Let V = span{e2", xe2", x²e?=}. (a) Show that (a1e2a + a2xe2" + a3x²e2") e V for any a1, a2, az E R, (b) Let and 0 represent the functions e2", xe2a and x?e2a, respectively. 3 For example, 4 represents 3e2a + 4xe2a + 5x²e2«. Find the matrix of differentiation as a linear transformation on V.

Q: The domain of a quadratic function is (-o, x). O True O False

A:

Q: For what value of x is f ( x ) = 10 ? ( - 1, 6 ) ( 2, 8 ) ( 3, 10 ) ( 5, 16 )

A: We have to select one option which given 10 as the value of f(x) on putting value of x

Q: Evaluate f, Iz2 – 4| dz

A:

Q: what is the domain of g(f (x))?

A:

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

A:

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

A:

Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is (fo g)(x) if f(x) = 2x + 3 and g(æ) = ? ㅇ (fog)(x) =D 글2 +를 3 ㅇ (fo g)(#) = #z+ 을 ㅇ (fo g)…

A: See attached file for a step by step explanation to find the required composite function.

Q: Let f (x) = 1(1 2 2 +4. Evaluate f(-8). f(-8) = Number

A: Given f(x) = -½(½)x + 4 We have to find f(-8)

Q: 6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c)…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: what value of x is f(x)=6 f={(2,5), (6,5), (3,4), (-1,6)}

A: fx=6 & f=2, 5, 6, 5, 3, 4, -1, 6

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: APQR = R R(R(AABC)) Given the fact that the coordinate plane below, which single-transformation and…

A: Given: Triangle ABC…

Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

A:

Q: What is the domain of y=v(x+2)-5? [-5, 0) O (2, ) O 1-2, )

A:

Q: (1) f(4x³-9x² + 7x + 3)ex. dx = A) e *[4x³ + 3x² + 13x + 16) + C B) -e [4x³ + 3x² + 13x + 16] + C C)…

A:

Q: What is (go f)(x) if f(x) = 2x + 3 and g(2) = ? ㅇ (go f)(z) = 블z+ 를 %3D ㅇ (gof(z) = 블로 + 3 ㅇ (go…

A:

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.