) Using only the e,6-definition of limit, prove that 1 lim 1.

Q: 0.6 rule find f rect upto two

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Q: Use the Lagrange multiplier method to optimize the objective function 3x? + y? – 2xy subject to the…

A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

Q: Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows: Given {x, y} € Z × Y,…

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Q: Do infinite uncountable sets have the same cardinality? If yes explain why. If no give a counter…

A: No. Infinite uncountable sets may have different cardinality.

Q: (11) The adjugate of A= is: (») [ (b) (c) (d) (e) None

A:

Q: You have $5000 to invest for 1 year. Fund A has an estimated 4% annual return, and Fund B has an…

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Q: Two positive whole numbers add together to make &46. What is the largest possible answer when the…

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Q: If the n-th partial sum of a series (n=1 to infinity) an is sn =(3n + 5)/(2n − 1) find the…

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Q: (12 Which of the following statements is FALSE? (a) Each elementary matrix is invertible. (b) Let 0…

A: We will go through all the given options and check whether it is true or false.

Q: 3. Let C be the circle r = cos 0 and C2 be the petal of the rose r = v3 cos(20) that is to the right…

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Q: he function f(x) = e – 1 is to be solved using lewton-Raphson method. If the initial value of o is…

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Q: Donio, Nidilyn (Faculty) 3:29 PM 4. 89 is decreased by 12% Donio, Nidilyn (Faculty) 3:30 PM 5. How…

A: 4. Decrease 89 by 12%. This means we have to find 88% of 89, Hence, 88100×89=78.32

Q: ind the total dominating set for: Cn kn Kmn

A: Given step by step explanation below

Q: Let A and B be infinite sets that are uncountable. Do an and B have the same car finality as each…

A: Let A and B be infinite sets that are uncountable. Do A and B have the same cardinality as each…

Q: Work Problem1[With integrity statement] Let D = {(x, y) | 2 < r < 3, - <0<0}. Sketch the region D,…

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Q: Date Q Use Least Square Regrissi methed to describe the relation (methed no 1) br between X and Y…

A: The given data is, x 7 3 5 8 9 5 4 2 8 6 9 y 5 7 8 1 3 4 0 6 7 4 2 To find the relation…

Q: (-13] 1 2 Let A= 07 5 10) -2 00 (h-1)(h+1) system. For which value of h is the system INCONSISTENT?…

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Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

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Q: The triple integral 4 0. 1 dx dy dz -4 evaluates the volume of the rectangular box {(x, y, z)| – 3 <…

A: True   We  solve this triple integral

Q: The objective function is R= ax + by, for some values a and b. Find a and b. Round to the nearest…

A: Given McJester's Burger Hut plans to expand by opening several new restaurants.  The chain operates…

Q: 1-18 Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A: Since you post more than three subparts questions, as per our guideline we can solve only first…

Q: Does a k6 graph have a Hamiltonian cycle?

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Q: Use the power series f(x)= In (1 – x) = - for -1sx<1, to find the power series representation for…

A: Interval of converges of the power series

Q: x – 3|dx i

A:

Q: Continue the two sequences of numbers below and find an equation to each of the sequences 1 2 3 4 5…

A: 1. In first. 1+1=2 2+3=5 5+4=9 9+5=14 14+6=20 20+7=27 Hence the eqution is  an=an-1+n

Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a.yp…

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Q: 2) y' – 10y + 25y 24te y(0) = –2, -10; - = (0)fi

A:

Q: Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: To find a 4×4 matrix A with non zero entries such that there are 3 eigenvectors for a single…

Q: Hannah expects to receive Php 200,000 five years from now. How much is the money worth now if the…

A: Given Future amount = A = Php 200,000 Time = t = 5 years Interest rate = r = 10% compounded monthly

Q: What is the minimum number of edges of a spanning tree for this graph? A В E D. C.

A:

Q: H.w find the root fcx)= X log x-loo when [ !,3} by Bisaction ?

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Let {ē1, ē2, ē3, ē4, ē5, ē6} be the standard unit vectors in Rº . Find the length of the vector * =…

A: Let e→1, e→2, e→3, e→4, e→5, e→6 be the standard unit vectors in ℝ6.And let…

Q: Let S = { (0,0), (0,3), (1,0), (1,2), (2,0), (3,2) } Find S', the transitive closure of S

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Q: Second-order Differential Equation Parameters If a system is described by the following differential…

A: As per the question we have a system described by a second order linear homogeneous differential…

Q: l-13] 1 2 Let A=07 (10) -2 00 (h-1)(h + 1) system. For which value of h is the system INCONSISTENT?…

A:

Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a,…

A:

Q: Which of the following are subspaces of R ? Choose all correct answers. {(x, y, z) E R³ | x + 2y + z…

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Q: (9) Let T: R. -R? be a linear transformation. Suppose T(u) = and T(v) = What is T(2u -3v)?

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Q: Q-II) Use row operations to find the inverse of the matrix A 01 0 0 1

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Q: D is the region enclosed by Sx² + y? <9 and y <0, then vhich of the following is the setting of he…

A: We want to find the true option.

Q: Given: sets T and V are reflexive. True/False: TU V is reflexive O True O False

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Q: Convert the given polar equation into a Cartesian equation. r= 2sin 0+ 8cos 0 Select the correct…

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Q: Find the values of (Xx) that minimize the function f(x,y) = 8x²- xy + 12y² subject to the constraint…

A: (a)

Q: Evaluate the following integral using Trigonometric Substitutions Method: 2. y = 1- x dx

A: Here to solve the given integral, we can use trigonometric substitution  x=sin2t

Q: Problem 5 Solve Cauchy Euler equation r'y" +ry -y =r'e

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Q: To find: the whether the given telescopic series converges or not by finding the limit of the sum of…

A: Given series is ∑k=1∞1k0.1 - 1(k+1)0.1

Q: 2) 3) 12 4) 5) 미. 미이미。 미 미 미 미우 미위미위 미 미 미유 키4 2_3

A: 2. 2540-2440=140

Q: Consider the function f(x) = 3 e-X. Answer the questions below. (a) Find the third order Taylor…

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Q: Write an augmented matrix for the following system of equations. 8x-4y +4z -8 6x-5y +6z = 7 4y-6z =…

A: The given system of equations                                        8x-4y+4z=-86x-5y+6z=7…

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y = 3 , y (0) =…

A: