Simplify this expression 3x^2 y^2/24x

2 answers:

4 0

The answer would be (1/8) (xy ^ 2).
Equation:
3x ^ 2 y ^ 2 / 24x

=(3/24) (x ^ 2 y ^ 2 / x)
SO simplify it is
= (1/8) (xy ^ 2)

The simplified expression for this case is given by:
(1/8) (xy ^ 2)

7nadin3 [17]2 years ago

3 0

For this case we have the following expression:
3x ^ 2 y ^ 2 / 24x
Rewriting we have:
(3/24) (x ^ 2 y ^ 2 / x)
Simplifying we have:
(1/8) (xy ^ 2)
Answer:
The simplified expression for this case is given by:
(1/8) (xy ^ 2)

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We have that
$y=- x^{2} +36$

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum

step 1
convert the equation of the parabola in the vertex form
$y=- x^{2} +36 \\ y-36=- x^{2}$

the vertex (h,k) is the point (0,36)

Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)

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see the attached figure