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