Using both trapezoidal and Simpson rule, find the approximate values for the integral sin 2² dr; n = 10

Q: V1 V3 V2 V4 a) Find the adjacency matrix A for the directed graph shown. b) Compute A³. What do the…

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Q: Use the process of partial fractions to determine the inverse Laplace of the following functions:…

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Q: b) Converse of q → p р q T T TFF F 8T T F T F LL

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Q: 4. In Chebyshev polynomials form, the value cos 20: = ...

A: Solution

Q: 8. Suppose you revolve the region completely about the of revolution. Describe the solid and find…

A: Introduction: A stable of revolution is a stable determine created via way of means of rotating a…

Q: 4. Locate the centroid z of the frustum of the right-circular cone. X -R Z h

A: Consider the diagram of the frustum of right-circular cone,

Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: 24. A population grows according to the logistic growth model, with growth parameter r = 0.8.…

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Q: Solve the ordinary differential equation y'+4y-3x³, using Runge-Kutta method with Xo-0. Yo-1, X₂-2,…

A: Solution: Given, y'=3x3-4yy(0)=1h=0.5y(2)=? Using formula , k2=hf(x0+h,y0+k1) Second order R-K…

Q: a. Find the inverse of 43 (mod 256) b. Solve the linear congruence 43x=7(mod 256)

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Q: a. y[n]=2(1/3)u[n] b. y[n]=2(1/3) c. y[n]=(1/3)u[n] d. y[n]=2 e. Y[n]=2(1/3)^un)

A: In this question, the concept of z-transform is applied. Z- Transformation In its most basic form,…

Q: 23. A population grows according to the logistic growth model, with growth parameter r = 0.8.…

A: as given  r=0.8 p0=0.3 we already have p1=0.168 , p2=0.1118 (c) determine what percent of habitat;s…

Q: . A Garments Factory produces 2 kinds of curtains: Curtain A and Curtain B. For materials, the…

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Q: La transformada de Fourier de x(t) = e2t * u(- t)

A: A Fourier rework (FT) is a mathematical rework that decomposes capabilities relying on area or time…

Q: In a population of 400,000 people, 120,000 are infected with a virus. After a person becomes…

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Q: The mean weight of 800 college students is 56 kg and the standard deviation is 5 kg. Assuming that…

A: given , mean weight of 800 college students is 56 kg and the standard deviation is 5 kg. determine…

Q: (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) = Investigate…

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Q: Let G be the simple graph on the vertex set V(G) = {a, b, c, d, e, f} with adjacency matrix: 011101…

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Q: Find where each of the following functions is discontinuous (a) tan(x) (b) cosec(x) (c) |x|

A: Solution a: Given function is y=tanx Since at π2 , tanx does not exist. Now, we will see it in graph…

Q: d) (q^t) ^ (p ^ c) where t is tautology and c is contradiction. р q T T T F T F TF F F LL

A: To find: the truth table.

Q: t(M₂ (R), +..) be a ring. Prove H = {(8) a, b, c E R}is a subring of 10 ), +..).

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Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁ (x)) c) (T₂(x) - T₁(x))) b)…

A: Chebyshev polynomial Tn(x) of the first kind is a polynomial in x of degree n defined for x=cos…

Q: 1. Find all 6 subgraphs of the following graph. 22 O

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Q: e) If a convex function f: R→ R satisfies f(10) = value for f(7)? = -4 and f(20) = 30, what's the…

A: Given that f:R→R is convex function with f10=-4, f20=30.

Q: J (2e + + In 2) dr dx

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Q: Q.25) Find the area of the region enclosed by the cardioid r=3(2+2cos0)

A: To Find: Area of the region enclosed by the cardioid r=3(2+2cosθ).

Q: The amount of time required to serve customer at a fast food restaurant has an exponential density…

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Q: 1. Which is a polynomial function? P(x) = 2x³ + 3x² - 4x + 4 A. B. H (x) = 4x¹/2 + 3x -4 c.…

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

Q: Q2) Let(M₂ (R), +..) be a ring. Prove H = {(a) la, b, c = R}is a subring of (M₂ (R), +,.).

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Q: 45-46. Consider the following graphs. Which of the graphs have an Euler tour? GRAPH A. b n 9 GRAPH…

A: Option is correct i.e. A only

Q: The function f:P (₂)→Xº for X is a two-element set (0,1) is?. a) Bijective b) Surjective c)…

A: Bijective

Q: Evaluate the sum and express your answer in Cartesian (rectangular) form of the complex number

A: Given- ∑n=0∞ejnπ2  To find- Evaluate the sum and express your answer in Cartesian (rectangular) form…

Q: 2. Let N (x) be the statement "x has visited North Dakota," where the domain consists of the…

A: In this question, the mathematical quantifiers are converted into English quantification.

Q: Explain how to solve difference equations using the iterative method.

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Q: (a) Assume that g(x, y) is a function of the form 2+y² g(x, y) = 0 if (x, y) = (0,0). (i) Show that…

A: As per our guidelines we are supposed to answer only first question's first 3 subpart. In this case…

Q: 2) t (y-1) dt +y(t+1)dly=0 31 хчуу! -2y =. 41 yan- x lnn dy ==

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Q: Let p>5 be a prime number prove that expression p^4-10p^2+9 is divisible by 1920.

A: A top wide variety is a herbal wide variety large than 1 that isn't always the made of lesser herbal…

Q: let f: R^ -> R be a function given by 2 f(x₁, x₂... x₁) x.x²2. x²n, where = € 2.1 Show that the…

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Q: (a) Prove the convergence or divergence of each of the following series: 1! 2! 3! (i) + + 22 +1 + +…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: a) Draw the pseudograph that you would get if you attach a loop to each vertex of K23: b) What is…

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Q: ical notation of each:

A: Given as,

Q: Ju udv-uv- 1 [vdu to Explain why the substitutions below are inappropriate. Let dv <=x x dx 1.…

A: Here we will find how to use integration by parts

Q: r sin rdr using integ

A: ∫xsinxdx =x∫sinxdx - ∫[dxdx∫sinxdx]dx=x{-cosx} -∫1.(-cosx)dx

Q: Find A. A = (2A)-1 - [ 3-2 2 -2

A: We can solve this using gauss Jordan elimination

Q: Determine if the graph is i) Eulerian only, then specify an Eulerian circuit ii) Hamiltonian only,…

A: Given: Graph having 5 vertices and 9 edges. We have to check whether the given graph satisfies the…

Q: Write the number 56 as a Mayan numeral

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Q: b) Find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only…

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Q: Write the Hindu-Arabic numeral as a Mayan numeral. 6491

A: In this question, the Hindu Arabic numeral is converted into Mayan Numerals. Number System A number…

Q: If the zeroes of a rational function has 2 real, and 2 imaginary roots, then the number of the…

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Q: Check the differentiability of the function f(x, y) = √xy | at the point (0,0). Also check the…

A: As per the question we are give a bivariate function : f(x,y) = √|xy| And we have to check for its…