9. Let 3 9. A = 2 0 and B = 1 2 1 -3 1 -7 -1 1 0 Find all r E (-0, 00) such that r(A) = r(B), where r(A) and r(B) denote the ranks of A and B, respectively.

Q: Compute each of the following. b. (3)* d. (-3). f. (1)** a. (- 10) - (" 10)° C. 50 147 e. g. 4+3 5-2…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: 1. [2x 5 Find x such that 2 3-2 1-2-3 -5 4 X

A: Our objective is given below:

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…

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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: Tapoint on the function, /(x), s(-8,9). state the corresponding point on its inverse (0).

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Q: Let 5 —7: х x E хе [3, -2] —4. х —1 х€ (-2, 0) хE (-0, 3) f(x) = 7. х — 3 1 хе(-2, о) Calculate…

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Q: Consider each of the following relations (x, y) ER, where x = {1, 2, 3, 4, 5} and y E N. Which of…

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Q: Find the class equation of G= {I, a, a², ß,ßa,ßa²|a² = ß² = (aß)² = I }

A: Here first identify the number of element of the group and group itself: given that α2=β2=αβ2=1The…

Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

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Q: Compute fFdr, where F(x, y) = (5+27x², 2xy) and C is a line segment from (0, 0) to (1,2). (Use…

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Q: .Let f, g andh are three functions defined as below : f: R>Rf(x) = 4x² – 4, - g. R→R8 (x) = V-5x+…

A: Given  f(x) = 4x2-4g(x) = -5x+1h(x) = 2x-5   a) fog(x) = f(g(x)) = f(-5x+1) = 4-5x+12-4 =…

Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: 2 For 1 X+ 1 and g(x)=, find b. the domain of fo g a. (fo g)(x): a. (fo g)(x)= (Simplify your…

A: Answer: (fog)(x)=2/(x+2)

Q: II. Identify the main operators in the following statements. 1. (U• -P) > (Q v L) 2. -K = (L v -M)…

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Q: What is the relations (5)/(8) and (8)/(10) Drag and drop a tern

A: Ok

Q: Find the product between (432), and (43), 5

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Q: 7. Find the function U, whose first difference is *C

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Q: 3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.

A: The given vectors are:  u=3-30, v=22-1, w=114. (a) To show: {u,v,w} is an orthogonal basis. (b) To…

Q: Find all relations from S= {1,2} to T = {4,5} Find all functions from R = {2,3} to S = {4,5}.

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Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

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…

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Q: (1+a-c), (c) ₂F, (_n,‚a+n;c;1)=(-1)" !

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Q: X2, ..., Xn, y1, y2, ..., yn, then z is equal to x (A) x + y (B)*+ỹ (C)*+ÿ n (D) x + y 2n

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Q: 2-2x find (fif) G) to use f Cx) = x

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Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

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Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: [1 3 0] If A = 1 2 1, then the Accompanying worker for Lo 1 4] 1. (a2,) | A. -4 В. -12 2. (a32) 3.…

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Q: 事 f(x42y,4ェ) 3. If Zx-XZy 2,ー =!

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Q: (4 ) Let A = P{1, 2, 3, 4}). Lêt f, ĝ and h be the f:A A defined by f(X) = {1, 2, 3, 4} - X. g:A N…

A: We will directly write the image of the functions using the given definition and will use the…

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.

Q: D A B D Zax Zo Z₂ Z₂ x Z₂ ({0},+) E Z₁ Which one of the following is isomorphic to Z4 x Z6/((1,1))?

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Q: 5) Let g(t) = each of the following: 8 +2v£ be a real-valued function. Evaluate t a) g(4) b) g c)…

A: Given g(t)=8t+2ta) g(4)=84+24           =2+24           =6