Question 2: If

is equal to:

Question 3: A curve is described by the parametric equations

Question 4: Write an equation in terms of x and y of the line tangent to the graph of the polar curve

Question 6: Consider the closed curve in the

Question 7: The function given by:

is differentiable at x = 1. What is the value of f(b-a)?

Question 8: If the average of the function on the [-1,1] interval is 5/8, what are the values of

Question 10: The base of a solid is the region in the first quadrant bounded by the graph of y = -x

Question 11: The graphs of the polar curves r = 1 and r = 1 + cos(θ) are shown in the figure below. If R is the region that is inside the graph of r = 1 and outside of the graph of r = 1 + cos(θ), the area of R is:

Question 12: What is the average value of the function f(x) = sin2(3x) + x on the interval [0, π]?

Question 13: At what value of x are the tangent lines to the graphs of f(x) = ln(x) and g(x) = 6

Question 14: A trapezoid is inscribed in a semicircle as shown in the figure below. The AB base has the same length with the diameter of the semicircle and is equal to 6cm. What is the maximum area of the trapezoid in cm

Question 15: The graphs of the functions f(x)=cos

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