An differential equation in the form: (dy/dx)=g(ax+by); let v=ax+by
(dy/dx)-x^2-6xy=9y^2
a) solve for dy/dx b) then factor the equation so it can be in the form: g(ax+by) c) after you factor, don't forget to differentiate y with respect to x d) then start the process of solving by substitution; solve for y as the final solution.

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

where are the graphs?

step-by-step explanation:

perimeter of the base times height

step-by-step explanation: