Match the differential equations and their vector valued function solutions: It will be good practice to multiply at least one solution out fully, to make sure that you know how to do it, but you can get the other answers quickly by process of elimination and just multiply out one-row element.

1) y'(t) =

-32 49 -23
-64 78 -34
64 -78 34
2) y'(t) =

14 0 -4
2 13 -8
-3 0 25
3) y'(t) =

-97 33 -5
-140 84 35
-4 15 -8

a) y(t) =

-1
-3
-5
b) y(t) =

4
5
1
a) y(t) =

-2
-4
4

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

won't that be plagrisim thought?

step-by-step explanation:

a

step-by-step explanation: