Question: Calculate the double integrals Question 4. Calculate the double integrals. a) forcosydA, R is bounded by {y = 0}, {y = x } and {x

Calculate the double integrals Question 4. Calculate the double integrals. a)

Calculate the double integrals

Question 4. Calculate the double integrals. a) forcosydA, R is bounded by {y = 0}, {y = x } and {x = 1}. b) JRx2 + 2ydA, R is bounded by {y = x}, {y = 23} and {= > 0}. c) RaydA, R in the first quadrant bounded by the circle {a + ? = 1}. Question 5. Find the volume of the region enclosed by the paraboloid { z = x2 + y + 1} and the planes {z = 0}, {y =0}, {= =0}, and {x + y = 2}. Question 6. Use polar coordinates to evaluate the double integrals. a) JerrydA, R is the top half of the disk with center the origin and radius 5. b) J2x - ydA, R is the region in the first quadrant enclosed by the circle { + y? =4} and the lines {x =0} and {y = x}. c) JRsin(z2 + y' )dA, R is the region in the first quadrant between the circles with center the origin and radii 1 and 3

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