Transform the following vectors into cylindrical coordinates and then evaluate them at the indicated points: a = x(x + y) at p_1 =(1,2,3) b = x(y-x) + y(x-y) at p_2 = (1,0,2) c = xy^2/(x62 + y^2) - yx^2/(x^2 + y^2) + z4 at p_3 = (1,-1,2) d = r sin theta + theta cos theta + phi cos^2 phi at p_4 = (2, pi/2, pi/4)

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: you need the equation in the question so i can answer it

step-by-step explanation: