1. Let (x - 1) be a factor of 3x³ - 8x² + 3x + 2. Find the other factors of the polynomial.

Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a. is an ellipse;…

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Q: general solution of y" + y = sec x tan x

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Q: In this module you have worked with many different trigonometric identities. These identities can be…

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Q: Find the distance of the plane passing through the points ā, b, c from the origin.

A: First we derive the vector equation of plane.    The perpendicular distance is the projection on the…

Q: 26) Let f(x)=x²e-². For what value(s) of x does f(x) have a horizontal tangent? (a) Find the linear…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k² in the…

A: given equation  xy'=ylnx-lny with initial conditions y1=4 using Runge Kutta method with h=0.1 , the…

Q: II. Fill in the missing entry in each row: Equation of line m Point P Point (P) X = 0 (x,y) 1.) Y =…

A: II) 1, Given line equation, X=0 Image of P(x,y) w.r.t line X=0 : line equation ⊥to X=0: Y=C Let…

Q: 1. Determine the half-range cosine expansion of the given periodic function: t, f(t) = {₁-t₁ 0<t<π/2…

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Q: Consider the following ODE: dy 2xy = y² sin(x) + x² cos(y) dx With y(20) = 1.6 for 20 ≤ x ≤ 70. A.…

A: %%ode45 clear all % y1=(y*sin(x)/(2*x))+(x*cos(y)/(2*y)); tspan = [20 70]; y0 = 1.6; [x,y] =…

Q: grocery store sells a bag of 4 oranges for $1.72. If Christopher spent $1.29 on oranges, how many…

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Q: Find the number of positive integers X smaller than 12849 which have exactly 2022 positive divisors

A: Theory : Total no of divisor of a number, If its prime factorization, given by ∏i=1hpiai Where p is…

Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid 2 = x² +…

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Q: Solve the differential equation using modified Euler's

A: Note:- As per our guidelines, we can answer the first one method as both are different method. For…

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, compute y'…

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Q: t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Note: Preliminary survey information provided in the sketch below is for use in answering Questions…

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Q: Show that the following functions are harmonic in x and y: log√x² + y²

A: Solution

Q: Test the convergence of the following: 3n+1 1- an 3n-1 Σ(meth) In e² + n=1 2- = n+1

A: Note :-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…

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Q: 3. In the last homework assignment, you computed the volume of the solid obtained by rotating the…

A: We will use the basic knowledge of integral calculus to answer this question correctly and…

Q: X (3+x) 1-x (2-x 4+x) 2 -10 5 -X ܝ 48

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Q: Solve for x: | cosx-2 sin 2x-cos 3x|=1-2 sin x-cos 2x

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Q: 7- 7 cost dy dx 3cosx dix (3 x+2)

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: (4,5,0), (0,2,1), 5. Find the area of the points (4,3,0), (0,2,1), (2,0,5). 6 a1 1 11 b-[-1 1 11…

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Q: Evaluate the triple integral (* + 1y) dV where E is bounded by the parabolic cylinder y = 32² and…

A: We have to find the triple integral  ∫∫∫E(x+y)dVwhere E is bounded by the parabolic cylinder y=3x2…

Q: etermine the fifth roots of 32 cos 5 T 6 + i sin 5T 6

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Q: Suppose that the medians of a AABC make angles a, ß, y with each S = cota + cot ß+ coty+cot A+ cot B…

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Q: Question 2 If z=f(u, v) where u-0.5(x² - y²) and v- xy, show that 8²2 8²z = 2(²-0) 82z əx² +45 2 0…

A: The given function is z=f(u,v) where u=0.5(x2-y2) , v=xy. To Prove:…

Q: unit vectors inclined to each P = a cost cos 2t+b sint cos 2t + c sin two non-collinear dicular to…

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Q: 5- X dy + y dx = x cosx dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is integration?

A: We have to define the term integration. Integration:- The antiderivative of a function fx is called…

Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = 0

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Q: Determine the Fourier series representation of the given periodic function: ft - 1, f(t) = lt + 1,…

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Q: Determine the value of k if the L[ tkt ] = 1/(s² - bs + 6.0).

A: Solution

Q: If the volume of the region bounded above by z = a²-x² - y2, below by the xy-plane, and lying…

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Q: THree-way combinations are things like this : If [A is true and B is true ] OR [if B is true and C…

A: Given Statements:If A is true and B is true                  ORIf B is true and B is falseWe need to…

Q: 10 Given the polar equation r= 5-2 sin 8 a. find the eccentricity and identify the type of conic; b.…

A: given the polar equation r=105-2sinθ (a) find the eccentricity and identify the type of conic. (b)…

Q: 4) By using Newton's backward formula for the derivative, find f (0-9) + f (0-9) 6 1 (0-8) f(0.8) N…

A: We first make backward difference table: x y=f ∇y ∇2y ∇3y ∇4y 0 0             0.12-0=0.12…

Q: If w is a vector such that w+(ŵ×ü) = v,then prove that only if u is perpendicular to v.

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Q: f(t) = {b 0<t<3 otherwise

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = eV¹- guaranteed by…

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Q: The following data consists of a matrix of transition probabilities (P) of three competing…

A: Given that, P=0.10.60.30.70.10.20.20.20.6 and initial share state π1=0.3,0.6,0.1, i.e., Px1=0.3,…

Q: - 2x²) y" + 6xy' + 2y = 0

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Q: The particular solution of (D³ + 2 D² − 5D - 6)y = 0, when x = = 0, y = 0, y' = 0, y" = 1

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Q: When using Euclid's algorithm to find the GCD of 820 and 730, what are the first three remainders…

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Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

A: Solution : For solution of d, e we take  direct results of binomial distribution. for…

Q: 12. What are the x and y coordinates of the focus of the conic section described by the following…

A: Note: According to our guidelines we can answer only first question 12)

Q: 3. Determine a(1.9), a(2.7). t 1.3 1.8 a(t) 1.1 2.5 2.3 3.1 3 4.2 3.8 5.1

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Q: Solve the given differential equations or initial-value problems swer only three)

A: 4. Given,             y'=y+xx