Find the vertex, focus, and directrix of the parabola x² = 7y.

What will be an ideal response?


Mathematics

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Find all the first order partial derivatives for the following function.f(x, y, z) = x2y + y2z + xz2

A.  = 2y + z2 = x2 + 2z;  = y2 + 2x
B.  = 2xy + z2 = x2 + 2yz;  = y2 + 2xz
C.  = 2xy;  = x2 + 2yz;  = y2 + 2xz
D.  = 2xy + z2 = x2 + yz;  = y2 + xz

Mathematics

Estimate the indicated probability.The Amboy Kennel Club has held an annual dog show for the last 30 years. During this time the winner of "Best of Show" has been an Alaskan Malamute 15 times, a Great Pyrenees 3 times, and an Siberian Husky 12 times. Determine the empirical probability that the next winner of "Best of Show" will be a Siberian Husky.

A.
B.
C.
D.

Mathematics

Find the midpoint of the line segment whose endpoints are given.(8, 4), (13, 9)

A.
B. (21, 13)
C.
D.

Mathematics

Approximate to the nearest hundredth.71/3

A. 1.91 B. 2.91 C. -21 D. 2.65

Mathematics