2x* + ax + b Part A: Consider the function f defined over]-0; 2[ U]2;+«[ as : f (x)= where a x- 2 and b are real numbers. Designate by (C) its representative curve in an orthonormal system (0,1, j J-

Q: The functions f₁(x) = x² and f(x)=x³ are orthogonal on the interval [-3,3] ? True False

A:

Q: Find the point on the graph of z = f(x,y) =x+ y closest to the point (2,2,7). You must show a…

A: Given : z=fx,y=x+y2,2,7.

Q: Give a geometric description of the set of points whose cooridinates satisfy the given condition x^2…

A: Given that a set of points whose coordinates satisfy the given condition

Q: of have Σ f(m). nez ory" + HAIF bo turn food (A-LAI) - (A) A

A:

Q: Determine the transformed points on g(x) from the given points on f(x) (-2,1), (1,4). only…

A: I apologize for not being able to provide a handwritten solution according to Bartleby guidelines.To…

Q: Determine whether or not T = (6,-3) belongs to the null space of A' if A 1

A: the answer is

Q: Let q = - 2xy - y² + 2xz+2yz + z² be a quadratic form on R³ viewed as a polynomial in 3 variables.…

A: To find the canonical form of the quadratic form using Sylvester's law of inertia, we need to…

Q: A = (a, b, c, d] X= [1, 2, 3, 4} Select the definition for f that is a well-defined function. O 1) f…

A: Let, A and X be two non empty sets. A function f: A -----> B is an assignment in which each…

Q: If A = 3a_0 + 2a_0 - 5a_z and B = -2a_p + 3a_0- a_z are given at points P(3,T1/6,5) and Q(4,T1/3,3)…

A:

Q: tput. Demand is p= 650 - 2Q. e profit-maximizing price and output for the monopolist. aximizing…

A: In the given question, the concept of maximization is applied. Maximization The critical points of a…

Q: x-r,xe[0,7] ²x, x = [0, π]. √√3 f(x) = -sin² x 2

A:

Q: Let T be the linear map from P2(R) to itself defined by T(f) = f(x)+f'(x)+f''(x). Compute the…

A:

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.