Find the directional derivative of the function at P in the direction of v.
?

?

A.

?


B.

?


C.

?


D.

?


E.

?



Answer: B

Mathematics

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Graph the equation.(x + 4)2 + (y + 4)2 = 9

A.

B.

C.

D.

Mathematics

Solve the problem.An oil refinery can produce gasoline, heating oil, or a combination of the two. The product exchange function for gasoline, x, and heating oil, y, in thousands of gallons per week is: ?y = By sketching the quadrant I portion of the graph of this function, estimate the maximum quantity of each product that can be produced per week.

A. gasoline: 12,000,000 gal; heating oil: 500,000 gal B. gasoline: 12,000 gal; heating oil: 500 gal C. gasoline: 6,000,000 gal; heating oil: 250,000 gal D. gasoline: 500,000 gal; heating oil: 12,000,000 gal

Mathematics

Find the probability.The table lists the eight possible blood types. Also given is the percent of the U.S. population having that type.Let E be the event that a randomly selected person in the U. S. has type B blood. Let F be the event that a randomly selected person in the U. S. has RH-positive blood.Find P(F|E).

A. 0.818 B. 0.340 C. 0.720 D. 0.107

Mathematics

Find the equation of the hyperbola with the given characteristics.center at the origin, vertices at (7, 0) and (-7, 0), asymptotes y = x and y = - x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics