Complete the derivation of the formula for a cylinder
whose height is equal to its radius.
Suppose the height of a cylinder is equal to its radius.
The cylinder can fit inside a square prism, as shown
below.
The cross-sectional areas are still the same and the ratio
of the area of the circle to the area of the square is still I
The prism's volume is the area of the base,
times the height,
4
Since the ratio of the areas is , then the volume of the
times the volume of the prism.
cylinder is
r
2r
V = (413), or

Step-by-step explanation:

it's πr2h

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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