For the following functions f: R^3 rightarrow R and g: R rightarrow R^3, find nabla f and g' and evaluate (f compositefunction g)' (1). f(x, y, z) = xz + yz + xy, g(t) = (e^t, cos(t), sin(t)) nabla f = g' = (f compositefunction g)'(1) = f(x, y, z) = e^xyz, g(t) = (9t, 5t^2, t^3) nabla f = g' = (f compositefunction g)'(1) = f(x, y, z) = (x^2 + y^2 + z^2)log(Squareroot x^2 + y^2 + z^2), g(t) = (e^t, e^-t, t) nabla f = g' = (f compositefunction g)'(1) =

12.5 feet

step-by-step explanation:

the 3rd on is correct

step-by-step explanation:

answer: 1+1

step-by-step explanation: 1+1 is at least 2

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)