Consider the following inner product R?. on ((T1. Yı), (T2. Y2)) = ax122 + by,Y2 If ||(1, 3)||² = 21, (1,3) 1 (-6, 3), a + b =?

Q: verify that (AB)C = A(BC)

A: Given matrices:

Q: Let ū = (-1,2,4) and ū = (-3,5, 2). Compute the following: (a) ū+ū (b) .공 (c) ||해 (d) ũ - 7 (this is…

A: (a) Find u→+v→ as follows: u→+v→=-1,2,4+-3,5,2          =-1+-3,2+5,4+2          =-4,7,6

Q: 19find all zeroS fx)=x3 +Hx*tX +H

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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: m) Linearize : -3x 天ェ_= around %31

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Q: 2. Show that (a) Re(iz) - Im z; = (b) Im(iz) = Rez.

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Q: 1 Evaluate using Convolution theorem : L

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Q: (a) A = [í 21 B = R s c= D= -2 -5. 4 = G ) B= = L, ) = 5[ -3 -5 (b) A = [; ) B =[ D = 5 -11. -5]

A: Givena)A=2112, B=-30-2-5 , C=-2-402, D=0000.b)A=1114, B=-3-50-11 ,C=19-110 , D=-55-20-25To find All…

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: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

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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: 4. A right triangle has vertices (-2,5), (-2,–3) and (4,-3). Find its area and perimeter. does -8 .7…

A: Given : Triangle of co-ordinates (-2,5) , (-2,-3) and (4,-3)Side length of triangle:a=8   b=6   so…

Q: A Find a numbel z That satisfies The condubion g af The MUT I dx= 9 4 -4 O -a 0-15

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

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

Q: 2х1 + 3x2 — хҙ — 2 Зx1 — 2х2 + Xз — —1 -1 %3D -5x1 4x2 + 2x3 = 3

A: Consider the provided equations, 2x1+3x2-x3=23x1-2x2+x3=-1-5x1-4x2+2x3=3 Solve the above equation by…

Q: Find the product. SHOW ALL WORK clear 10

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Q: Find the form of yo to use in the method of undetermined coefficients v+5V tây e + xe a. Ae* + Bxe²x…

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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: (2VZ cV4z-x2 Evaluate S" dydxdz

A: This question is taken from the calculus in which we have to find the triple integral of the given…

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: how did the y' and 2y' apearred out of no where in line 7

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Q: can you explain more about how you get fxx, fxy, and fyy

A: Given: The given function is Px,y=e9x+10y-x2-y2-33. Also,  Px=9-2x·e9x+10y-x2-y2-33…

Q: 2. Show that if a]b then a'|b² for all integers a and b (Symbols V, 3, A, V, V,A,→,-)

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Q: ) find w=4 +iv if the function. in term of 2 is f(z) = (Z-32²) (2z+i)

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Q: 7. Show that (a). (Z, +) # (Q, +). (b). (Q,+)# (Q\{0},.). (c). (R\{0},-) # (Q\{0},.). (d). (R\{0},-)…

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Q: 23) Expand: 2r(x² +1)-(x² + 5x - x - A) x² - x² - 3x - 7 B) x* + 2x² - 3x -7 C) x² +x² - 3x +7 D) x*…

A: The given expression is2xx2+1-x3+5x-x4-7 expand the given expression and then simplify to obtain the…

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

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Q: Need c) only use product rule 3. Differentiate. a) M(u) = (1– 4u²)(u+2) b) g(x)= (-x+ 3)(x- 10) c)…

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Q: What meaning can be attached to this cross product: r the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

A: The cross product of two vectors A→ and B→ is given by; |A→×B→|=|A→|×|B→|×sin θ And the cross…

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

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Q: What are the zeros

A: