(1 point) let f(x, y)=x2ex2 and let r be the triangle bounded by the lines x=2, x=y/3, and y=x in the xy-plane. (a) express ∫rfda as a double integral in two different ways by filling in the values for the integrals below. (for one of these it will be necessary to write the double integral as a sum of two integrals, as indicated; for the other, it can be written as a single integral.) ∫rfda=∫ba∫dcf(x, y)d d

a

b

d

step-by-step explanation:

24 units

step-by-step explanation:

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512

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)