Suppose f is a differentiable function (over R) for each of the following problems: A. Find...

 

 

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Suppose f is a differentiable function (over R) for each of the following problems: A. Find f(3) given that a + * f(t) dt = 1 8 cos (7x). B. Find (3) given that x + ((x)) + * (t) dt = 9 + 8 cos (7T). 2 C. Find (3) given that z + ((2)) + (f* f(1) dt) D. Find f(3) given that 6x - S. 1 ( f(x)f(t) E. Find f'(3) given that f(3) = 6 and x dt = = 9+ 8 cos (x). 54 + 7 sin (7x). f(x) dt = 2 7 cos (1x). F. Find f(3) given that 6x - G. Find f(3) given that x + H. Find f(3) given that x+ X S (f(x) + f(t)) di (f(x) + f(t)) dt = 54 + 7 sin (7x). 3 cx-6 3 Cx-6 9 X I. Find f(3) given that 4x+1+ J. Find f(3) given that S.. f(t) dt = 7+ 4 cos (x). f(t) dt = 3 + 7 sin (x). S [*110) de + f f(t) dt 3 X f(9t) dt f(t) dt 17 cos (x). L. Find f(1) given that 4 sin(x) + x = X x-6 = ([~ 5(6) at) (* F(1) at) S f(t) dt f(t) 3 X Cx K. Find (4) given that 4 sin (77) + x * (xt) dt = 1 cos (xx). Cx [ f(t/x) dt = 1cos (2x). X M. Find f'(3) given that f(3) = 1, f(1) = 5 and x + rf(x) [1() f(t) dt = 7 cos (7x). 8 N. Find f'(3) given that (2) = f(3) = (9) = 1 and 1+ O. Find f(8) given that f(3) = 8 and 4x+1+ Q. Find f'(1) given that ((1)) 0_ and R. Find f'(1) given that ((1)) = _and P. Find f'(3) given that f(3) = f(8) = 8, and 12x+1 = x + 2 Cx (Sh 1 Cx f(x) x-3x+2 ( f(s)ds) rsin(Tx/2) f(f(t)) dt = 3x - 1. f(t) dt = f [f(a) f(f(t)) dt. 3 2 f(x) f(t) dt dt) - 3+ [1() = -7 f(t) d 2 f(x) (1) f(1) dt) = 2 + [1,) x dt. f(t) dt. S. Find f (0) f'(3) given that (3) = (9) = 1 and x + rx f(x) 3x T. Find f'(3) given that f(3) = (9) = 1 and x + sin(x/2) U. Find (0) '(3) given that (3) = f(9) = 1 and cos(x) f(t) dt = 2 + 7 f(x). rx f(x) rx f(x) f(t) dt = 7f(x). f(t) dt = 2 + f(x) Suppose f is a differentiable function (over R) for each of the following problems: A. Find f(3) given that a + * f(t) dt = 1 8 cos (7x). B. Find (3) given that x + ((x)) + * (t) dt = 9 + 8 cos (7T). 2 C. Find (3) given that z + ((2)) + (f* f(1) dt) D. Find f(3) given that 6x - S. 1 ( f(x)f(t) E. Find f'(3) given that f(3) = 6 and x dt = = 9+ 8 cos (x). 54 + 7 sin (7x). f(x) dt = 2 7 cos (1x). F. Find f(3) given that 6x - G. Find f(3) given that x + H. Find f(3) given that x+ X S (f(x) + f(t)) di (f(x) + f(t)) dt = 54 + 7 sin (7x). 3 cx-6 3 Cx-6 9 X I. Find f(3) given that 4x+1+ J. Find f(3) given that S.. f(t) dt = 7+ 4 cos (x). f(t) dt = 3 + 7 sin (x). S [*110) de + f f(t) dt 3 X f(9t) dt f(t) dt 17 cos (x). L. Find f(1) given that 4 sin(x) + x = X x-6 = ([~ 5(6) at) (* F(1) at) S f(t) dt f(t) 3 X Cx K. Find (4) given that 4 sin (77) + x * (xt) dt = 1 cos (xx). Cx [ f(t/x) dt = 1cos (2x). X M. Find f'(3) given that f(3) = 1, f(1) = 5 and x + rf(x) [1() f(t) dt = 7 cos (7x). 8 N. Find f'(3) given that (2) = f(3) = (9) = 1 and 1+ O. Find f(8) given that f(3) = 8 and 4x+1+ Q. Find f'(1) given that ((1)) 0_ and R. Find f'(1) given that ((1)) = _and P. Find f'(3) given that f(3) = f(8) = 8, and 12x+1 = x + 2 Cx (Sh 1 Cx f(x) x-3x+2 ( f(s)ds) rsin(Tx/2) f(f(t)) dt = 3x - 1. f(t) dt = f [f(a) f(f(t)) dt. 3 2 f(x) f(t) dt dt) - 3+ [1() = -7 f(t) d 2 f(x) (1) f(1) dt) = 2 + [1,) x dt. f(t) dt. S. Find f (0) f'(3) given that (3) = (9) = 1 and x + rx f(x) 3x T. Find f'(3) given that f(3) = (9) = 1 and x + sin(x/2) U. Find (0) '(3) given that (3) = f(9) = 1 and cos(x) f(t) dt = 2 + 7 f(x). rx f(x) rx f(x) f(t) dt = 7f(x). f(t) dt = 2 + f(x)