Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y 12 y = 12 sin(4x²) 11 10 9 8 7 A 6 5 4 3 2 1 X Sketch the solid. LE|N

Q: z-1 Sc dz, E C ez -3z

A: ez=1+z+z22!+z33!+---+znn! Cauchy integral test ∫Cfzdz=2πilimz→z0fz0 if zeros lies in C. ∫Cfzdz=0 if…

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Q: Let D₁ and D₂ be the regions in the picture below. Y x² + y² = 25 4 D₁ D2 x² (a) Consider a change…

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Q: Express the region D = {(x, y)|3x² + 3y² ≤ 45} in polar coordinates.

A: D=x,y|3x2+3y2≤45

Q: Question 2. Let E be the solid region inside the surface x² + y² + z²: = 25 and above the surface z…

A: Let E be the solid region inside the surface x2+y2+z2=25 and above the surface z=3x2+3y2. (a) To…

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Q: Let R be the part of the xy-plane for which x+ 2xy + 2y? < 4. Use the change of variables x = 2s –…

A: We have to find the area. Where R be the part of the xy-plane for which x2+2xy+2y2≤4. By using the…

Q: The region is D: x 2 0, y > 0, x² + y² < 4. Choose the sketch of the region. 4 D -4 D 4 O y 2 D 2 D…

A: The region D :x≥0,y≥0,x2+y2≤4the region is

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Q: Use the given equations x2 = 1, x = au, y = bv 62 to find the volume of each dome-shaped solid lying…

A: Given the equation x2a2+y2b2=1, x=au, y=bv and  a fx,y=16-x2-y2     R:x216+y24≤1b…

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A: Given x=ln t and y=et

Q: Find the the surface area of of the indicated surface The portion z = x² + 2y between y=x, y = 0,…

A: Given that Now,

Q: Identify the surface whose equation is given. p = sin(8) sin(4) O a sphere of radius - centered at…

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