Convert the line integral to an ordinary integral with respect to the parameter and evaluate it. integral_c(x + y + z)ds; c is the part of the circle r(t) = (12 cos t, 0, 12 sin t). for 0 lessthanorequalto t lessthanorequalto 3 pi/2 the value of the ordinary integral is (type an exact answer, using radicals as needed)

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

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

i believe that the answer is

b. y-1=-2(x-4)

hope this !

1 and 0

step-by-step explanation: