The set of functions {sin nx}, n = 1, 2, 3, ... , is %3D orthogonal on the interval [ -n, n]. Show that the set is not complete.

Q: Let u =(5,5,0) and v=(,5,5,(5sqrt2). Compute |u*v|

A: Approach to solving the question: Detailed explanation: Examples: Key…

Q: cide whether the following function is one-to-one and whether it is onto. Then prove your answers…

A: In this question, concept of one-one function is applied. One-to-one function The term "one to one…

Q: Suppose f is a function defined and continuous on the open interval (a, b). Suppose g is a function…

A: Given that: f is a function defined and continuous on the open interval (a, b).g is a function…

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 - 6x2 - 36x + 5, [-3,…

A:

Q: How many injective functions have domain {a,b,c} and codomain [100]?

A:

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: Prove there does not exist a continuous function which maps the closed interval [0, 1] onto the open…

A:

Q: Driblem 3: Consider the function flx)=x3-3x+2 on the interval [-2,2]. ) Verify that f on E2,27…

A: The objective is to solve the above question.

Q: 2.) Determine the set of points at which the function is continuous. а. F(x,у) — 1+x²+y² 1-x2-у? ху…

A: Here, to find the set of points at which the function is continous.

Q: 7. has a fixed point. ) Prove that if f is a continuous function from [2, 5] to [2, 5], then f

A:

Q: Let φ1(x) = 1, φ2(x) = x/|x|, φ3(x) = x^2 − 1/3 for −1 ≤x ≤1. Show that (φ1,φ2,φ3) form an…

A:

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: Let F ~ F4,5. Assume c₁ satisfies P(F > c₁) = 0.05 and P(F< c₂) = 0.05. Then, c₁ =_ and C₂ = (b).

A: It is given that F∼F4,5 c1 and c2 are two constants such that P(F&gt;c1)=0.05 and P(F&lt;c2)=0.05

Q: f (х, у) — г? + ху + у? — 10 + 10у + 40

A: Explanation of the answer is as follows