Evaluate the following: 12! + 10!
10. (10 marks) Evaluate and simplify the following expression: (((12 + k) mod (2 + k)) - ((12+ k) div (2 + k))). Answer:
Question 4 Evaluate()+() O 12 10 Question 5
Question 12 10 pts (10) Evaluate fc F.d7, where F =< y- cosy, asiny > and the closed curve C is the quarter-circle given by x2 + y2 = 9 from (0, 3) to (3,0), followed by the line segment from (3,0) to (0,0), followed by the line segment from (0,0) back to (0,3).
Problem 10. (1 point) Evaluate the integral. 12 V2x2 - 4 dx = 4x
Evaluate the following indefinite integral
2 +12 3.02 + 12.0 = d.
Evaluate the following limits using l'Hôpital's Rule 10. lim sinx-2 x 7x3 10. lime sinti? 11. lim (1-3)* 12. lime e2-1 + 2x 12. lim 24-+2x 0
5. (12 pts.) Evaluate the following triple integral where the region E lies above the cone 32+32 and below the sphere +y2
5. (12 pts.) Evaluate the following triple integral where the region E lies above the cone 32+32 and below the sphere +y2
26 SS(5x – 12 + 4y? )dy dx Evaluate the following iterated integral:
9. (12 pts) Evaluate the following definite and indefinite integrals: (a) 12 dt d dx 1* 2 t Hint: Apply Part 1 of the Fundamental Theorem of Calculus and the Chain Rule. (b) /6 sin 20 de (sin2 @ + 2)2 -
4x+12 (10 marks) Evaluate the integral. Use the proper notation with limits. S -da (x2+4)(x+5)