Continuous functions f, g are known to have the properties z 6 2 f(x) dx = 12, z 6 2 g(x) dx = 24 respectively. use these to find the value of the integral i = z 6 2 (6f(x) − 2g(x) + 5) dx.

we  are given

we can find

we can distribute it

we can plug values

and we get

now, we can plug bounds

and we get

................Answer

answer: a and b

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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