Write an equation that expresses the relationship. Use k as the constant of variation.x varies jointly as the square of y and the square of z.

A. x + y2 + z2 = k
B. x = ky2z2
C. xy2z2 = k
D. x = k + y2 + z2


Answer: B

Mathematics

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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with vertices (±6, 0) and foci at (±3, 0)

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

Mathematics

Find the local extrema of the function, if they exist.f(x) =  

A. No local extrema exist
B. Local maximum at ; Local minimum at 
C. Local maximum at (0, 2); Local minimum at 
D. Local minimum at ; Local maximum at 

Mathematics

Determine if the series converges absolutely, converges, or diverges.

A. converges conditionally B. diverges C. converges absolutely

Mathematics

Solve.2x2 - 3x = 5

A. -1
B. , 0
C. , 1
D. -1

Mathematics