# Questions & Answers

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- Determine a region whose area is equal to the given limit. Do not evaluate the limit.
- Find the points on the surface y^2 = 9 + xz that are closest to the origin.
- If f and g are both even functions, is f + g even? If f and g are both odd functions, is f+g odd? What if f is even and g is odd? Justify your answers.
- Find the values of x such that the angle between the vectors (2, 1, -1) and (1, x, 0) is 40.
- If f(2)=10 and f'(x)=x^2f(x) for all x, find f”(2).
- For a test of Ho: p=0.5,the z test statistic equals -1.74. Find the p-value for Ha: p
- Express the plane z=x in cylindrical and spherical coordinates.
- Find the probability P (E or F), if E and F are mutually exclusive.
- Find the exponential function f(x) = a^x whose graph is given.
- (a) Find the average value f on the given interval. (b) Find c such that f_{ave} = f(c). Equation given below
- Find a single vector x whose image under t is b
- Let P(x,y) be the terminal point on the unit circle determined by t. Then find the value for sin(t), cos(t) and tan(t).