Create a cubic expression that when divided by (x-1) will have a remainder of 6

Q: 1 Given that x, x², and are solutions of the homogeneous equation X corresponding to x³y"" + x²y" —…

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Q: Exercise 5 (a) Find a complete solution of Clairaut's equation: 1/3 1/3 z=xp+yq +3pq (b) Show that…

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Q: EXER 3.2 - LINEAR ALGEBRA Write v =(4,4,5) as a linear combination of x=(1,2,3), y =(-2,0,1) and z =…

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Q: LOW: Construct polynomia -) sinx in [0, 2π] interpolation in mentioned interval of the function

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: List all of the subgroups of the group (Z20. +). empty subset of G tha

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Q: Find the volume of revolution resulting from the region bounded by 3x-y²+2=0₂ xty = 2, and y = ³√x,…

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium- 100 has been reduced…

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Q: For each supply function  s(x) and demand level x , find the producers’ surplus. s(x)= .02x, x=100

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Q: Find the critical numbers of the function f(x) = 3x5 + 15xª At x = At x = At x = the function has a…

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Q: A jar contains $9.45 worth of quarters and dimes.  The jar contains 28 more dimes than quarters.…

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Q: Find where ln((1+z)/(1-z)) is not analytic.

A: To find: The region where the function ln(1+z)(1-z)), where z∈ℂ is not Analytic.

Q: Solve the given differential equation by undetermined coefficients. y" + 6y = -294x²e6x ||

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Q: Solve y" + 2y + 2y = e cos(x) with y(0) = y'(0) = 1.

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Q: A child psychologist is interested in the number of times, x, a newborn baby's crying wakes its…

A: We are given that PX≤1 or X=5=1450 So, P0+P1+P5=1450250+a+b=1450a+b=1250

Q: Solve the initial value problem y" + 4y' — 12y = 0, y(0) = a, y′(0) = 60. Find a so that the…

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Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

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Q: (Using Laplace Transform) Obtain the deflection of weightless beam of length 1 and freely supported…

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Q: Pick two of the given functions and determine up to the 5th degree Taylor polynomial: a. g(x) = 2xe*…

A: To find the nth degree Taylor polynomial of a function f(x) at x=c, use the following formula.…

Q: Let A and B be two events such that p(A) = 0.4 and P(BA) = 0.2. Then P(BnA) = 0.4 0.7 0.6 0.5

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Q: is given by Find the function y (1) whose Laplace transform y (5) = e-55 (85-17) (5-3) (5+4)

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Q: 1. n~m in Z if n-m+nm ≥ 0.

A: As per our guidelines we are supposed to answer only one question. Here question 1) answered.

Q: Linear Algebra B= 1 0 -2 0 4 -2 4 -2 -2013 for the given matrix B above, find the following: a.)…

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Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n I = X Find the…

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Q: If f(x, y) = 2x² + 5y² and u is the unit vector in the direction of T 6 which of the following…

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Q: Exercise 11. Let f : I → R and a, b € I, a 0, f'(b) > 0 C₁ C₂ C3, f(c₂) = 0, f'(c₁) = f'(C3) = 0

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Q: Let CR denote the circle z = Rei (0 ≤ 0≤ 2π). Show that lim R→∞ CR 2-4 (2² + 1) (2³ — 5) dz = 0

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Q: 6) Given that (2-6) is on the graph of y = f(x) what must be on the graph of a. g(x) = -f(x)-2 TER…

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Q: 8. (a) T F The xy-trace (on the xy-plane) of the surface x² + y² − z² = 0 is a point. (b) T F If…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Use method of undetermined coefficients. y" − 2y' +2y = 2x — 2.

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Q: Find the particular solution of the differential equation (x+1)+ xy = (x + 1)²e-³x, y(0) = 4

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

Q: Use Cauchy's integral formula (or its extension) to calculate each of the following integrals (in…

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Q: 7) Write the quadratic function, f(x)=x²-2x-8 in vertex form and then find all of the following: a.…

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Q: E Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [ 4³…

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Q: Find the curve of best fit of the type y = a = ae" - aeox to the following data by the method of…

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Q: e -t.6t rule

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Q: A newspaper headline claims: "Apple spends far less on Research & Development than any of its…

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Q: Let n, meN and let f: R²R given by f(x, y) Task 1 T-ym-1, Calculate f(x, y)d(x, y), 1 [ f(x, y)d(x,…

A: Given : n, m∈ℕ and f :ℝ2→ℝ2 is given by               fx, y=xn-1ym-1 To find : ∫0, 1×0, 1fx, ydx, y…

Q: Find a general solution in powers of x of the differential equation. State the recurrence relation…

A: We will start with  a general  power series an=∑n=0∞xn and then plug in into given differential…

Q: Z = PV [(PA¬Q) → R] ↔ (¬P V ¬Q)

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship…

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Q: The function f(x, y, z) = x² − y² − z ² increases in the direction 〈六〉 (1, 1, 1). at the point

A: Please check step 2 for solution.

Q: Determine necess when Pdollars invested rate Componded annually, monthly, daily, and continuously. x…

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Q: 2) Let V₁, V2, W be vector spaces over F. Show that the set Bil(V₁ × V₂, W) of bilinear maps is a…

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Q: The scores on a test are normally distributed, with a mean of 82 and standard deviation of 8. What…

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Q: A fair dice is rolled twice. The probability that the outcomes on the dice are different given that…

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Q: Suppose U = {1, 2, 3, 4, 5, a, b, c) is a universal set with the subset A = {a, b, c, 1, 2, 3, 4).…

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Q: A company issued 50 bonds of P1,000 face value each, redeemable at par at the ends of 15 years to…

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Q: Graph the break even points: Cost Function = C(x)=1800+500x Revenue function = R(x)= 500-0.04x

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Q: fsin(sin(x))dx

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Q: Find the least square polynomial approximation of degree two to the data. 1 -1 a= Let y = a + bx +…

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