2. By SSS Similarity Theorem A A МА If RP 몸 Then ARCP- A R 00

Q: Question 5: If a = ~q and KB = (p (q v r) ^~p, prove using the analysis method (proof based on…

A: We know

Q: 14.Let A= 3+2i 0 2 1+i 1-i B-( + ?) and B= Find AB.

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Q: 3K) (9+SK)() 72 lim > 3 1+-k in 10. 2. 72-00 k=1 A. 78 В. 26 С. 10 D. 8

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Q: Prove the following: If ā and b are in R', then (5 -a)×(5 +a)=-2(āxb).

A: Given a⇀ and b⇀ are in R3. To prove :  b⇀-a⇀×b⇀+a⇀=-2a⇀×b⇀

Q: 17. -4 Compute and compare u•v, u|2, Ivl2, and Ju +v2. Do not use the Pythagorean Theorem. Let u= -…

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Q: Draw the Venn diagram with the following information: ANBNC={√2, √-1}, (ANB) NC'={2%, 00}),…

A: Here we eight disjoint parts , putting into them we can construct ven diagram

Q: Suppose the conjugate z is equal to the reciprocal 1/ z. What are all possible z's?

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Q: Find the cofactor of the element a13- -2 -1 0 5 4 2 3 5 O A. 3 О В. 19 ОС. -3 O D. 14 3.

A: Given a square matrix, the cofactor of aij is denoted by Aij=(−1) ^(i+j)M where Mij s the minor of…

Q: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:

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Q: 14. Show that p q and (paq)V-PA) are equiv- alent.

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Q: 4. a. Find zx + Zy: given that z(x, y) = tan(x3-3x?y2+2y4) V9-х2-у? b. If u then show that x ди дх…

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Q: b) Describe the points at which the function describes the different pieces of the function. c) Is…

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Q: What is the ALGEBRAIC RULE for REFLECTION over the line y = x? (х, у) —

A: This question is related to reflection of coordinates, We will solve it using given information.

Q: 3 3 Prove that 2. j=l k=1 Ey =1 if ijk = 123, 231, or 312 Eyk -1 if ijk = 321, 132, or 213 Eyk =0 if…

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Q: fcy I54+42 +28 -2ラ 28 6-42 16 と3 Find the Of Y vaniance

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Q: y (0, 2) (-5,0) a. - 5x + 2y = 10 b. 5x-2y 10 C. -2x+ 5y= 10 d. 2x-5y = 10 %3D

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Q: (z + y)? 12. Prove: I = y if and only if ry Note, you will need to prove two 4 "directions" here:…

A: Case1: Prove, x=y if

Q: 3 of u(a,9) = Cof"( 4y Cof' (+y then provethat ace +4u + Sin2ce=0

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Q: 7. Find a pair of integers (x,y) such that 4021x + 2014y= 1.

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Q: Question 4: If a = -(~p v ~r) and KB = (p v q)^(~q vr), prove by the analysis method (proof based on…

A:

Q: 25) Which notation describes the translation of the sailboat B(70, 20) to the lighthouse B'(10, 80)…

A: Given: B70,20, B'10,80 For reaching from point B to point B', we have to use operation x,y⇒x-60,…

Q: In ADAT, mZD = 8x – 6, mLA 5z + 12, and m/T = 7x – 26. Find z and mZT. (Hint - Draw a picture…

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Q: 2) 4= -4x required: a) Fih d the value of Y iF X=1

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Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: Find the stundand matices * and a for ToT,OT and て:→ド,1)- (-3y, fn + 3) T:→ド, 1.(4)): (J,)

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Q: EXAMPLE 4 If u = x°y + y?z5, where x = rse', y = rs?e"t, and z = r?s sin(t), find the value of du/ðs…

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Q: The second sheet of the spreadsheet linked above contains the scores of 50 students on 4 different…

A: Given: Student Exam 1 Exam 2 Exam 3 Exam 4 46 96 83 36 83

Q: if v=[1:2:10]; then v= * O 13579 O 124810 246810 None of the above if v=[15,8,-6]; u=[3,-2,6]; then…

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Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: 1 -1 2. Let A = and u = 3 -3 -5 -3 (a) Is u in Col(A)? (b) Is u in Nul(A)?

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Q: What is the general solution for a (x³ – 1)10 dæ? 1 (a – 1)" +C O 10(23 – 1)° + C o 1 (2³ – 1)" +C…

A: using method of substitution

Q: Let a + 0. Assume that (5A – 3B) = I with | 1 2 3 A = 0 -4 -7 . Find ) 11 -1 the (2,3) entry of B.…

A: The given matrix is,A=1230-4-7011-1

Q: 1 2 Y = -1 x = 3 using a. (x, y) := x'y %3D 2 1 b. (x, y) := æ' Ay, A:= 1 3 -1 -1 2

A: