Suppose that over a certain region of space the electrical potential v is given by the following equation. v(x, y, z) = 4x2 − 2xy + xyz (a) find the rate of change of the potential at p(2, 4, 4) in the direction of the vector v = i + j − k. $$ correct: your answer is correct. (b) in which direction does v change most rapidly at p? $$ correct: your answer is correct. (c) what is the maximum rate of change at p?

17 1/3

step-by-step explanation:

answer: approximately 206 bones

i hope this u out a branlist and a would be greatly appreciated :

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of