Question

Find f(x) that satisfies the following conditions ") = 6. /'(t) = 4 f(1) = 7 Answer 6 Points Keypad Keyboard Shortcuts SO)

Answer 1

We have, 6. dx t (1) = 6 @= or, al f'(x)} = 6dx entegrating NOD both sides, we get Jaz fon) - Jody (where a, is an and x tc when f () = 6x + c entegrating constant Jax the given condition, f'(I) = 4 eie. u=!, Then f = 4 Thin from o get 4= 6x1 & G C = 4-6 = -2 Putting c) = -2 we get f (M) = 6x-2 we or, d da 146): 67- mo? fon}(6x-2) de integrating both sides, Now, get
The answer sheet has two pages.it is the first page
o I offen) = (x - 2) dx fch fo = 6 xdx - 2fare or for) = 36. x2 – 24 + G (where is an contegrating constant Side sana if(1) = 30² - 2x + (2 By the given condition, f(1) = 7 This from = Denti - xtc + c ntl we get, 7= 3-2 + ₂ G = 7-1= 6 Therefore, f(2)= 3x - 2x + 6
Second/last page