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Q: If Total utility function Tu= x3-30 X2 Find number of consumption where is Average Utility are…

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Q: -5 2 QUESTION 13 Let A -6 4i -3i -3 2 1 3 -14 11 0 -2i Write down the eigenvalues of A? and their…

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Q: 10. There are three tents A, B, and C set up in a campsite. The distance between tents A and B is…

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Q: Given the following digraph G, select true if the statementis true and select the false if it is…

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Q: Solve the system of linear equations below using: 1. Gaussian Elimination 2. Gauss-Jordan Method 2w…

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Q: -2 -1 4 -2 and X = 1 -1 Let A = 2 Find a constant A such that AX = AX Enter the answer in the space…

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Q: ² a -2

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Q: .Suppose that a company produced and sold two types of products. If they sold monthly x, items of…

A: To determine the income if a company sold 32000 items of the first product and 55000 items of the…

Q: 2. Let gn(x) to zero uniformly on [a, o). Show that the convergence is not uniform on [0, 00). for n…

A: Given function is gn(x)=nx1+(1+n2x2) Now limn→∞gn(x)=g(x)=limn→∞nx(1+n2x2)…

Q: Question 1 Determine the interval of convergence of the following power series. (x + 4)" (a) (x +…

A: We have the series ratio test:

Q: . Test for an extremum the functional I[y(x)] = [(x»+ x² – 2y²3y')dx, y(0)= 1,y(1)=2 |3|

A: test for an extremum the functional

Q: A javelin leaves the thrower's hand 7 ft above the ground at an angle of 45° at an initial speed of…

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Q: QUESTION 5 True or False? If c is a scalar and {v,V2,V3} is an orthogonal basis is a new orthogonal…

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Q: AP1) Prove that f: E → R; x x² is uniformly continuous if E is bounded. AP2) Prove that f : R R; x x…

A: Definition: A function fx said to be uniformly continuous, if for every ε>0, there exists δ>0…

Q: hird term ir

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Q: Toby Martin invests $ 2500.00 at the end of each year for 8 years at 12% interest compounded…

A: GIVEN INFORMATION principal = $ 2500. 00  time 8 years  rate 12 % compounded semiannually  number of…

Q: Exercise 3, Use Newton's method to approximate v3 with the following functions and values. а. f(x) =…

A: Given: (a.) The function, fx=3x and the values, x0=-2, x1=-1, x2=0, x3=1 and x4=2. (b.) The…

Q: DIRECTIONS: Use this informati on to answer Parts A and B. Suppose AABC and AXYZ are similar right…

A: Given: ∆ABC and ∆XYZ are similar right triangles. Length of side opposite to ∠A is 13 ft, the length…

Q: $350 is deposited at the end of each month for compounded monthly. What is the amount of the…

A: Introduction: The word "percentage" was derived from the Latin word "per centum," which means "by…

Q: Solving a differential equation using the Laplace transform, you obtain s2 + 75 Y(s) gi3 + s² ° f(s)…

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Q: Draw the Direct Form II implementation of the LTI system of impulse response h[n] = { 1, n even and…

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Q: If n is not prime, then G = {1, 2, 3,..., n-1} is not a group under multiplication mod n.

A: We prove this result by contradiction.  Let n is not prime and G={1,2,3,....,n-1} is a group under…

Q: The following graph contains an Euler path. b d

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Q: 1+ax dx Evaluate log 1-ax x 1-x

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Q: 3 . Use the baby-step giant-step algorithm to find h, k such that 2^h ≡ 7 (mod 53), 2^k ≡ 9 (mod…

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Q: Pick the most appropriate answers that make the statement true. 11 The series (In(n+1))" n=1 O…

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Q: Question 1 Determine the interval of convergence of the following power series. (x + 4)" (a) Vn 8n…

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Q: Graph G is defined by the arrow diagram below. 1 3 2 4 Select the statement about G that is false.…

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Q: 6. The postion of a certain spring-mass system satisfies the initial value problem u"+ ku =0, u(0)…

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Q: 2. Consider the function ƒ : R × R –→R xR defined by f(2,v) = (,). Determine the powers of f. (Note…

A: The given function is:  f(x,y)=x+y2,x-y2.   we need to find the powers of f(x,y).

Q: 2) Solve the differential equation: (D2 11D + 28)y 48 e36x + e 4x =

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Q: Section 1: Statistics and Probability Here are the shopping times (in minutes) of the a sample of 15…

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Q: plant is already 14 centimeters tall, and it will gr ne centimeter every month. et H be the plant's…

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

Q: Question 1 Let R be the triangle bounded by the lines x = C be the boundary of R, traversed…

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Q: (7) A subset A of the real numbers is said to be dense if every open interval of the form (a,b)…

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Q: 3. Sketch a graph for a rational function with the properties as given. 13 Properties Graph • A…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find a) Ra Py for ū =|2 3

A: The symbols Rπ2Py indicates that the matrix is rotated by π2 and the projection is on  y axis. The…

Q: Ohm's law of electricity states that V-IR, where V is voltage, I is the current, and R is the…

A: Introduction: According to Ohm's law, the current flowing through a conductor between two places is…

Q: Using Maclaurin series, determine to exactly what value the series converges. (47)2n -1)" (2n)! n=0…

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Q: Determine whether these two graphs are isomorphic. Explain why or why not. а f. e h d и G H

A: In graph H, swxyzvuts is an 8-cycle. But in graph G, the maximum length cycle is 6-cycle, i.e.,…

Q: Using L'Hospital's rule, determine whether f(z) or g() given below grows at a faster rate. f(z) =…

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Q: Problem4. Solve the following system of equations: X – 2y + 3z = 1 X + 2y – z = 13 Зx + 2у — 5z %3 3

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Q: 05 y' + (cot x) y 3 sin x cosx

A: We have to solve the given differential equation.

Q: Problem 7. The following expression 3x' + 212 - &r – 12 x2 - 4 decomposes via partial fractions as…

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Q: Expand f(z) in powers of (z – 12). Also (z- 15) clearly mention the domain in which this expansion…

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Q: Consider the following graph. Let u,(t) = u(t – T) be the unit step function shifted 7 units to the…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: QUESTION 19 . (a) Consider the matrix [2 0 A = 0 -1 -4 0 4 -5 0 3 1 Find a basis for Nul A. [-3 3 5…

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Q: bers Euclid (born approx. 300 BCE) discovered that the first four perfect numbers are generated by…

A: As per our guidelines we are supposed to answer only first three subparts of the question. For the…

Q: At the beginning of a population study, a city had 350,000 people.. Each year since, the population…

A: Given:   At the beginning of a population study, a city had 350,000 people. Each year since, the…

Q: (3*d) mod 40=1 By solving the equation we get d=67.

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