Area of the region between the curve y = x2 – 3x and the line y = 3x.

Step-by-step explanation:

To find the domain, find where the curves intersect

x² - 3x = 3x

x² = 6x

x = 0, x = 6

integrate from x = 0 to 6 the difference between the curves

A =∫ 3x - (x² - 3x)dx

A =∫ (6x - x²)dx

A = 3x² - x³/3

A = 3(6)² - (6)³/3 - (3(0)² - (0)³/3)

A = 36 units²

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2