Part (b)
We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.

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This means,

is the solution with the initial condition y(0) = 0.
Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
x ^ 2 - 18 = 0
For this case, the first thing you should do is rewrite the expression:
x ^ 2 - 18 = 0
x ^ 2 = 18
The solutions for this case are:
x1 = root (18)
x2 = -raiz (18)
Therefore the answer is:
2 solutions of real numbers.
Answer:
2
The average rate of change between March 15 and June 15 will be given by:
(82.4-66.8)/(6-3)
=15.6/3
=5.2° F per month
Answer: C
160
Is the the answers r I did this before trust me