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Find a ⋅ b. a = 9i – 6j, b = 5i + 5j (5 points)  

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 137°, c = 6, b = 11 (5 points)

Evaluate the expression. r = , v = , w = v ⋅ w (5 points)

Given that P = (7, 16) and Q = (-1, 7), find the component form and magnitude of . (5 points)

Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer. (5 points)

Find the derivative of f(x) = at x = -4. (6 points)

Find the derivative of f(x) = 11×2 + 5x at x = 9. (6 points)

Find the fifth roots of 243(cos 300° + i sin 300°). (5 points)

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (8 points)    

Please list two different resistance exercises using two different training techniques that work the same major muscle group of the body.    Be sure to note which exercise uses which technique.  Be sure to note which muscle group you are focused on.