Rewrite equation so that it is homogeneous .

Solve characteristic equation:
The solutions to the homogeneous equation are:

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
The ball's maximum height is 30.25 feet.
<h3>What is quadratic equation?</h3>
A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.
Given:
h= -16t²+36t+10
Differentiate w.r.t. 't',
h' = -32t+36
When h=0, that will be the maximum height
32t= 36
t= 9/8
t= 1.125 sec.
So, The maximum height is
h(1.123)= -16(1.125)² + 36*1.125+10
h(1.125) = 30.25 feet.
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The inverse of the function f(x) = 4(x-3)² + 2 is 
The given function is:
f(x) = 4(x - 3)² + 2
To find the inverse of the function:
Make x as the subject of the formula

Replace x by
and replace f(x) by x

Therefore, the inverse of the function is:

Learn more here: brainly.com/question/17285960
<span>(6+8)/2 = 14/2 = 7 hope this helps
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11.5% × 350 =
(11.5 ÷ 100) × 350 =
(11.5 × 350) ÷ 100 =
4,025 ÷ 100 =
40.25