Question

antiderivative.
given the graph of f(x) passes thru the point (6,3) and the slope of its tangent line at (x,f(x)) is 2x+6. what is f(5)?

Answer 1

hrmm, so we want to integrate 2x+6 right? x^2+6x+C and we know that 6 in that should give us 3 as y

Answer 2

6^2+6*6+C=3 solve for C

Answer 3

C=-69 so x^2+6x-69. plug in 5 for x and i get -19?

Answer 4

is that way off?

Answer 5

yea i plugged into the calculator and F(5) was -14

Answer 6

oh yeah that's what i meant -14. made a arithmetic error when i checked it