12.7 Determine the Laplace transform of each of the following functions: (a) f1(t) =2t2e−3t u(t) (b) f2(t) =5sin(6t +30◦) u(t) *(c) f3(t) =10e−4(t−3) u(t −3) (d) f4(t) =15(e−2t −e2t) u(t) (e) f5(t) =8e−4t cos(2t) u(t) (f) f6(t) =10te−t sin(2t) u(t)

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^

mathpapa

step-by-step explanation:

step-by-step explanation: