Let D = (a) § D. ds (b) , V. Ddv over the region defined by 0 ≤ p ≤ 5, -1 ≤z ≤ 1,0 < < 2. 2pz²a + p cos² þa₂. Evaluate

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: 10. Identify the surface that is given by: p (sin? (6) cos (0) + cos ()) = 4

A: (10) Consider the given expression as shown below:

Q: la) Find the area of resion between two functions.

A:

Q: Let M and m be the maximum and minimum values of Ax, y) = 5x + 4y on the region x +y < 49 . Then…

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Q: : List the vertices in R' of the convex region defined by Ax < b and x 0 where 2. A = 1 and b = 8. 1…

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Q: c) Show that the image of the annulus {z: 1 -1, 1 W - 1²/31 | > 1/2/3

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Q: Sketch the region given by the set. {(x,y) | xy &gt; 0}

A: Given: To Sketch the region given by the set{(x,y)|xy&gt;0}

Q: io Z = re r>00< OLLIT Let fiz). VF : { e Show that fiz is analytic in the region. and find fizi.

A: Let f(z)=u(r,θ)+iv(r,θ) be a complex valued complex variable function.Then the Cauchy Riemann…

Q: If R is the region in the first quadrant between the circles r = 1 and r = 2, and if f is continuous…

A: Given R is the region in the first quadrant between the circles of radii r=1 and r=2, centered at…

Q: 3x + 4y = 8, 4y - 3x = 8, 4y - x² = 1. Sketch of the region D and describe its symmetry. Find the…

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