For each part, determine whether the set of three functions is linearly dependent or linear independent on the interval (-0, 0). • If you say lin. dep., then display a dependence relation among f1, f2 and f3. That is, fir constants k1, k2, k3, not all zero, so that k1 f1(x) + k2 f2(x) + k3 f3(x) = 0 for all x. Or, equivalently, show that one of the three functions is equal to a linear combination of the other two functions. If you say lin. indep., you arc not requircd to prove that hcrc. (a) fi(x)= x, f2(x) - х+ 1, f3(x) = x + 2 (b) i() — е*, f2(x) = xe", f3(x) = x²e* (c) fi(x)= 0, f2(x) = e¬", f3(x) = e3r

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: ch of the following relations is not a function? {(1,3), (2, 3), (3, 5), (5, 5), (6, 10), (-5, 10)}…

A: Given query is to find which relationship is not a function.

Q: what is the equation of the following linear unction f(x) through the points (-5, -2 and (7,-3)

A:

Q: 1. Which of the following represents a function? A. 3 5 8 12 16 B. (0,2), (-1,3), (-1,-3), (-2,-5)…

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Q: (a) Suppose f:R³ → R² is a function for which and Could f be linear? Why or why not? (b) . that…

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Q: Create a Piece wise function using these 3 points ( 14,2) (22,4) (35,4)

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Q: y x3 - 2x*-5x + 2

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Q: If f (2) = a + 2, then evaluate f (20).

A: The given function is  f(x) = 12x +2

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Q: Find the continuity of the function Of(x)= tx²+3 と+ とく3 5x-3 at =t

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Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² y =…

A: We have to differentiate following functions using chain rule: y= x(x2+3) 2 y= (4x-10) 4 y=…

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A: The graph is shown below:

Q: For the function f = {(1,6), (2, 16), (3, 22), (4, 29)} find the following : 1. f(3) 2. f(16) 3. The…

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Q: The one-to-one functions g and h are defined as follows. g={(-5, 8), (2, −7), (7, 4), (9, 7)}…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.