Question 2 1 pts Let A be the value of the triple integral SSS. (x³ y² z) dV where D is the region D bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0. Then the value of sin(3A) is -0.003 0.496 -0.408 -0.420 0.384 -0.162 0.367 0.364

Determine the integral f(z) dz around the clockwisely oriented triangle with the vertices ₁ = -1, 22 = 22i and 23 = 2i, Σπί (A) 9 2πi 3 (B) (C) 0. 2πi (D) 3 2πi (E) – 2Ti 9 7 where f(2)= 1 z(z - 3)²* Choose the correct answer.

3. Let be vertices (0, 0), (l,0) and (l, l). (a) Evaluate the integral 10² x³y dx - xy dy by direct calculation. Let C be the triangle with Hint: You will need to evaluate three different line integrals. A diagram will be useful! (b) Now evaluate the integral [a³y da - ry dy using Green's Theorem. (You should find this much easier!).

Solve 2