The graph of a function is given. Choose the answer that represents the graph of its derivative.
A.
B.
C.
D.
Answer: B
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) =
A. Domain: all points in the xy-plane; range: real numbers 0 ? z ? 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 10
B. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at
C. Domain: all points in the xy-plane satisfying x2 + y2 ? 100; range: real numbers 0 ? z ? 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 10
D. Domain: all points in the xy-plane satisfying x2 + y2 = 100; range: real numbers 0 ? z ? 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 10
Find the average value of the function over the given interval.y = 2 - x2; [-1, 2]
A. -
B. 1
C. -
D.
Solve the problem.The value of cash for Hamilton Supplies last year was $40,000 and this year was $60,000. Find the percent increase (or decrease) in cash from last year to this year.
A. 50.0% increase B. 66.7% decrease C. 66.7% increase D. 50.0% decrease
Graph the ellipse. Label the intercepts.4x2 + 9y2 = 36
A. (-2, 0), (2, 0), (0, -3), (0, 3)
B. (-2, 0), (2, 0), (0, -3), (0, 3)
C. (-3, 0), (3, 0), (0, -2), (0, 2)
D. (-3, 0), (3, 0), (0, -2), (0, 2)