Determine if the following objective function f(x) = 2x} + x + x}x} + 4x1x2 + 3 has local minima or maxima. Classify each point clearly. An obvious solution: (x,,x,)=(0,0) Another solution: (x, „X2) = (0.654,–0.916)

Q: A company's revenue (in 1,000's of dollars) can be shown as R(x) =-×^2 + 15x + 10 and cost (in…

A: The given revenue function:R(x)=-x2+15x+10The Cost function is:C(x)=4x+34

Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

Q: use f (x) = 5x+2 and g (x) = x-3 to find (f+g) (x) a. 5x-1 b. 5x^2-6 c. 6x-1 d. 6x+5

A:

Q: The curve defined by the function f(x) = ax^3 + bx^2 + 29x - 20 intersects the x-axis at three…

A: The curve defined by the function f(x) = ax^3 + bx^2 + 29x - 20 intersects the x-axis at three…

Q: Q2\ find the domain and range of the given function x2 + x f(x) = х3 — 9х2 2х

A:

Q: Given f(x)=x^2+3x and g(x)=5x-7, determine the equation of each combines function given below.…

A: Given:

Q: Let f(x) = 3x– 5x + 13 and g(x) = 2x- 7. what is g (f (x)) 6x2 – 10x + 19 1222 - 89x + 160 3x2 - 3x…

A: Given:     To determine: g(f(x))

Q: A ball is thrown upward and outward from a height of 7 feet. The height of the​ ball, f(x), in​…

A:

Q: If f(x) =x^2 +x+1 and g(x)= x-5, find the following. g•f

A: The functions are given by f(x) = x2+x+1 and g(x) = x-5 To evaluate : The expression for g∘f

Q: Find the value of g(x)=√x^2 - 2 if g(x)= -3.

A: find       g(x)= -3.

Q: Find both of the two x intercepts of the function F(x)= (x-3)(x+7)/x(x-5) Smaller intercept = Larger…

A:

Q: f(z +h)-f(z)

A:

Q: Write the equation of the quadratic function f(x) that satisfies all three properties below:…

A: A quadratic function f(x) satisfies all three properties below:1) contains the point (5,-3).2) has a…

Q: _6. If f(x) = 18x² and t(x) = 8x, find_£(x). t %3D а. 9х 4 b. 4x 9 c. 4_ 9x d. 9 4x _7. When f(x) =…

A: Topic :- Functions

Q: Which ordered pair fits the function h(x)=x^+2?

A: Given, h(x)=x2+2

Q: Find the domain and range of the function f(x)=√12-3x^2

A:

Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.