Suppose [V]s₁ =2]. If B₁ = { [2] [3]} ² and B₂ and B₂ = { [ ₁ ] [ 3 ] } find [v] [V] B₂ = =

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: Find div(V), where V= (x²+y² + z²)¯²(-3x, -3y, –3z].

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Q: 1 t² √9t² - 1 dt

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Q: If m<1 = 6(3x+1)-2, m<2= 3(x+2)+9, and m<ABC= 5(3x+5)+6, find x and m<ABC.

A: Given,           ∠1=63x+1-2           ∠2=3x+2+9            ∠ABC=53x+5+6

Q: Verify that (AB)T = BTAT.

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Q: (-2y%3D 6. (2). (-8, )

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Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: KD and ZE are complementary. If mZD = 5x + 3 and mZE = 3x – 1, what is x? 081

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: Suppose [V] B₁ [V] B₂ = 7 1 3 -[-]-* *, - {{; } [³])} and B₂ - {[²][³])}; [ 2 ] = find B₂ = If B₁ =…

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Q: Express x XOR y with only AND, OR and NOT.

A: We can write-                    x OR y = NOT (  NOT x   AND   NOT y )

Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2)…

A: Domain of given function at which y(x) is defined.

Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify.…

Q: For what value of x, 3x 2х 2:

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Q: Evaluate -5у-5 dy 31. Jv+2y-4

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Q: Find |B| B= [5  0]      [0 -4]

A: Given, B =500-4|B|=?

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: (7, -8) and w=(-4,8), Given v= find v+w. v+w=

A: We know that, A vector in form of V→=a,b is represented as V→=ai^+bj^

Q: Q2. Find the inverse of 2 1 1 0 1 0 5 4 1 3 if it exists.

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Q: Find x. A (2x – 15)* (2x 15)° - C

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: For RA 3 and gx)x. find each of the following d. •ax-1)-(mplity your anawer) -ko)-Simplity your…

A: For function h(x)=ax2+bx+c    where a,b,c are constants. To evaluate h(k), replace x=k in function…

Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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Q: Determine: 1 (1 -1 2] [2 3] +0 1

A: given  1-124-1023+1001-1-1 solution we will use property of matrix multiplication and addition to…

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Given that A=6-j1 and B=2+j3, find A*B

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Q: x²dx 2. Lo x*+16 8.

A: Using integration formulas

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: Let A--5 2, B-10]. Then 2A+3B- Select one: a. [9 4] O b. [-2 2] C. [-7 4] d. (-10 4] OS Shot by…

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Q: If + =], then a d is equal to L8 L8 d.

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Q: Q6 Frud +++

A: We have to find derivative

Q: Let B = [b1, b2, b3] = -1 -1

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Q: Given that 3°x 64 and 5VP = 64. %3D [3x-1]3 Calculate, without the use of a calculator, the value of…

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