Question

if the function f is defined by the equation f(x,y)=x^2 y^3 and f(a,b)=10, what is the value of f(2a,2b)?

Answer 1

f(a,b) = 10 ---> a^2b^3 = 10
f(2a,2b) = (2a)^2(2b)^3 = 4a^2*8b^3 = 32a^2b^3
now, u just subtitute the value of a^2b^3 = 10

Answer 2

i didnt get u

Answer 3

the first substitution yields \[a^2b^3=10 \]

Answer 4

the 2nd evalution yields \[f(2a,2b)=(2a)^2(2b)^3\]

Answer 5

then?

Answer 6

options 50,100,160,320

Answer 7

simplify (2a)^2(2b)^3 first

Answer 8

4a^2 8a^3

Answer 9

you mean 4a^28b^3

Answer 10

yup

Answer 11

or 32a^2b^3

Answer 12

how 32?

Answer 13

product of the numerical coefficients

Answer 14

show steps plz

Answer 15

\[(4a^2)(8b^3)=32a^2b^3\]

Answer 16

now i got it :)

Answer 17

so the answer to the problem is?

Answer 18

32 X 10

Answer 19

320?

Answer 20

bingo

Answer 21

what will we substitude in place of a n b?

Answer 22

okaay got it

Answer 23

thanks