How do you do these two questions?

y(t) → 2 as t → ∞

dP/dt = P (P/1850 − 1) (1 − P/16000)

Step-by-step explanation:

The graph shows how dy/dt changes as a function of y.

At t = 0, y = -0.5.

At y = -0.5, dy/dt > 0.  Therefore, y is increasing.

y continues to increases until y = 2.  At this point, dy/dt = 0, and changes signs from positive to negative, so y begins to decrease.  dy/dt then becomes positive again, and the cycle repeats.

So y approaches 2 as t approaches infinity.

dP/dt is negative when P < 1850.

dP/dt is positive when 1850 < P < 16,000.

dP/dt is negative when P > 16,000.

dP/dt is 0 when P is 0.

Therefore, dP/dt = P (P/1850 − 1) (1 − P/16000).

i can you, i love poetry

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3