[6 points] Suppose that f'(x) = 3x2 + 2x + 7 and f(1) = 11. Find the function f(x). Of(x) = x3 + x2 + 7x + 11 Of(x) = x3 + x2 + 7x + 2 Of(x) = 6x + 5 Of(x) = x3 + x2 + 9 10. V MY NOTES [6 points] Find the integral: 15x3/2 + 21n|x[ + c 10 x3/2 + 2\n\xl + C O 5x1/2 - + c şx-1/2 - + c
Find the domain of the function. f(x) = 7(x + 11) What is the domain of f? O A. (-00,-11)U( - 11,0)U(0,00) O B. (-00,000(0,00) O C. (-00,- 11)U( - 11,00) OD. (-00,00)
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
Given ?(?)=(?+7)(−?2+10)f(x)=(x+7)(−x2+10), find ?′(?)f′(x).?′(?)=f′(x)= Given ?(?)=?+1?2+?+1f(x)=x+1x2+x+1, find ?′(?)f′(x).?′(?)=
Piecewise Functions Graph: f(x) = x +5 if x 21 if x< 1 Calculate: 11) f(1) = 12) f(-3) = 13) f(2)= Functions: 1) Find g(2)= 1963 2) Find x-intercepts 3) Find y intercept 4) Find Domain of g 5) Find Range of g 6) For what value of x is g(x) = 0? 7) For what value of x is g(x) = 2? 8) Interval where g is decreasing - 9) Relative Maximum Point
7. Find the function f(t) that satisfies the equality f(t)dt = x-COS x + 1.
7. Find the function f(t) that satisfies the equality f(t)dt = x-COS x + 1.
how to find deltaRx and deltaRy from these equations?
R F F+ F2x X 1 x R,-F= F, + F2y 11
R F F+ F2x X 1 x R,-F= F, + F2y 11
Find the inverse function of f informally. f(x) = 7x f-1(x) = Verify that f(F-1(x)) = x and f-1(f(x)) = x. AF-1(x)) = f( = X f-1(f(x)) = f-1 7x = X Use the table of values for y = (x) to complete a table for y = f'(x). (Order your answers from smallest to largest x-value.) х -1 0 1 2 3 4 13 f(x) الميا 5 7 9 11 (x)
QUESTION 11 Find the solution of x' + 2x' +x=f(t), x(0)=1, x'(o=0, where f(t) = 1 if t< 2; and f(t) = 0 if t> 2.
7. If f(x) = (2x2 + 3x - 7), find f'(x).