Q1 (9 points) Calculate the triple integral SSSE x³ y² z dV where E is the region bounded by z — y = 1, = z+y=1, z= 0, x = 0, and x = 1.

The area D is the area in the XY-plane bounded by the X-axis, Y-axis, and the 4x + line5y = 0. Determine the maximum and minimum values f (x, y) = 2x2 + 2y2 - 4x - 2y + 3 in the region

Let R be the region bounded by the curves y² = 2² +1 and y² = r² - 1 and the lines y=1-r and y = 5-2. Evaluate the integral ff(x-1)(-+) dA using a change of variable. Include sketches of both the original region R and the transformed region S in your solution.

Q.1A) Express integral / y + x 4x-2y) =0, x= 1 and y=0,y-1-xto T. of u= - (²x + ²x) a 2 dydx in terms of (u)and (v) given that: Region bounded R: x and v- - (²x - 4x)