Solve the problem.Find the derivative of the function    at the point    in the direction in which the function decreases most rapidly.

A. -9
B. -30
C. -20
D. -10


Answer: D

Mathematics

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Solve the equation.ln (2x - 5) = ln 15 - ln (x - 3)

A. 0, 11/2 B. 3, 3/2 C. ? D. 11/2

Mathematics

Evaluate the spherical coordinate integral.

A. ?
B. ?
C. ?
D. ?

Mathematics

Provide an appropriate response.An oil tanker is losing oil at a rate of R'(t) =  where t is the time in minutes and R(t) is the radius of the oil slick in feet. Use n = 6 and Simpson's rule to approximate the size of the radius after 5 seconds.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero.f(x) = 2(x + 4)3

A. 3, multiplicity 1, crosses x-axis; 4, multiplicity 3, crosses x-axis B. - 3, multiplicity 1, crosses x-axis; -4, multiplicity 3, crosses x-axis C. - 3, multiplicity 1, touches the x-axis and turns around; -4, multiplicity 3, touches x-axis and turns around D. 3, multiplicity 1, touches the x-axis and turns around; 4, multiplicity 3, touches x-axis and turns around

Mathematics