
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y =...
17.3 Evaluate the following integral: SSR cosh(x + y)dA where R is the region bounded by x > 0, y = 0 and the line x + 2y = 2.
х Evaluate SS arctan arctandA, where the region bounded by x2 + y 21, x² + y2 <4 and O sysx. Select one: a. 16 b. 3л 16 c. 37 8 377 64 3712 32 e
Question 3 Evaluate Sſezx=3> 22x+3y dĀ where R is the region bounded by x = 0, y = 0 and x + y =1. (10 marks) R
Evaluate // e-(x+vº)dA where D = {(x,y): x2 + y2 <1,1 20, y 2 0}.
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region 1 5x2 + y2 549. 1.080
show all work please
(5 pts) Find the area of the region bounded by the graphs of y + 2 and y = [ +1,0 < x < 2. 2 Sketch the region.
using this formula
2. Evaluate the surface integral F. dS, where F(x, y, z) = xi+yj+zk is taken over the paraboloid z=1 – x2 - y2, z > 0. SA errom bove de SS (-P (- Puerto Q + R) dA dy
1. Evaluate S SR(5 – y)dA with R= {(x, y)|0 SX 55,0 Sy < 4} by identifying it as the volume of a solid and then calculating the volume geometrically.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
3. Draw the region D and evaluate the double integral using polar coordinates. dA, D= {(x, y)| x2 + y² <1, x +y > 1} (b) sin(x2 + y2)dA, D is in the third quadrant enclosed by D r? + y2 = 7, x² + y2 = 24, y = 1, y = V3r.