Evaluate the improper integral or state that it is divergent. 

A.  22
B.  2? 
C.  4 ln  
D.  2?


Answer: B

Mathematics

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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local minimum at x = 3; local maximum at x = -3 ; concave up on (0, -3) and (3, ?); concave down on (-3, 3) B. Local minimum at x = 3; local maximum at x = -3 ; concave up on (0, ?); concave down on (-?, 0) C. Local maximum at x = 3; local minimum at x = -3 ; concave up on (0, -3) and (3, ?); concave down on (-3, 3) D. Local minimum at x = 3; local maximum at x = -3 ; concave down on (0, ?); concave up on (-?, 0)

Mathematics

Graph the equation. Find seven solutions in your table of values for the equation by using integers for x, starting with -3 and ending with 3.y = x2 + 4

A.

B.

C.


D.

Mathematics

Find an equation of a parabola satisfying the given conditions.Focus at (0, -6), directrix y = 6

A. y2 = -6x
B. y = - x2
C. y2 = -24x
D. y = - x2

Mathematics

Solve the problem.Bob wants to fence in a rectangular garden in his yard. He has 62 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

A. A = 33x2 - x B. A = 30x - x2 C. A = 31x - x2 D. A = 32x - x2

Mathematics