Question

calculus help......picture below

Answer 1

answer is 110 but idk how

Answer 2

You'll need to find the area under that curve first, since f(x) is the integral of f'

Answer 3

how can i find the area?

Answer 4

ok f(x) is at max when f'(x) = 0
thus at x=6 because f'(6) = 0
use the "y-values" of the points on graph at (2,16) (4,32) (5,25) to estimate how f(x) is increasing in each interval
given:
f(2) = 10 , at x=2 slope = 16
so
f(4) = 10+2*16 = 42 (note this is a low estimate since slope is increasing)
at x = 4 slope = 32

f(5) = 42 + 32 = 74
x=5 slope = 25

f(6) = 74 + 25 = 99

Answer 5

prob should have used point (3,26) to get estimate closer to 110

Answer 6

I dont understand:/

Answer 7

Find the area under the curve between x=0 and 6. Count the number of squares (approximately)

Answer 8

but how will end up being 110?

Answer 9

Find the area under the curve first, count the squares, and figure out what the area of one square is.

Then we'll deal with the f(2) = 10 (it doesn't really have much impact here... the area between x=0 and 2 is about 15 anyway)

Answer 10

oh okay i got it thanks