Q-1- Answer each of the following as True or False a) If 4-2 +2 - b) If v₁ = (1,2), v₂ = (3,4), V3 = (−1,0), then u = V₁, V2, and v3 where u = 2v₁ – 2 V₂ — V3. c) If A² th _], then x = 3, y = 2, and z = 1. justifying your answers = A, Then I - 2A = (I — 2A)¯¹. (6,8) is a linear combination of

Q: If u = 7i - 2j+3k and v = -i+3j + 5k then Proj,v is

A: Given, u=7i-2j+3kv=-i+3j+5k

Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: f1- estion 1 of 23 The functions f and g are defined by f(x) = %3D .le + 피 and g(x) = 5 - x 4,…

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Q: 2) -3x + y = 23 A) (4,1) C) (-8, -1) B) (-4,-1) D) (1,4)

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Q: [t +3 If A = -1 6. t- 3 -6 one of the following must be true? 1 t+ 4] A) The rank is 3 ift#-4, B)…

A: Rank of the Matrix, and it's properties

Q: 7. f(2) = -3, g(2) = 2, f2) = 4, g(2) = -5 a) If h = 0, use the values above to find h) 9(x)

A: 7. f2=-3, g2=2, f'2=4, g'2=-5

Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: Given w= (-3, 11), s=(-4, – 5), and r= s= (-4, - 5), and r= (4, 9), find 3r- (w+s). 3r-(w+s) = (|

A:

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

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Q: if u=3i+2j and v=-5i+4j determine 3u*2v

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Q: 1-3у 2у - Зу? 1.

A: Given: ∫1-3y2y-3y2dy

Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

A:

Q: Express u= (15,46) as a linear combination urv + sw, where v (3,9) and w(4.13). (Use symbolic…

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Q: Find the value of ZA (0, 1, 4) - - (-24,-2x, 92) dr I= -8 (-1, 4 ,0) BY O a) I = O b) I=2 O c) I =…

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Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: = Suppose (3, −1, −2), = (-1, 1, −4) and w = . 9. 9. v.w= 9. v. v= ū⋅ (v+w)= . 9. (5, 1, 1). Then:

A: For any query with the solution, please ask in the comment box.

Q: Given the graph of the hyperbola choose its only correct implict equation below. 8 (-2, 6) 6. (2, 6)…

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Q: Find the midpoint of AB if A(-3, 8) and B(-7,-6). O (-5, 1) O (1,-5) O (1,5) O (-5, 2) Previous Next

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Q: Ex. Show that V1 = 3i + 7j & V2 =i++1)j a %3D %3D are equal ?

A: Simple vector problem...

Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

A:

Q: Use the substitution u = √x+9 to evaluate =(√x +9) * +c ² / (√x +9) ²¹ +C 1 / (√x +9) ²+ + C =(√x+9)…

A: By using substitution u=x+9 to evaluate ∫x+93x dx.

Q: у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

A:

Q: [2 4 21 A = l1 3 1 1 1 B = -2 -1 [2 4 D = 4 C = 1 3 21 -1 %3D 2

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly  C = AD = -B

Q: Find N2 A 21 N 2 p(v) B, ) = N`, p (ν) Β..) A 31 Haitha.

A: We have to separate N2 from the equation

Q: 9) /(x) = 3 · -8 -6 -4 -2 | x + 1 20 18 14 1 12 10 8 ଣ 4 + 2 2 4 6 X

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Q: be the sets B1={u1=(-3,0,-3),u2=(-3,2,-1),u3=(1,6,-1)} B2{v1=(-6,-6,0), v2=(-2,-6,4),v3=(-2,-3,7)}…

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Q: Evaluate ſ /9 – 4æ²dx O a. 을sin-1z+ 를v9-4z2 + C O b. None of the following Oc 을cos-1 z+ 를 v9+422 + C…

A: Hence option (b) is correct.

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

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Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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Q: ) = Zzz 2(러)(2-3) Find XCK) is X(2)

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Q: 11) Find x if ST=x+3 and SU=2x/

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Q: 3). B = (2 1 (5 1 and C = -3 :), find (a) Given that A = 7 3 -1. ЗА + 2B — С

A: