Evaluate the function at the given value of the independent variable and simplify.h(x) = ;h(15)

A. 4
B. -26
C. -4
D. 26


Answer: A

Mathematics

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Solve the problem.The ellipse  +  = 1 is shifted horizontally and vertically to obtain the ellipse +  = 1.Find the center and vertices of the new ellipse.

A. Center: (-3, 4); Vertices: (-28, 4), (22, 4) B. Center: (4, -3); Vertices: (-28, 4), (22, 4) C. Center: (-3, 4); Vertices: (4, -28), (4, 22) D. Center: (4, -3); Vertices: (4, -28), (4, 22)

Mathematics

Solve by substitution and check.x + y = 9 y = 2x + 3

A. (7, 2) B. (2, 7) C. (3, 6) D. (1, 9)

Mathematics

Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the curves y = ±  and the lines x = 1 and x = 9, with density ?(x) = 

A.  = 3,  = 0
B.  = 2,  = 0
C.  = 5,  = 0
D.  = 4,  = 0

Mathematics

Graph the level curves in the first octant at heights of   and  for the given equation.x2+ y2+ z2= 16 

A.

B.

C.

D.

Mathematics