Let y(t) = 13(1 − e^−6t). In this question, you will show that this function satisfies the differential equation dy/dt = 6(13 − y).

1. Calculate dy/dt by differentiating the formula for y.

dy/dt =

2. Calculate 6(13 − y) by substituting the formula for y.

6(13 − y) =

y(t) = 13[1 - e^(-6t)]

does not satisfy the differential equation,

dy/dt = 6(13 - y)

Step-by-step explanation:

Given

y(t) = 13[1 - e^(-6t)](1)

We want to show that this function satisfies the differential equation dy/dt = 6(13 - y)(2)

If (1) is a solution of (2), then after differentiating (1) with respect to t, we obtain dy/dy, and substituting the value obtain for dy/dt into (2), (2) is satisfied. Otherwise, it doesn't not satisfy (2).

Now, let us do that.

y(t) = 13[1 - e^(-6t)]

Differentiating with respect to t, we have:

dy/dt = 13×(-6)[1 - e^(-6t)]

= -6×13[1 - e^(-6t)]

But y = 13[1 - e^(-6t)]

So,

dy/dt = -6y

Therefore,

y(t) = 13[1 - e^(-6t)]

does not satisfy the differential equation,

dy/dt = 6(13 - y)

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice