Answer:
81π for the x axis.
Step-by-step explanation:
STEP ONE: Determine the intersection.
we are given from the question that y = x^2 and y = 6x − x^2. Therefore if y = x^2, then we will have;
x^2 = 6x - x^2 ---------------------------------------------------------------------------------[1].
Solving and factorizing the equation [1] above give us x = 0 and x = 3 (that is x[6 -2x] = 0 ). Therefore, the point of intersection = (0,0) and (3,9).
<u>STEP TWO</u><em>: </em>Determine the value for the cross sectional area.
The cross sectional area= [6x - x^2]π - [x2]^2 π. --------------[2].
The cross sectional area = -12 π[x -3]x^2.
<u>STEP THREE:</u> integrate the cross sectional area taking x =3 and x =0 as the upper and lower integration limits or boundaries with respect to dx to determine the vome in the x axis.
<h3>volume =∫-12 π[x -3]x^2 dx.</h3><h3 /><h3>volume = -12 π[ (3)^4/4 - (3)^3 ] = 81π.</h3>
volume, v with respect to the x axis = 81π
It is roughly 0.857 in decimal or in fractions 6/7. Please mark Brainliest!!!
Answer: height of TV = 21"
Width of TV = 36.372"
Step-by-step explanation:
The TV is rectangular and the diagonal divides the rectangle into 2 equal right angle triangles. The diagonal represents the hypotenuse of the right angle triangle. If the diagonal forms a 30 degree angle with the base of the TV, then the height of the TV represents the opposite side of the right angle triangle and the width of the TV represents the adjacent side of the right angle triangle.
To determine the height, h of the TV, we would apply the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 30 = h/42
h = 42Sin30 = = 42 × 0.5
h = 21"
To determine the width, w of the TV, we would apply the
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = w/42
w = 42Cos30 = 42 × 0.866
w = 36.372"
F(x)=g(x)
fx=gx
f/g=x
i hope this will help
The equation has no solution for x and the formula that correctly solves for the other base, b is b = 2/9A - 35
<h3>How to determine the solutions of the equation?</h3>
The equation is given as:
b = 2A/h
There is no occurrence of x in the above equation
This means that the equation has no solution for x
<h3>Which of the following formulas correctly solves for the other base, b?</h3>
Here, we have:
A = 9/2(b+35)
Multiply both sides by 2
2A = 9(b+35)
Divide both sides by 9
2/9A = b + 35
Subtract 35 from both sides
b = 2/9A - 35
Hence, the formula that correctly solves for the other base, b is b = 2/9A - 35
Read more about equations at:
brainly.com/question/2972832
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