are Exercise 11.2.2 On C[-1, 1], which of the following functions orthogonal to each other? fi(x)=x, f₂(x)=x², f3(x)=x²-x, f4(x)=1-x4.

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

A:

Q: The linearization of f (x) = x² based at 3 is L (x) = [ Select ] [ Select ] (x - [ Select ] Done […

A:

Q: Determine whether the given set of functions is linearly independent on the interval (-o, ∞). f1(x)…

A: The solution is given as

Q: A function f(x) = v1 – x² is

A:

Q: Solve the quadratic equation x-x-563D0. a. Graphically b. Numerically c. Symbolically

A: We graph the function And find x-intercepts x-intercepts are -7 and 8 Answer: x=-7 and 8

Q: 19 THE SET OF Funспопо f₁ (x) ex+2 LINEARLY DEPENDENT OR LINEARLY INDEPENDENT ON (-00,00) = AND…

A:

Q: Determine whether the given set of functions is linearly independent on the interval (-∞, ∞). f₁(x)…

A: The given functions are

Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)

Q: In each of the following, determine whether

A: We have to decide whether y is a function of x or not.

Q: Determine the domain of the following functions: За — 6 a) a(x) b) b(x) = /5 – x c) c(x) = 3x4 –…

A: We can find the domain of the given functions as below.