Question 2 Write the function f (x) 3x2 36x+ 14 in the standard form f (x)...
(1 point) Consider the function f(x) = -22% + 36x? - 162x + 10. This function has two critical numbers A <B: А 3 and B 9 f"(A) 36 f"(B) = -36 Thus f(x) has a local -206 and a local 10 at A (type in MAX or MIN) at B (type in MAX or MIN).
Please help me with these questions. 1). Let f(x) = 3x2 + 2 and g(x) = 3x − 3. Find the function. (g ∘ f)(x) 2). Write an equation in standard form of the circle described. Ends of diameter at (−2, −2) and (4, 6)
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.
Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
The function f that satisfies f'(x) = 3x2 +1, f(2)=5 is Select one: a. f(2)=23+ O b. f(x) = 2 + 1 - 5 O c. f(x)=x3 ++2 d. f(x) = 3x2 – 7 O e. None of these. Let f(2) be a function that is continuous on 1, 7] with f(1) =3 and f(7) = 9. Then the Intermediate Value Theorem guarantees that Select one: O a. f'(2)=1 has at least on solution in the open interval (1,7). O...
6. Write the quadratic function f(x-ar' + br + c , a * 0 İn vertex form f(x) = a(x-h)' + k using e fo rmulas for h and k in terms of the procedure of completing the perfect square and provid parameters a, b, and c. Solve the equ formula. Factor the quadratic expression ax+br+c in terms of the solutions x, and x, of the quadratic equation. Write equations expressing the relationships between parameter a, b and c and...
Find all the critical numbers of the function. f(x) = 2x2 + 3x? - 36x + 10 O A. -2 OB. 6 O C. -3,2 OD. 3, -2
Question # 1: Find all local and global optima of f(x)-x3-10.5x2 +36x + 15 on a) IR; b) [0, 3 c) [3.5, 6]; d) [-4, 10]. e) Check your answers using MATLAB. Question # 1: Find all local and global optima of f(x)-x3-10.5x2 +36x + 15 on a) IR; b) [0, 3 c) [3.5, 6]; d) [-4, 10]. e) Check your answers using MATLAB.
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =