Write in standard form the equation of the ellipse with the given characteristics.center at the origin, an x-intercept at (5, 0), and a y-intercept at (0, )

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1


Answer: D

Mathematics

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Solve the problem.A 25-kg mass is attached to a spring that hangs vertically and is stretched 2 m from the equilibrium position of the spring. Assume a linear spring with F(x) = kx. How much work is required to compress the spring and lift the mass 1 m? Round to four decimal places when appropriate.

A. 183.75 J B. 275.625 J C. 30.625 J D. 428.75 J

Mathematics

Find the potential function f for the field F.F = 2xex2+y2i + 2yex2+y2j

A. f(x, y, z) =  + C
B. f(x, y, z) = ex2+y2 + C
C. f(x, y, z) = ex2 + ey2 + C
D. f(x, y, z) = 2ex2+y2 + C

Mathematics

Solve the problem.The line that is normal to the curve x2 - xy + y2 = 4 at (2, 2) intersects the curve at what other point?

A. (-2, -2) B. (-4, -4) C. (0, -2) D. (-2, 0)

Mathematics

Rewrite the fractions using the least common denominator. ,  , and 

A.  ,  , and 
B.  ,  , and 
C.  ,  , and 
D.  ,  , and 

Mathematics