8. Use the Fundamental Theorem of Calculus to find F'(x) given F(x)= pos() In(t+1) 8. (5 points) Use the Fundamental Theorem of Calculus to find F"(x) given F(x) - KREME RE Juin(a) sec" (6)
1. Given f(x) = et XER g(x) = 3lnx x > 0,x & IR a) Find an expression for fg(x), simplifying your answer [2] b) Show that there is only one real value of x for which fg(x) = gf(x) (6) 8 Marks
(3 + 2ry,12-3уг), 5. Find JeF . Tds, (et sin t, et cost),0 t where F(x,y) and C is given by r(t) - T. (3 + 2ry,12-3уг), 5. Find JeF . Tds, (et sin t, et cost),0 t where F(x,y) and C is given by r(t) - T.
Find f such that the given conditions are satisfied. f'(x)=x-8, f(5)= - 14 O A. f(x) = x? - 8x OB. f(x)= x? –8x +1 Oc. (x) = 1 / - 6x + 2 / 2 o
solve with matlab Given the function: f(x) x2 + 4x + et and the point f(1) = 7.7183 use Taylor series to compute the second order approximation to find the value off (1.5). Input your answer up to 4 decimal places.
nd the given value 11) Let f(x) = x2 -5 g(x)=2x+8. (f-g)(5). and Find
7. Given that f'(x) = x / (x+1)^0.5 and f(3) = 2 find f(8). Your answer should be correct to 3 places after the decimal point. f(8) =
Find the derivative of the function at the given number. f(x) = x2 - 8 at 0 f(0) = [-/1 Points] DETAILS SULLIVANCALC2 2.1.027. Find the derivative of the function at the given number. f(x) = x at 25 f'(25) [-/1 Points] DETAILS SULLIVANCALC2 2.2.053. Find the derivative of the function. 2 f(x) x² f'(x) =
Find the exact length of the curve. x = et + et y = 5 - 2t, Osts 4
g(x) = 2x -1, 8)) Given f(x) = x?, a) f(g(x)) h(x) = Vx+2; find the following: b) g(h(x))