1. Use the definition of continuity and the properties of limitsto show that the function is continuous at the given number(a).

f(x) = (x+3x^5)^4 , a= (-1)

 lim f(x) as x approaches -1 (x+3x^5)^4

= (lim x +3 times lim x^5)^4

= (-1 +3 (???)^5)^4 ------got stuck here

= ???

f(-1) = ??

2. Find the average value f(ave) of the function f on the giveninterval

f(x)= 6x -x^2 , [0, 4]

3. Find the area of the shaded region between a curve and aline:

y = 9x-x^2 and y = 2x

the functions intersect at (0,0) and (7, 14)

I need to figure out the area of the upper half, above the y =2xline

it is a concave down parabola