Find the function f(x) such that f'(x) = f(x)(1 – f(x)) and f(0) = 1/12. (Use f for f(x) in your equation.)
Find the function f(x) such that f'(x) = f(x)(1 – f(x)) and f(0) = 1/12
Find the function f(x) such that f'(x) = f(x)(1 – f(x)) and f(0) 1o. (Use f for f(x) in your equation.) 10 1 1 + 9e Need Help? Read It Talk to a Tutor
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)
Problem 1 Score: /25 a (12 Points): Consider the function f(x) = 3x2 + 2. - 1. Express this function in the form f(x) - a(a + k) +h. Find the vertex of the quadratic. Solve the equation f(x) = 0.
This Question: 1 pt The function f(x) = 7x + 3 x-1.x+1, is one-to-one. Find an equation for f '(x), the inverse function. f'(x)=x+7 (Simplify your answer. Use integers or fractions for any numbe
The function f(x) = 2x + 1 is one-to-one. Find an equation for f 'x), the inverse function (Type an expression for the inverse. Use integers or fractions for any numbers in the expression)
The graph of a function f is shown below. Find f(1) and find one value of x for which f(x) = -1. 3 2 (a) (1) - 0 One value of x for which /(x) = -1: (b) 6 ? The graph of a function g is shown below. Use the graph of the function to find its average rate of change from x=7 to x=9. Simplify your answer as much as possible. 6 10 12 14 18 -10
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0 Question 14 of 23 (1 point) The one-to-one function is given. Write an equation for the inverse function. 2 s(x) = х 3
Anti-differentiation Question 1. Find the function f(x) if 1. f'(x) = 0.5e -0.2x, f(0) = 0 2. f'(x) = x2 + Vx, f(1) = 3 3. f'(x) = 1 7x Question 2. Find the number k: 14t - +0 e 4x-1 2.[(4 – x)"dx = kin/4 – xl + c 3.5(3x+2)*dx = k(3x + 2)5+C
Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line to yasinx at x-0. 3. Find the points where the tangent line to the function fix)-2x+3x2-12x+4 is horizontal.
Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line...
Problem 11.5. Find the Fourier cosine series of the function f(x): f(x) = 1 +X, 0 < x < .