Question

i need help with part c & d of this question.. i will post it.

Answer 1

C) in other words is asking where is the maximum area under the curve happening

Answer 2

okay and can you help me find that

Answer 3

and minimum is smallest area or most negative area

Answer 4

okay

Answer 5

similiar to b, did you solve that?

Answer 6

for b i got that F is increasing on (0,3) and (7,10) is that correct?

Answer 7

From the Fundamental Theorem of calculus
if
\[F(x)=\int_0^x{f(t)} dt\]
\[d/dx(F(x))=d/dx(\int_0^x{f(t)} dt)=f(x)\]

Answer 8

well not quite actually

Answer 9

if you see we showed what d/dx(F(x)) is now

Answer 10

there fore when
d/dx (F(x)) > 0 we know its increasing so
f(x)>0 is inc and f(x)<0 is dec
find where the function is positive and negative