1. Find the power series of the given function (a) f(x)=4x_ 1-9.x? 4.x (b) g(x)- 8 (2 + 6.x } (c) h(x)= In(8.x + 2)

Q: 1. Find the nine roots of -256 – j256/3 . 2. Find all the roots of f (z) = 226 + 81/3 – j81

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Q: 1 -3 3 4@ O } watrir, A= Find A75 3 -5 3 6 b 9- P the diffenen Linean

A: Given data A=1-333-536-64find  A75=?

Q: The sum cost price of products P and V is P 15000. The selling price of the same two products is P…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: Question 4 The well-known Fibonacci Sequence Fo, F1, F2, ... is generated by the relation Fk = F1 +…

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Q: How many subcommittees of 5 people can be formed from a committee consisting of 8 people?

A: The number of ways r items can be chosen from n different items is equal to C(n,r). The formula for…

Q: Q2: Discuss the fundamental theorem for gradients usingE = 5x2 î + 20 xy j+ 10 yz3 k and the…

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Q: 2 3. f(x) = es* – x² – 1 (Xi-1= 8)(x; = 5) (х-1 3D 8)(%; — 5)

A: F12=EXP(2*E12/3)-E12^2-1 H12=EXP(2*G12/3)-G12^2-1 I12=G12-H12*(G12-E12)/(H12-F12) Error=ABS(J12)…

Q: Let u and v be non-zero vectors in 3-space. Prove that u and v are perpendicular if and only if |u…

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Q: Solve: *+rtand cos 0

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Q: EXAMPLE:- Method of variation of parameters. Solve the nonhomogeneous ODE %3D sec X COSX

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Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: “Since you have asked multiple questions, we will solve the first question for you those asking. If…

Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Selection of balls, probability

Q: If A Supset of B then int(A)Supset of int(B)

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Q: A fair die is tossed three times. Find the probability of getting: three 4s. . three 5s. three 4s or…

A: A fair dies is tossed three times As a toss does not affect the outcome of another toss  The events…

Q: Using the answers obtained in getting the LU decomposition, solve the following system of equations.…

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Q: Q.2/ Change the following Cartesian integral into an equivalent polar integral and 1-(x-1)2 x2y 3 dy…

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Q: Let p be a proposition and P be a propositional function. Identify all of the following statements…

A: Given : p is a proposition and P is a propositional function We have to identify the statements as…

Q: e 5X dy LnCSinx)dx

A: We are permitted to answer only one question at time as per the policy. I am answering 5th question…

Q: 10 I. Determine if the events below are mutually exclusive or not mutually exclusive. 4. Selecting…

A: two events are mutually exclusive or disjoint if they cannot both occur at the same time.  Formally…

Q: y"(t) – 6y'(t) – 2y(t) = 4 cos 2t – 4t³; y(0) = -2,y'(0) = 3

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Q: Given the following data; 2.0 1 s1s) 0.6570 0.9039 0.9985 0.9407 0.7344 0.4121 1.2 1.4 1.6 1.8 By…

A: We have to find the value of f(1.5) using (a) Newton forward difference and (b) Newton Backward…

Q: A telephone service representative believes that the proportion of customers completely satisfied…

A: Solution:Let P1 is the proportion of southern resident are satisfiedSimilarly,  Let P2 is the…

Q: Q1: Below is the population of the city in lenses taken once every 10 years. Estimated population in…

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Q: the topology 7, = {X,ø{a},{b,c}} 1; = {Y.ø.{u}} B={X ×Y,6.{(a,u}…

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Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-1AP ; 2 0 -21 1) A = ,…

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Q: O find othonormal bases: O x-2y-32 =0 W x+y+ 27=0

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Q: 25 Identify the conic (parabola, ellipse, or hyperbola) that the polar equation = represents. 6+5sin…

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Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y = x - y in…

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Q: a) Show that every closed subset of a compact space is compact but the converse need not to be true…

A: As per the guidelines I had given the proof of the first theorem. Kindly repost the another theorem…

Q: Q3: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 Y 0.4057…

A: We have to solve the given problem.

Q: the periodic decimal 0.110110110110110...(continuing on in this pattern forever) as a ratio of two…

A: Given, the periodic decimal                                0.110110110110110...

Q: 5. (a) f(t) = 2 cos? t (b) f(t) = 3 sin² 2t 7. (a) f(t) = cosh? t (b) f(t) = 2 sinh² 2t

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Q: What is the minimum order of the Taylor polynomial centered at 0 for cos x required to 10-42

A: Given,        cos(-0.35) with an absolute error no greater than 10-4.

Q: Consider the following predicates: Student(x): x is a student of this class Visited(x, y): x visited…

A: Given: Some student in this class has visited Mumbai but has not visited Kerala. All students in…

Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x2 + (y - 2)2 and the planes z = 1,…

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Q: R+j@L anc

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Q: identify the substitution equations and solve the solution 2( x–y)dx+dy=0

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Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

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Q: A) dx = x² – 2x + 2 dy %3D

A: The given differential equation is in separation from.  To find the general solution of the given…

Q: 3. f (x) = e COSX – 2 0.1 = 4 Хи ||

A: See below

Q: Sketch the graph of the cylinder x (y – 2)² in R³. %3D

A: Solution:   First of all x-y projection of this 3d graph is

Q: 2. Let X = {a,b,c,d} and T = {ø,{a},{b},{a,b},{a,b,d},{a,b,c}, X}. a) Show that T is a topology on…

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Q: Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through the surface of…

A: The given vector field is F(x,y,z)=x2 i +y2 j +z2 k and S: x=0, x=a, y=0, y=a, z=0, z=a.  To…

Q: Utensil Limited deals in the production of cups and bowls. The production requires machine and…

A: Machine hours per unit labour hours per unit Cups 4 3 Bowls 2 2

Q: You decide to Contribute to amutuof fund that loutrifide. 4.6%. returm pen year. q you averinger…

A: Solution:   Part (a) P = Quarterly contribution = $425 n = 10 years*4 = 40 Quarters r = Quarterly…

Q: laplace{sin3t sin8t}

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Q: JO find onthononmal bases:(Using 2 3 %3D 1 O'5 V2 = 2 0:2 1

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Q: Find the maximum and minimum values of the function f(x,y)=2x^2+3y^2−4x−5 on the domain x^2+y^2≤9.

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Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

Q: For the differential equation y' + 8y + 16y = sin(7x)

A: We have to solve the given differential equation.