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Verizon [17]
3 years ago
12

Consider the parabola represented by the equation -2y2 = 4x. This parabola will open to the . The equation of the directrix of t

he parabola is . The focus of the parabola is . NextReset
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0
Line: y = -1/2x + 4 area: is 7/3 you'll have to find the slope of the tangent line first which is: y' = 2x - 2 = 2(2) - 2 = 2 the perpendicular slope is then -1/2 y - 3 = -1/2(x - 2) y = -1/2x + 4

then you integrate, by using the line as the upper area, then subtracting the lower area parabola between 0 and 2 int(-1/2x + 4 - (x^2 - 2x + 3)) = -1/4x^2 + 4x -x^3/3 + x^2 - 3x replace 2 for x and you will get -1 + 8 - 8/3 + 4 - 6 12 - 29/3 = 7/3
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The height of a cone is twice the radius of its base.
amm1812

Answer:

The correct answer is option 1. \frac{2}{3} \pi x^3 cubic units.

Step-by-step explanation:

The formula for the volume, V of a right angled cone is given as:

V = \dfrac{1}{3} \pi r^{2} h ...... (1)

Where, \pi = 3.14

r is the radius of the circular base of the cone.

h is the height of the cone.

We are given that height is twice of the radius of its base.

Let the radius of base = x units

Now, As per the question statement,

The height of cone= 2 \times x units

Putting the values of r, h in equation (1) to find the volume:

\Rightarrow \dfrac{1}{3} \times \pi \times x^{2} \times 2x\\\Rightarrow \dfrac{2}{3}\pi x^{3}

Hence, the correct answer is option 1. \dfrac{2}{3}\pi x^{3} cubic units.

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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