax and in the first quadrant. Find…

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Q: 2. The shaded region, enclosed by the graphs of x = and y = 8- 4x is shown in the figure below. 1.1…

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Q: Caleulate the region between Y4= x°-x ond %3D

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Q: 1. y² 2x and y = x-4 18 sq. units

A: Note:-Since you asked multiple questions, according to question we can solve only first question for…