Question

Let f be the function shown below, with domain the closed interval [0, 6]. The graph of f shown below, composed of two semicircles.

Answer 1

I need help with mostly B, but if you could check A that would be great.

Answer 2

B)
take derivative of your function and then put x=5/2
that will be your answer.

Answer 3

@shayaan_Mustafa could you explain that some more? Do you mean take the derivative of 2x-1?

Answer 4

are you there @Nanoman

Answer 5

yeah

Answer 6

ok sorry for so late.
well try to identify your function first then take derivative of it.

Answer 7

Oh, well isn't the function the area of the two circles?

Answer 8

yeah yeah. i know it is not the function.

i mean do you know what is the equation of the semi-circle?

Answer 9

@Shayaan_Mustafa Yes, 1/2 of the equation of a circle

Answer 10

i think the answer for A is 9.428

Answer 11

hello.
equation of the circle is
\[\large (x-a)^{2}+(x-b ^{})^2_=r ^{2}\]

Answer 12

I shouldn't use the area formula?

Answer 13

if a=0 and b=0 then circle's center is at origin.

Answer 14

you mean you should integrate the function for area under the curve? yes you are right.

Answer 15

okay, I made a minor error on my calculations
Update: 4.714