Question 12 Evaluate: lim, -70+ 6 cot 2 3+CcE 16 2 - 1 8 DA Sc
(1 point) Math 215 Homework homework7, Problem 2 Evaluate the integral Se *v5x? + 5y da JJR where the region R is given by the figure with a = 5 and c = 4. (Assume the curved boundary of the figure is circular with center at the origin.) SUR À V5x2 + 5y2 dA =
Evaluate the integral by making an appropriate change of variables. SE 3 sin(49x2 + 4y2) da, where R is the region in the first quadrant bounded by the ellipse 49x2 + 4y2 = 1
31 (3) Use € - to prove that lim 222 - 1 = 3.
Evaluate 1 da 1 da
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)
1. (8) Evaluate the following limits: (a) lim«;? () lim (6:1)".
• Question 8 Evaluate the limit: lim h 0 (3 + h)2 – 9 h • Question 9 α Evaluate the limit: lim 1 +9 15x + 54 2 - 9
1) Evaluate each limit (3 marks each) a) lim *vib) lim C) lim d) lim (1210-6
Question 5 4 pts Evaluate lim (csc(z) - )