A differential equation and various initial conditions are specified. Sketch the graphs of the solutions satisfying these initial conditions. For each exercise, put all graphs on one pair of axes.
a. dy/dt=3y(y-2); y(0)=1; y(-2)= -1; y(0)=3; y(0)=2.
b. dy/dt=cos y; y(0)=0; y(-1)=1; y(0)= -pi/2; y(0)=pi.
c. dv/dt= -v2-2v-2; v(0)=0; v(1)=1; v(0)=1

See attachment

Step-by-step explanation:

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function