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State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28 (5 points)

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)