Find the maximum rate of change of f(x; y) = 4y p x at the point (4,1) and the direction in which it occur

16p

Direction: positive/upward direction

Step-by-step explanation:

First, the function is f(x,y) = 4ypx

At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is

4(1)p(4) = 16p

The direction in which it occurs is the positive(upward) direction

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.