123 A = 3 4 5 Given matrix A above, what is At?

Q: 4-Vx lim х-16 16х-х2

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Q: Express (3-5i)(1+i)/4+2i in the form of a+ib.

A: Let  Z = a + ib

Q: Evaluate the integrals. If the integral diverges, answer "diverges." 375. dx

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Q: Find the Laplace transform of the given function: f(t) = (t – 7)us(t) – (t – 4)u7(t), where uc(t) de...

A: We have ,  f(t) = t - 7u4(t) - t - 4u7(t)   , where , uc(t) is Heaviside function. We know that, Lf(...

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,. Justi...

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Q: Show that if n is an integer and n³ + 5 is odd, then n is even using a) a proof by contraposition. b...

A: Proof by contradiction and contraposition

Q: Tyler’s bag of shells weighs 4.97 pounds. He finds 2 stones that weigh the same as each  other and a...

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Q: 4 Find the dot product of [6 -2 3] -1 and 2

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Q: 9. G(t) = e2-t U(t - 2)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 8th question.  Please s...

Q: 2. At an interest rate of 2% per month, the money will double in value in how many months?

A: The compound interest formula for an amount P compounded per month at a rate of r% for n months is g...

Q: Evaluate the Laplace transform of the following: sta 1. Prove: L{e-at cos kt} = using the integratio...

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Q: Use the inverse method to solve 2.x1 + 3.x2 = 3 5.x1 + 4.x2 = 11

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Q: What is the decimal fam - 2 -6 2. x 34 33늘 % Das Fu ன் த ச ம 2-2 -2 2. 2x 2 X 2 3X 3 4 x 3 2 2X2X2X

A: Given a 8-2b 2-6×34c 3312%

Q: Find the average rate of change of the function from t1 to t2.

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Q: Using integration by parts, find the Laplace transform of the given function; n is a positive intege...

A: Given f(t)=tneatwhere n is a positive integer and a is real constant. We have to find the Laplace tr...

Q: The approximation of I = xe" dx using Simple Simpson's rule is:

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). Simpson's rul...

Q: prove that C+Ã +3 C+A +B ARC Using the truth table

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Q: Consider a solid with uniform density bounded above by the sphere x^2 + y^2 = 1 and bounded below by...

A: The given problem is to find the center of mass of solid with uniform density bounded above by spher...

Q: Use generating functions to determine the number of 9-digit sequences of the digits 1,2,3,4,5,and 6 ...

A: We need to find ,  number of 9-digit sequences of the digits 1,2,3,4,5,and 6 in which each even digi...

Q: Elements that are in the universal set but not in the set A, are members of the set called, of A. (a...

A: Universal set : Any set that contains all the sets is called Universal set Subset:  All the elements...

Q: Translate the following stetements between predicate logic and English. (Hint: Use DeMorgan's laws (...

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Q: az – br (3) dt is given by z(t) z(0) (4) a – br(t) a- br(0) From Equations (3) and (4) show that (a)...

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts(pr...

Q: Q1/ Find all the second-order partial derivatives of the functions 1. g(x, y) = xy + cos y + y sin x

A: To find- Find all the second-order partial derivatives of the functions gx, y = x2y + cos y + y sin ...

Q: Show that if (, y, z) is a Pythagorean triple then 60|xyz.

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Q: L{S t? cos t dt}

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 7th question.  Please s...

Q: Aubrey has a shelf full of books. • Exactly 1 }3  of the books on the shelf are mysteries. • Aubrey ...

A: Let x = number of mystery books on the shelf         Let 3x = total number of books on the  shelf

Q: 4 Find the dot product of 6 -2 3] and -1 2 O 28 Not possible. O 32 O 12

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Q: Let a = (1,2, 3), b = (1,–-1, 2), c = (1,–2, 4). (a) Find (a x b) x c (b) Find (c. b)a – (c- a)b. (c...

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Q: =1 using Cauchy's Residue theorem.

A: Cauchy's Residue theorem: Let fz be analytic within and on a positively oriented simple closed conto...

Q: 5. prove that S"erf cx) dx =0

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Q: ach to solve omogeneous ential equatior

A: Given - The differential equation To find - Use the superposition approach to solve the given non-h...

Q: One of the following relations is a function from A to B : .a F={ (1,2), (2,4),(2,6)},A={1,2,3},B={2...

A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6 (...

Q: The set S contains some real numbers, according to the following three rules (i) 1/1 is in S (ii) ...

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Q: 1 + ..+ 3x5 1 Find the sum: 1x3 1997x1999

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Q: Fine the mean number 12 31 45 67 78

A: Mean number is defined as the value calculated by dividing the sum of all the values by total number...

Q: Let p,q and r be the propositions p: Grizzly bears have been seen in the area. 9: Hiking is safe on ...

A: The statement includes ''if- then'' condition which is represented by the connective →.

Q: Let A=(0, π ) υ (π e?] %3D c. Is A a closed set? d. Does A contain any isolated points? е. Find the ...

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Q: alyze his ac ds and he fou iddle of the r dy had a servi ed P12,000, be

A: Revenue in the middle of the month = P12,000 Expenses at the end of the month = P20,000 Desired prof...

Q: A market survey was conducted in four cities in Zambia in order to find out the preference for brand...

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Q: untime function f(n) E o(g(n)) if and only if, for every positive constant b, there exists a positiv...

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Q: Discount p500 for 2 years at 6% simple interest?

A: The simple interest formula for a principal amount(p) for t years at an interest rate of r% is given...

Q: The board game Dominion is a card-drafting game where the player with the most victory points wins. ...

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Q: Describe the domain of the function f(x, y)= In(6+x-y). 4. {(x, y): y<x-6} {(x, y): y<x+6} {(x, y): ...

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Q: rs can be represented

A: Non- terminating decimals, The number will never ends after the decimal is said as  non- terminating...

Q: 4. Describe the domain of the function f(x, y)= In(6+ x-y). {(x, y): y<x-6} {(x, y): y 2 0} {(x, y):...

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Q: if x < 3 G(x) = if 3 <x 9-x

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Q: Question 3 Which of the following is a linear ordinary D.E.? 4 (d³y} 1. dx3 dy + 2 - = sin x dx + (d...

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Q: A management consulting firm has four types of professionals on its staff: Managing consultants, sen...

A: We can calculate the average of hour rate and number of hours by the formula: Mean/Average = X1*F1 +...

Q: The set S contains some real numbers, according to the following three rules (i) 1/1 is in S (...

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Q: 2 + yexy y' 2у — хеху xexy ||

A: