Question * The cube of any integer may has the form: 9k + 8 9k + 7 This option This option 9k + 6 All of the choices This option This option

Q: 3 Write a limit using summations that would equal el+a dx. Answer: lim Submit Answer k=1 =WI

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Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2x-4-0 ii, Calculate the…

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Q: Given P = RS?T05 + R5S sin(27) what is P !! as 0.5R ST 0.5 + 2RS cos(27") O 3R ST05 + 0.5R 04…

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Q: есх Find the derivative of y = Arccot (tan(esec*)) in its simplest form secr

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Q: Find the third order derivative of y = In(cos(2x))³. A. y' = -40sec² (2x)tan(2x) B. y' = -80sec?…

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Q: 3. A spring mass system with friction has mass m = 2kg, friction constant a = 4 kg/sec, and Hooke's…

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Q: Find the radius of convergence, R, of the series. (x – 9)" n-1 Find the interval, 1, of convergence…

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Q: A man pushes a lawn mower with a force of 26 lb exerted at an angle of 30° to the ground. Find the…

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Q: Determine whether the pairs of functions: f1(x) = e^(3x) and f2(x) = e^(-3x) are linearly dependent…

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Q: show that the binary structures {Q,+} with {Q,+} where (x)=x/2 for xEQ are isomorphic

A: Given :  It is given that ℚ, + and ℚ, + are two binary structures with the mapping f(x) = x/2 for…

Q: Exercise 3.3.5. Let S be the subset of S4 consisting of permutations which fix the number 4, i.e., S…

A: The given set is S=σ∈S4:σ4=4 is the subset of S4.

Q: (a) Let two time-domain functions be f(t)= cos at – sin at and g(t)=t cosh at , where a is a…

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D

A: We have to sketch and identify the given equation.

Q: Prove: If (ū. v} and ü, v. w} span the same vector space, then w is a linear combination of ū and v.

A: If {u⇀,v⇀}  and {u⇀,v⇀,w⇀} spans vector space V then,we will have to prove that we can write w as a…

Q: Let p denote the statement "Florida borders Alabama", and let q denote the statement "Florida…

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Q: 3. Apply Green's Theorem to evaluate the given integrals: a. $. (2x + y²)dx + (2xy + 3y)dy where C…

A: Green's theorem evaluation.

Q: At time t = 0 there are 10 person in a community of 1,000 people who has the flu. Researchers find…

A: Given: Total population=1000 The growth model is logistic growth model. Growth constant r=0.603 At…

Q: Consider the following linear transformation and basis. T: R2 → R2, T(X, y) = (3x – y, y – x), B' =…

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Q: the language of mathematics is precise because?

A: 1) it Expands students  mathematics vocabulary and builds capacity to define/learn new terms.…

Q: If x1 =-1, x2 5, x3, = 2, x4 = 6, complete the following summations: a. E3x 3x,3x2,3x3.3x4 3(-1) +…

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Q: Determine one real root of h (x) = In() = -3 between -0.9 and –0.2 using the Bisection Method.…

A: Given, h(x)=lnxx3-8=-3    ; -0.9,-0.2h(x)=lnxx3-8+3=0To find: One real root of h(x) between -0.9 and…

Q: Express 95% into fraction in lowest term

A: Given:' Express 95% as a fraction in the lowest term.

Q: Use the method of Laplace transforms to solve the given initial value problem. Here, D[x] and D[y]…

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) n= 1…

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Q: Given the vectors x and y',..., y™ in R". Our objective is to check whether x E conv{y', . , y™}.…

A: Given:vectors x and y1,...,ym in Rn

Q: 6. Determine the moment of inertia of the composite area about the centroidal axis. 240 mm 50 mm 50…

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Q: 12. How much will a mother receive from her pension plan after paying P900 every month for 20 years…

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Q: 1. Consider e" = for all r € R. n! n=0 a. Determine the power series representation of f(x) = xe =…

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Q: Consider the following higher-order differential equation. du - 2u = 0 dt2 dt3 Find all the roots of…

A: Given differential equation is d3udt3 + d2udt2 - 2u = 0

Q: Which of the following discount rates will produce the smallest present value? Click here to view…

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Q: f(2022) (0) 3) Solve for the following equation: The Maclaurin series expansion of tan-r is given by…

A: We have to approximate the 1/2 arctan(1/2).

Q: Let x, y ∈ Z. Use a direct proof to show that if xy is even and x is odd, then y is even.

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Q: Slve using Laplace Transforms: y(0)=0, yCo)= | ニ

A: The given initial value problem is                                         y''-2y'+2y=e-t , y(0)=0,…

Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: In mathematics, a homogeneous binary relation R on a set X is reflexive if it relates every element…

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: We have to find the roots of the equation 5x2-2x-4=0

Q: Determine whether the sets S, and Sz span the same subspace of R3. S, = {(1, 4, –1), (0, 1, 1), (2,…

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Q: Derive the following Laplace Transform using the definition: (も,○-も1 fC+)=32-t,1Sも22 co,' tza

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Q: If A = 1 -2 3 and B = 1 -2 4 L -4 2 5. 3 5 1 4 find A"B and (AB)". Show your solution.

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Q: dx dy dx dy Use elimination to solve: + = e'; -= *+

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Q: 1. Solve the following set of equations using Excel: 6x1 + 2x2 + 5x + 4x2 + X3 X4 14, X3 X4 3x5 0,…

A: Consider the set of equations: 6x1+2x2+x3+x4          =145x1+4x2+x3+x4-3x5=0…

Q: Match the two matrices A, B with their product AB. i Instructions 1 0 2 6 7 4 3 4 5 -3 9 0 6 1 [1 -2…

A: Match the two matrices A, B with their product AB.

Q: Let v1 = v2 = 3 v3 = Are the vectors v1, v2 and vz linearly independent? linearly dependent If the…

A: Vectors v1, v2, v3 are linearly dependent if C1v1+c2v2+c3v3 =0 implies atleast one Ci is non…

Q: 1. g" +3-2y1-81y': gro) - 7.4 y'l0)= - 4.L y"C0)=9.91

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Q: R-{(A B) E Pex) .Pcx: A: Is it R com Pletely related ?

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Q: 32. a. + 2n b. с. k=1 50

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: The elementary matrices in sequential order that converted a coefficient matrix, A of a system of…

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Q: Find the inverse of laplace, f(t) if: 4s + 12 s3 – 9s2 + 23s – 15 5. F(s) : - -

A: Given: F(s)=4s+12s3-9s2+23s-15 To find the inverse Laplace transform

Q: 3. See the restriction in the following equation. Explain the meaning and the purpose of this…

A: Given that 1b1201ytzt=b10b20+γ11γ12γ21γ22yt-1zt-1+εytεzt First, we try to solve this matrix equation…

Q: Exercise 14.4.22. Let o be a permutation in S„. (a) Show that there exists an integer k > 1 such…

A: Please post the multiple parts separately.Here I answered 1st three sub-parts as per our policy.

Q: LCM of the numbers below

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