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8 0

I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set $y=1.25$ for this example.)

The length of each cross section (the side lying in the base) has length determined by the horizontal distance $x$ between the y-axis $x=0$ and the curve $y=\sqrt x$ . In terms of $y$ , this distance is $x=y^2$ . The height of each cross section is twice the value of $y$ , so the area of each rectangular cross section should be $2y^3$ .

This means the volume would be given by the integral

$\displaystyle\int_0^22y^3\,\mathrm dy$

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Consider the triangle. Which shows the order of the angles from smallest to largest? angle A, angle B, angle C angle B, angle A,

Katyanochek1 [597]

Answer:

angle B, angle A, angle C

Step-by-step explanation:

The shortest side length will be opposite the smallest angle, and the longest side length will be opposite the largest angle.

When the triangle is drawn and labeled, we see that AB is opposite angle C; BC is opposite angle A; and CA is opposite angle B.

Since the smallest side is AC, this means the smallest angle is angle B.

Since the middle length side is BC, the middle sized angle is A.

Since the longest side is AB, the largest angle is C.

This means the order from smallest to largest is B, A, C.

6 0

3 years ago

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Identify the distance between points (3,7,1) and (9,6,7), and identify the midpoint of the segment for which these are the endpo

Virty [35]

Step-by-step explanation:

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