Prove the following: If 0 < a < b, then lim,∞ (a" + b")" = b. %3D Civen L

Q: Q2. The differential equation +p(x)y+q(x)y² = r(x) is known as Riccati's equation. If one particular...

A: Introduction: The first order differential equation dydx+pxy+qxy2=rx is referred to as Ricatti's equ...

Q: QUESTION9 Consider the Binary search tree below. A node containing data 10 is inserted. where the no...

A: In a tree diagram, the elements of the tree are called nodes. The line connecting the nodes are call...

Q: x1 - 12 + 3r3 3x1 – 3x2 + 13 2 -1 = 3

A: Introduction: There are many methods that are used to solve a system of linear equations by using ma...

Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2

A: Given: x3dy+xydx=x2dy+2ydx; y=e when x=2 To find: Solution of given differential equation.

Q: Each year, 50% of the people from City A move to City B, and 30% of the people from City B move to C...

A: We have to find the population of two cities after 2 years.

Q: Question 2 (a) Let U be the set of the total number of students at a school, A be the set of student...

A: Brief answer is given below.

Q: Find the 3 × 3 matrix that produces a translation by (8,7) followed by a reflection through the x-ax...

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Q: 3 %3D 我一

A: 935÷1214 change the mixed fraction to improper fraction 485÷1214 change the division sign to multipl...

Q: The table below shows the speed-time change of an athlete in a 20-m period. The runner's speed is gi...

A: Given, I=∫020v·dt The integration is performed using the trapezoidal rule and Simpson Method.      

Q: Question 2 (a) Let U be the set of the total number of students at a school, A be the set of student...

A: A Venn diagram is an illustration that uses circles to show the relationships among things or finite...

Q: Question 3. Let u = (1, 1, 1) E R³ and denote U = span(u). Let W = {(x1, X2, 13) E R³ : ¤1+ x2 + x3 ...

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Q: The space X = {0,1} with topology T = {0, {1}, {0, 1}}) is To but not T Select one: O True O False

A: Discrete spaces are always T0 , So X is T0 .  A space X is a T1 space if and only if  for each x∈X, ...

Q: Define the binary operation in the set of rational numbers as: a*b = ab+a-b Which of the following ...

A: Given,           a*b=ab+a-b

Q: Test the given argument for validity. d→r (bnc)→d anb r

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Q: A lighting designer created a program for the opening of a stage show. When the show starts, 10 ligh...

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Q: 8*+9 = 32*-3 3(4x-1) = 4(x+3) (round to two decimal)

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Q: Consider the following two ordered bases of R: {(0, 1, 1) , (0, 2, 1) ,(-1,1,0)}, {{-2, –1, –1) , (–...

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Q: #I The quotient of 50 and 3 is a little more than: a. 17 b. 140 С. 150 d 15

A: The quotient of 50 and 3 is: 503 Divide 50 by 3: Therefore, 503=16+23. Hence, the quotient of 50 an...

Q: Cave paintings were discovered in Bandelier, NM. The paint contained 28% of the original carbon-14. ...

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Q: The following is the UPC for Celis Ale Grand Cru. Find the missing digit. (Show your work) __       ...

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Q: 4 -1 1 X1 100 -1 4 -1 1 X2 100 -1 4 -1 X3 100 -1 4 100 1 -1 4 X5 100

A: Introduction: Every system of linear equations can be transformed into matrix form. The matrix form ...

Q: Given set A determine if the following statements are true or false. (Enter T for true and F for fal...

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Q: handwritten solution

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Q: Write your answer as a fraction using / to show division. Simplify the answer completely. The chart ...

A: To find the probability that G38, G39, or G40 are selected, it is required as,

Q: 2. sir

A: I am solving the first question as per guidelines . Please repost the remaining  question. Given ∫si...

Q: The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpi...

A: The first figure of the Sierpinski triangle has 1 shaded triangle. The second figure of the Sierpins...

Q: Which of the following function

A: Introduction: The formula for the Maclurin series is given by, f(x)=f(0)+f'(0)1!x+f"(0)2!x2+f'''(0)3...

Q: ind the selling price of a DVD set which costs Rs. (2113) and the markup is 30% on cost. What is the...

A: The cost price of the DVD set is Rs 2113 The mark up is 30 %  therefore the selling price is given a...

Q: Q: Solve the system of equations if consistent by Gauss Jordan method. x + 2y - 3z = -2 3x - y -  2...

A: We have to solve the given system of equations using the Gauss Jordan method. For this, we have to w...

Q: IFA = : ) and B = ( 3 If A = 4 5 10 find -2 -5

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Q: t the three numbers be x, y, and z. Then x + y + z = 370 3 is can be rewritten as z = 370 V 370 - x ...

A: Introduction: The partial derivative is used in vector calculus and differential geometry. In mathem...

Q: Insert 5 geometric means between 3 and 192.

A: The nth term in the geometric progression is defined as tn=arn-1, where a is the first term, r is th...

Q: Find the inverse of the given matrix using adjoint method and check your answer by performing the id...

A: 1st we have to find determinant of given matrix .If determinant is non zero then inverse of matrix w...

Q: 18. 9y" – 6y' + y = 0, y(0) = 3, y'(0) = 1 %3D

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: (a) g: Zg → Z6 defined by g(n) = n 2. (b) g: Z6 → Z6 defined by g(x) =x €x. (c) g: Zs → Zs defined b...

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Q: In how many years will annuity of Rs.400 amount to Rs. 4064 at 3% p.a. compound interest?

A: The formula for the compound interest is given as follows:

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An B C C and r E B, then x¢ A – C.

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Q: Find the derivative of the function f(x) = / (x³ + 7x) by using the definition of the V derivative.

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Q: Is this function harmonic? 2x + y³ – 3x?y a. Yes O b. No O c.Not at all O d. all of the above

A: coreect option is a. YES

Q: expression is of the second degree

A: INTRODUCTION: The topic of simplification and approximation is one in every of the best within the n...

Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: [2+3i 1-4i A--si 8-4i ti -6 -4 -3+7i B-/-4-si -2. -3-i 2-3i 2i 6 -3+si 3+5i C = 8-Su 3-21 -3-i -4-2i

A: We have to add the given matrix.

Q: Sketch the cardioid r = 3 cos 0 and find the coordinates of the points on the cardioid where the tan...

A: Given polar equation is r=3cosθ

Q: (b) Consider the following Venn diagram representing three sets A, B and C intersecting in the most ...

A: The regions represented by the binary digits 011, 100 and 101 can be stated mathematically as follow...

Q: uare method to find the vertex of the function ? = 4?2 − 8? − 5 and sketch the graph with the x-inte...

A: Introduction: The point at which a parabola changes direction, corresponding to the quadratic functi...

Q: Let [1 2 [1 A = 2 41 1 3 and B = |2 1 [2 2 6] 2 4] 3 [1 2] Find the elementary matrix, E such that E...

A: Two matrices A=124213102 and B=124213226 are given. We have to calculate the matrix E that satisfies...

Q: (b) By applying part (a), solve the congruences 2x = 1 (mod 31), 6x = 5 (mod 11) 3x = 17 (mod 29). 1...

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Q: 4. Let f(x) = r3 +x² – 3x – 1. It is known that f(2) = 0(mod 5). (i). Find a solution to f(r) = 0(mo...

A: The complete solutions are given below

Q: Let P(x) be the statement “ x? > 1" and Q(x) be the statement “x+1 < 4". The universe of discourse c...

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Q: (a) The first 3 terms of an arithmetic progression are ?, 5?, 7? − 4. Find (i) the value of ?,  (i...

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