The height of the surface increases, then decreases, from the center out to the sides of the road.
<h3>What is quadratic equation?</h3>
The polynomial having a degree of 2 is defined as the quadratic equation it means that the variable will have a maximum power of 2.
Let
y------> the height of the surface
x------> the road
we know that
The quadratic regression graphed represent a vertical parabola open downward
The function increase in the interval --------> (-5,0)
The function decrease in the interval --------> (0,5)
therefore
The height of the surface increases, then decreases, from the center out to the sides of the road.
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a. Parameterize
by

with
.
b/c. The line integral of
over
is




d. Notice that we can write the line integral as

By Green's theorem, the line integral is equivalent to

where
is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.
Answer:
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Step-by-step explanation:
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Answer:
(-3, 2)
Step-by-step explanation:
I think because of the vertex
Answer:
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
Given:
Length of slide = 12 feet
Angle of depression = 25°
Find:
Height of slide
Computation:
Length of slide = Hypotenuse
Height of slide = Perpendicular
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 25 = Height of slide / 12
0.422 = Height of slide / 12
Height of slide = 12 x 0.422
Height of slide = 5.064
Height of slide = 5 feet (Approx.)