In(2 + x – 2y2 – 3z), 7 =< 1,1, –1 >, then If f(x, y, z) Duf (2,-1, 1) = - A) 11

Q: With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f +…

A: Given f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) The domain of f =…

Q: b) 4(x – 4)(x + 2)² (2x – 1)³ < 0 - -

A:

Q: If X(w) 3u-2 find F(z(3t).

A: Note: There is a typo in the choices. To solve this problem, we use the following property.

Q: Determine whether the following are linear trans- formations from R³ into R²: (а) L(x) 3 (х2, хз)"…

A:

Q: A 1. What is (go f)(x) if f(x) = 2x + 3 and g(x) = ? %3D O (go )(z) = + %3D O (go f)(x) = + } %3D O…

A:

Q: In (IR, 7sorg), if A = T. sorg :n EN and B = (2, 3) then AUB=

A: A closure is the smallest closed set containing A.

Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

A:

Q: 2. If f(x) = ((-4,4) (-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x) = {(-3,0)(-1,6) (1,-4)(3,-2)),…

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

Q: Evaluate faJ4(a)da Hint: You may use - (a-PJ, (x)) = -a"Jp+1(x), da O -x- J3 (x) + 2x 2 J2 (a) + c O…

A:

Q: Let B = a = The function p(t) = 2 + 4(t − 5) + 7(t − 5)², can also be written as p(t) = a + b(t − 2)…

A:

Q: -2 3 A = :), f(x) = -4x + 2 5 3 ON(-20 10 -12 -10 0 3 OB ( ) 8. -10 -12) -18 35

A: Here we will find f(A),

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Find x, y, z, and w. x y z 8 (x + 7)] = [ (2² (2x - 3) X -1 W (9 + y) -8

A:

Q: verify that (A + B)T = AT + BT

A:

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=2x+5 t(x)=3x…

A: Step 1: Given functions: s(x)=2x+5, t(x)=3xwe have to find the expressions: (s⋅t)(x), (s+t)(x), and…

Q: Find the equations of the asymptotes of R.

A:

Q: Show that &lt;a, b | a5 = b2 = e, ba = a2b&gt; is isomorphic to Z2.

A: To show that the group &lt;a, b | a^5 = b^2 = e, ba = a^2b&gt; is isomorphic to Z2, we need to…

Q: 13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical…

A: Critical points are points where the derivative of the function is 0 or undefined. To find the…

Q: If f is invertible and f(- 15) = 6, then %3D | f-(6) and (f( – 15))¯ -1 %3D

A:

Q: Show that is isomorphic to Z2.

A:

Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

A:

Q: 10, 14, 16, Page 52. Find the real and imaginary parts of the following functions: (a) f(z) = −3z +…

A:

Q: IF fx) = (1 - x) and g(x) = 9 - x, find fg(x)) and g(fx)). Ag(x)) = 9(Ax)) =

A: Given that:           f(x)=(1-x)2 and g(x)=9-x Find f(g(x)) and g(f(x)).

Q: 2. Transform this LP into its DUAL counterpart. min 3x, + 2x2 - X3 subject to X1 + x2 = 5 -1 < x, <…

A: Transform this LP into its DUAL counterpart. Our problem can also be viewed as,   MIN  3x1 + 2x2 -…

Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

A:

Q: Show that (a + b)x = ax + bx for all a, b E F and all x € F¹.

A:

Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

A:

Q: Which one of the following is isomorphic to Z4 x Z6/((2,4))?

A:

Q: 2t – 5, t 2

A:

Q: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

A:

Q: Show that &lt;a, b | a5 = b2 = e, ba = a2b&gt; is isomorphic to Z2.

A: We have to show that &lt;a, b | a5 = b2 = e, ba = a2b&gt; is isomorphic to Z2.

Q: Show that (AB)T and BTAT are equal.

A: Now,

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.