Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable that converts it into a linear equation.

The most important such equation has the form y' + p(t)y = q(t) yⁿ and is called Bernoulli's equation after Jakob Bernoulli. If n ≠ 0, 1, then the substitution v = y¹⁻ⁿ reduces Bernoulli's equation to a linear equation.

Solve the given Bernoulli equation by using this substitution:

y' = εy − σy⁵, ε > 0 and σ > 0.

This equation occurs in the study of the stability of fluid flow.

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! : )

cretdit to source

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%

the football players are volunteering for the test.

happy to

pls mark as brainliest