Create a cylinder with a height of 8 cm and a radius of 4 cm. Make note of the volume. Which could you do to increase the volume? Check all that apply.

1,2,4,5

Step-by-step explanation: Bit late, but here to help anyone else :) Assuming your options like mine were: 1) Double the height.  2) Double the radius.  3) Double the height but half the radius.  4) Double the radius but half the height.  5) Make the radius and height both 6 cm.  The answers are 1,2,4,5.

Doubling the height of a cylinder will always double the volume.

Doubling the radius will always quadruple the volume.

Doubling the height but halving the radius takes away more volume during halving the radius than is gained while doubling the height, which makes the volume less than the original.

Doubling the radius but halving the height gains more volume in doubling the radius than halving the height, which keeps the volume above the original.

Making the radius and height both 6 cm creates a larger volume.

Happy to help :)

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

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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