X^2
diff. w.r. to x
=dx^2/dx
=2x^(2-1)
=2x .....
The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
<h3>What is an ellipse?</h3>
An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.
2a = 60 (width of the tunnel is 60 feet)
a = 30
And the maximum height at the center of the tunnel is 25 feet
b = 25
Let's assume the center of the ellipse is at the origin.
So the equation of the ellipse:

Now plug x = a - 5 = 30 - 5 = 25

After solving:


y = ±13.819 ≈ ±13.82
Height cannot be negative
y = 13.82 feet
Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
Learn more about the ellipse here:
brainly.com/question/19507943
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Hi,
Let's solve the equation step by step.
6(a+3)=18+6a
Step 1: Simplify both sides of the equation.
6(a+3)=18+6a
(6)(a)+(6)(3)=18+6a(Distribute)
6a+18=18+6a
6a+18=6a+18
Step 2: Subtract 6a from both sides.
6a+18−6a=6a+18−6a
18=18
Step 3: Subtract 18 from both sides.
18−18=18−18
0=0
Answer:
All real numbers are solutions.
Have a great day!
Answer:
A
Step-by-step explanation:
-∞<y<5