Use the Simpson's 1/3 rule with n = 8 to estimate: cosx

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A: When the interest is simple, then the formula used is A=P(1+rt), where, A is the final amount, P is…

Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x2 + y2 +422 4 and…

A: We have to find the parametric equations of the curve of intersection of the given ellipsoid and the…

Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: Use the induction argument to prove that 1+2+ + n = n(n+1) 2 for all natural numbers n ≥ 1.

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Q: Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

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Q: 1. The population data of the Philippines from 2015 to 2021 is given in the table below. Find the…

A: Let us consider that x is year and fx is population. So, the 1st divided difference formula will be,…

Q: Find the exact x-intercepts of the function y = x - 4x³ - 20x² +48x + 135.

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Q: For an arbitrary function f: XY, prove the following identities: a) f¹ (Uiel Bi) = Uier f-¹ (B₁). b)…

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Q: Determine the solution of the differential equation dy/dt + 5y = 35 that satisfies the given initial…

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Q: Evaluate D= 1 2 3 1 -2 -1 0 1 -2 0 -4 1 ÁNON 2 5 3 6 using the pivotal element method

A: The product of pivot elements is the determinant of matrix. To find pivot elements : 1.eliminate…

Q: Q3/ Solve the following differential equation dy = = (2-x)(2-y) dx By 1- Taylor expansion series…

A: Formula for Taylor series for function f(x) centered about x=0 is…

Q: Joseph Santos borrows ₱50,000 and after 7 months he repay the loan with the interest of 9.25%. Find…

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Q: Instruction: Setup the iterated double integral that gives the volume of the following solid.…

A: Construct a prism

Q: in a graph What is a k-coloring ? And give examples

A: Solution :-

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A: Washer method : When the palaner region is rotated about a line parrallet to…

Q: Section 3.6 In Exercises 1-3, find the solution of the given IVP. 2. dy +4- +20y=0 dt² dt. y(0) = 2,…

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Q: /Solve the following Assignment problem using the Hungarian method.. 1 2 3 4 5 J1 8 3 7 6 2 J2 51 9…

A: To solve the given Assignment problem using Hungarian Method first we will take the minimum of each…

Q: Use the following symbols in the fields: v→ and parentheses when necessary. Do NOT put spaces. 1.…

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Q: 1. Find the adjacency matrix of each graph Matrix A= [?] 1/2 Matrix B= [? ] V/₂

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Q: 50) Gregory can solve a simple equation for an average time of 1.35 minutes and a hard equation for…

A: Here the time required to solve each category of question is mentioned. So the total number of…

Q: Use Laplace transform to solve the partial differential equation: o'y dy +xt where y(x,0) = 0,…

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Q: Section 3.5 1. For the linear system - (²) Y dY dt (a) find the general solution; and (b) find the…

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Q: Travel The prices for traveling between five cities in Colorado by bus are given in the table below.…

A: From the table given, the graph can be drawn as follows:

Q: 1 For any n N set In = * cos" (t)dt, known as Wallis integrals. 1. Show that (n + 2)In+2 = (n+1) In.…

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Q: If z₁ = 13 – 10i and z₂ = −15+9i, determine the following: (2²) (z₁+z₂) (Polar Form)

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Q: 5. m 1, k-8, b=0 Underdamped Overdamped Critically damped Undamped; Natural period a

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Q: (iv) Write down the gradient of the straight line represented by the equation y = -0.05t +47. What…

A: To find the given subparts of the question :-

Q: 2. Consider the matrix A = (-₁-¹) Y, -9-P guarantees: (a) that A has two real eigenvalues? (b) that…

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Q: 4. The Riemann zeta function is defined as ((x) = = n² (a) For which real numbers x is ((x) defined?…

A: ζ(x)=∑n=1∞1nx a) By using the integral test,  we can find its convergence…

Q: (2 + + +9 4²5 ) (7 + 27 ) = (+) 5 7 Find Laplace transform of the function.

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Q: Is hypercube graph Q4 planar? If not can you provide any bounds on it crossing number?

A: No, hypercube graph Q4 is not a planner graph.

Q: 3. Solve PDE BC ICS khu = Dzu u(1,0,1)= 0 [u(r,0,0) u,(r,0,0) = 0 0<r<1 0 <1 <∞ = 1-² 0≤r≤1

A: Given that,     utt=∇2u     =urr+1rur-1r2uθθ                     1 and the boundary  and initial…

Q: 1. The value of (1.000)-27 is O 327 0.327 O 1.000 O Non of them (242²-121²) 242*121 O 1 O 2/3 O 11/3…

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Q: Use the graph to state the absolute and local maximum and minimum values of the function. (Assume…

A: Solution :-

Q: Consider the set S = {z E C : |Z| ≥ 2, Re(z) ≥ −2, Im(z) ≤ 2, Arg(z) ≥ 7 }. Z 109 0 (a) Sketch S on…

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Q: 2) F₁ / of (x,y) | = - pfe (psy) proof. (H-w-) If f (x,y) → o as as x→∞, then o

A: Introduction: The Fourier sine and cosine transforms are versions of the Fourier transform that…

Q: THE REGION BOUNDED BY 2y = x AND (x-2)² = − 4y + 12 15 REVOLVED ABOUT THE LINE Y = 4. DETERMINE THE…

A: Introduction: The washer method refers to this application of the slicing method. Because the slice…

Q: Consider the following linear program. Max 4x₁ + 2x₂ s.t. 2x42 50 2x₁ - 1x₂ 3x₁ 2x ≤ 100 1x₂ + 1x₂ +…

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Q: 9) Evaluate the double integral of the function f(x, y) = 12x²y + 8x³ over the rectangle 0≤x≤ 2 and…

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Q: 5. If d varies inversely as the square off, and f= 3 when d -15, find the value of f when d = 24.

A: According to our guidelines we have to answer the first question if multiple questions are posted at…

Q: Identify and use traces to sketch the surface 1. y= 9 - x2 - z2 2. y = 4 - z2

A: We will find traces on all 3 co ordinate planes , x=0 ,y=0 and z=0 . then draw the surface  Note :…

Q: α = Find the angle a between the vectors 5 4 2 and -3

A: We have to find the angle α between the vectors 541 and 2-3-5

Q: (b) Use Newton's method to construct a sequence of rational numbers con- verging to √2. Google…

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Q: · f(x, y, z) = x² + y² + z² subject to the constraint 0 = x² - y² + 1

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Q: All computations are correct 2. If p varies directly as s, and p = 14 when s = 3, find the value of…

A: As per our guidelines we need to solve only one question. Please, repost the remaining questions as…

Q: 3. In this function, we're going to minimise the function f(x, y) = x² + y² subject to the…

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Q: Solve using Jacobi’s Iterative Method

A: Given system is 56-3-2952-7-3412-1-743 x1x2x3x4 = -109-28

Q: 2. The following is the historical data of inflation rates in the Philippines from 2011 to 2019.…

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Q: 4. If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined then, a. a shifting theorem…

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