If the given solutions y⃗ 1(t)=[2e3t+6e−t3e3t+15e−t], y⃗ 2(t)=[−4e3t+2e−t−6e3t+5e−t]. form a fundamental set (i. e., linearly independent set) of solutions for the system y⃗ ′=[915−4−7]y⃗ , state the general solution of the linear homogeneous system, and if they do not, enter none in all of the answer blanks. express the general solution as the product y⃗ (t)=ψ(t)c⃗ , where ψ(t) is a square matrix whose columns are the solutions forming the fundamental set and c⃗ is a column vector of arbitrary constants.

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.

step-by-step explanation: