4 -3 2 -2] 0 6 7 -9 0 -3 5 0 4 -1 3 2. Given A = m and B=[-3k 4k –1 k+3 2k]. (a) If det A = 6, find the value of m. (b) Using the value of m obtained in (a), find AB' in terms of k.

Q: Find r(t) and v(t) if a(t) = tk, v(0) = 15i, r(0) = 14j.

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Q: (3 + j4) (1-j) E. If x+jy find x. 4-j5 a. -0.005 b. -0.125 c. -0.454 d. -0.951

A: we know that: j2=11j=-j(a+b)(a-b)=a2-b2

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Q: Г1 о 2 4 = 0. Find x, if [x -5 -1] 0 2 1 2 0 3 %3D 1

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Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) b. y² = x²(1-1) c. y² = -x² (2+ In(kx²) 2 d.…

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Q: . Solve for x: V3x – 20 = x - 6

A: Any equation of form ax2+bx+c=0ax2+bx+c=0 is a quadratic equation as the highest exponent of a…

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Q: Let A = 2 3 4 1-3 5 Find the following: (a) (DA)T and B = 1 5 2 -1 0 1 3 24 and C= (b) 2C+C² 4] 6 -2…

A: The matrixes are :The main aim is to find :a) b)

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Q: 1/2 Find all the values of (V3 - i) – i)"½.

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Q: 14)- Consider the following formula f"(x.) = 4-4o+3f-1 _ 2hfm(c) 6h2 3 Find the optimal h.

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Q: Show your solution: Given: y'' + 3xy' + 7y = 0 Question: Which of the following is the expression…

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Q: Given Z1 =1+√√3i and Si Z2 = 2 e 6 Find 2 (Z2)² Z1

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Q: 10е 3" (1 — 5t) — 0

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Q: x+5)(x-2)2 (x-3) Select the Domain of the rational function R(x) a. (-00, -5) U (-5,2) U (2,3) U (3,…

A: To find the domain of the given rational function

Q: 16. (T/F) If A and B are 3 x 3 and B = [b₁ b2 b3], then AB [Ab₁ + Ab₂ + Ab3]. =

A: Given: A and B are  3×3 and let AB=Ab1+Ab2+Ab. To Find: Whether the following statement is true or…

Q: Show that п-2 Ag:1 = E :uk+'4æ + v"n-1Px• k=0

A: Given  Ax:n=∑k=0n-2vk+1qxk\+vnpxn-1

Q: Let f(x) = 3x – 1 and g(x) = x² + 4x – 2. Evaluate the following. - a. f(3) = 8 b. ƒ( – 1) = |-4 с.…

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Q: 12. For f(x) = -3x – 4 evaluate f(n – 6). а.) -Зп - 10 b.) - Зп + 14 с.) -Зп - 22 d.) 18n

A: We can solve this problem using function mapping.

Q: BEC zw. w-1 (iii) Arg w and arg w. -√3i. Find the following: Let z = 7+3i and w = -1 –

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Q: Given: a = 2 – 3t + y = 31 - 2 Required: , 3/", y" (Select the correct answer for each y, y", y"…

A: Given the function

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Q: (2+1) 2x + 5 (2x + 5)(2x) - (x² − 1)2 (x²-1)² - X 4x² +10x-2x² +2 2 (x²-1)² Dx || 2x² + 10x + 2…

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Q: If the order of A is 4x 3, the order of B is 4 x 5 and the order of C is 7 x 3, then the order of…

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Q: For which value of b is the equation > 2n+2 3n+l 35 satisfied, 3 5n n= 1 where b>3 ? (a) b= 4 (b) b=…

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Q: given f (2) = 3z - 6z+ j3. what is the value of u(3, 2)

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Q: 1. Given 3a = 2a = 45s Find i.

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Q: ut. (b) 710 - 76 72 (c) m*n (e) m m2 ÷ m* (f) -25A

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Q: Iron Sports have been tracking the sales of boxing bags for a number of weeks. Due to problems with…

A: Given information: Amount of money earn by company in first week = $1500.

Q: Show me the steps of determine red and the inf is here

A: Given:                xn+1=Axn+Bxn-k+Cxn-l+Dxn-σ+bxn-kdxn-k-exn-l, n=0,1,⋯ ...(1) To do: By using…

Q: d²x is dy2 15 If x = (3 2y)5/2 , then 15 А. — A. -15(3 - 2y)1/2 В. 2 (3 2y)1/2 C. - (3 2y)1/2 D.…

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Q: 2 A=[²2 1 4] IF A= 2 and B= 3 2 L3 4 31 1 2] Find AB :

A: Matrix multiplication is always done from each row to each column, i.e., row to column…

Q: Find f f(x,y) dA, where f(x, y) = x and R = [5, 10] × [-5, –4]. SSR f(x, y) dA=

A: The given function is f(x,y)=x, and the domain is x,y∈5,10×-5,-4. To Evaluate: ∬Rf(x,y)dA.

Q: 2 =[41] −1 4 If A = find (AT)-¹.

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Q: [3 5 If A= 6 1 [2 3 y B = 4 -6 7. Determines 1. A+B = 2. AB = 3. -4(B) =

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Q: [1 -1 A = 3 2 and B = 3, find (AB)T -1 5 1. 2. [-2 4] 3. 4. [-2 -4] Select the correct response: 1 4…

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Q: Q1/ Given Z1 = 1 + √√3i and Z2=2e6¹ Find 2 (Z2)² Z1

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Q: Given: A e M2x2(R). a. Given T: M2x2 (R) → M2x2 (R) as T(M) = AM, prove that rank (T) = 2rank(A). b.…

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Q: (2) The number q of roller blades a firm is willing to sell per week at a price of Sp is given by q…

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Q: Let f(k) = 7k6 + 6k - 10 and g(k) = -3k6 - 7k + 1. Find the difference (f - g)(k) %3D

A: Consider the functions are, fk=7k6+6k-10gk=-3k6-7k+1 Then, the value of f-gkis obtained as,…