g3ه 5. Let F(x) = وب tet-2 + t3 +1 - dt, find F (2). tt + 3
5. Let F(x) = Lt tet-2+tº +1 Edt, find F'(2) tt +3
5) Let F(t) te), te,t >for t e R. Find (t)dt. 0 te, tet, tdt 0
5. Let F(x) = Lates te-2 +tº+1 -dt, find F'(2) 1 + 3
Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x)=∫4 x sin(t3)dt F′(x) =
7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1)
7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1)
Therefore, T3(x) = and the graph of the functions f and T3 is below. 2 Find the Taylor polynomial T(x) for the function f at the number a. Graph fand T3 on the same paper. = =,a = 4, n = 3 1 Part 1 of 3 The Taylor polynomial Tn(x) for n = 3 is T3(x) = Ra) + f '(a)(x – a) + 2)(x - )2 +. F" @)(x - a)3 3! The function f(x) has derivatives х...
(1 point) Let f(x) = [: to dt. Evaluate the following. f'(x) = f'(5) =
Let f(1 , Τρ, T3) (x1+x , (x1, x2, T3) E R3, a > 0. For which a is the function f differentiable at 0?
Let f(1 , Τρ, T3) (x1+x , (x1, x2, T3) E R3, a > 0. For which a is the function f differentiable at 0?
Let F(x) = ſ vt(t+1) dt. Find F'(x) (again, the derivative!!). In()