(3) Evaluate the line integral of the first type fez2 ds, where C: x = cost y = sint where 0 ≤ t ≤ 1. 1
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- Solve the problem with complete solution and draw the figure. Determine the ordinate of the centroid of the area bounded by the curve x2 = 8y and the line 2x – y = 0.find the revolution of the solid of revolution generated by revolving the region bounded by y=ln(x) x=e and the x axis about ther indicated axis a) x-axis b) x=etriple integral of 3xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded by the curves y = square root of x, y = 0, and x = 1
- y=x2-2x+1 and y= -x2+2x+7 Use washer method to find the volume of the solid whih is obtained by rotating the region R around y = -1.Since the R integration region is the region bounded by the hyperbolas x2 - y2 = 1, x2 - y2 = 9, xy = 4 and xy = 2 in the first region, with the help of u = xy and v = x2 - y2 transformation ∫∫R ( x2 + y2) dA What is the value of the integral?a) 0b) -7c) 7d) 8e) none