Solve and then use estimation to make sure your answer is reasonable.
1 answer:
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The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,
Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
Given differential equations are,
y''-y = 0
So that,
Substitute values in the given differential equation.
Therefore, the function is the solution of the given differential equation.
Another function;
So that,
Hence, function y(t)=cosht is solution of given differential equation.
Learn more about function here:
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