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10 Nov 2019
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
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
Deanna HettingerLv2
20 Jul 2019
