Find the particular solution of the differential equation?
/=5^3+9^2, when =1, =8

Step-by-step explanation:

f'(2) = 3(2)2-6(2)+C

      = 3(4)-12+C

      = C

      = 3

We have f'(x) = 3x2-6x+3. Then,

f(x) = x3-3x2+3x+D

But f(2) = 1, so

f(2) = 23-3(2)2+3(2)+D

      = 8 - 12 + 6 + D

      = 2 + D

      = 1

so D = -1. We have f(x) = x3-3x2+3x-1

to complete this square you have to rotate about the origin 270 degrees clockwise.

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74