Find an equation for the ellipse.Foci at (0, ±3); y-intercepts are ±5

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


Answer: D

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 4 for r(t) = (4t2 + 4t + 4)i - 3t3j + (8 - t2)k

A. v(4) = 36i + 144j + 8k B. v(4) = 20i - 48j - 4k C. v(4) = 36i - 144j - 8k D. v(4) = 28i - 144j - 8k

Mathematics

If you have the following function f ( x ) = 5x + 6, compute f (5), f (-5), f (9), f (-9). 

A. f (5) = 34, f (-5) = -21, f (9) = 54, f (-9) = -41 B. f (5) = 31, f (-5) = -19, f (9) = 51, f (-9) = -39 C. f (5) = 30, f (-5) = -18, f (9) = 50, f (-9) = -38 D. f (5) = 32, f (-5) = -20, f (9) = 52, f (-9) = -40 E. f (5) = -31, f (-5) = 19, f (9) = - 51, f (-9) = 39

Mathematics

Factor:

Mathematics

Solve the system by substitution, if possible. ? ? If the system is dependent or inconsistent, indicate this. In those cases enter dependent or inconsistent. Otherwise, enter your answer as an ordered pair in the form (x, y).

What will be an ideal response?

Mathematics