To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
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The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9
<h3>How to determine the quadratic equation?</h3>
From the question, the given parameters are:
Roots = (-1 - √2)/3 and (-1 + √2)/3
The quadratic equation is then calculated as
f(x) = The products of (x - roots)
Substitute the known values in the above equation
So, we have the following equation

This gives

Evaluate the products

Evaluate the like terms

So, we have
f(x) = x²+ 2/3x - 1/9
Read more about quadratic equations at
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Answer:
Step-by-step explanation:
To inscribe a circle in a given triangle PQR means to construct a circle in the triangle PQR. The incenter of a triangle is the midpoint in the triangle, which can be located by bisecting the three angles of the triangle individually.
The construction is shown in the attachment.
Y = x + 4
y = -2x - 2
x + 4 = -2x - 2
x + 2x = -2 - 4
3x = -6
x = -6/3
x = -2
y = x + 4
y = -2 + 4
y = 2
solution is (-2,2)
Answer:
A Yard is 3 feet. 3:1 ratio
Step-by-step explanation:
5 yards equals 15 feet