DISCRETE MATHEMATICS 2. Solve the linear Diophantine equation 123? + 456? = 111

Q: Let r(t) = (sin(2t), sin(t)) for 0<t<T. Find the area bounded by this curve, rounded off to two…

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Q: How many elements are in the union of four sets if each of the sets has 98 elements, each pair of…

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Q: 3. You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

A: Given equation is , where R is radius of the spherical tank, V is the volume and h is the height…

Q: y = c,e* + cze*, (-00, 00); y" – y = 0, y(0) = 0, y'(0) = 1

A: Solution

Q: Working with Proofs 30. Prove: If A has linearly independent column vectors, and n Ax = b is…

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Q: Show that f(2) = (2-1) cos) singue has an essential z + 2 at 2=-2

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Q: 1. Simplify the expressions then evaluate where possible, showing all steps. Express your answer…

A: As per the guidelines I had solved the questions with three sub parts. Thank you.

Q: Question 21 Mac's credit card statement included $1843.00 in cash advances and $42.94 in interest…

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Q: y - 2)2 + (x-2)2 . Find the direction of heat flow in the plate at the point (2, 1). Heat flows in…

A: Introduction: The gradient of the temperature function at the point is the direction of the greatest…

Q: Question 4 Solve the initial value problem: y' -0.03y+ 6 y(0) = 50 %3D y(t) = %3D

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Q: Simpson's 1/3 Rule at x = [0," where n = 4 f(x) = eSin x Simpson's 3/8 Rule at x = [0," where n = 5

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Q: R.2. Can you give an example of a function g:N→N such that g maps N onto N but g is not one-to-one?…

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Q: = 3e2x and y,, = x² + 3x are respectively solutions of у" - бу' + 5у -9е2х y" – 6y' + 5y = 5x² + 3x…

A: General solution y(g)= y(h)+y(p)

Q: what is the fuzzy power set ? And give examples

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Q: The curve with polar equation 24 3 cos 0 +4 sin 0 = is a line. Find the slope and the y-intercept of…

A: Given- The curve with polar equation 3cosθ+ 4sinθ = 24r is a line. To find- Find the slope and…

Q: Here are three functions that are related to each other. Correct! Tries: 3 One is f(x). Another is…

A: Given are three curves with different colors that represents function f(x), f'(x) and f''(x)   To…

Q: (a) Consider the real linear map T: R' - R', expressed as follows: X1 + 2x2 - x3 4x1 + 9x2 - x3 X1 1…

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Q: 16. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Question 11 Nancy read one third of a book, then she read one fourth of the remainder. If there are…

A: Let number of pages of the book be n.  Then first Nancy read one-third of the book, i.e, n/3 pages.…

Q: Question 9 of 25 An equation of an ellipse is given. (a) Write the equation of the ellipse in…

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Q: Here are three functions that are related to each other. Correct! Tries: 2 One is f(x). Another is…

A: Given is a graph showing three function f(x), f'(x) and f''(x)   To Find: Which color function is…

Q: Faith is decorating the outside of a box in the shape of a right rectangular prism. The figure below…

A: The surface area of a solid object is a measure of the total area that the surface of the object…

Q: { (1, 2, 1), (2, 1, 5) , (1, –4, 7) } (i) Prove that is linear dependent subset of R³. (ii)…

A: A set is linearly dependent if and only if one vector is linear combination of other vectors.

Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: Given: We have given integralI=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: You want to buy a new car. You can afford payments of $500 per month and can borrow the money at an…

A: From the given data,A=$500 per month.Interest rate of 5.7% compounded monthly for 5 years.

Q: at value does this series converge at x = 1? Explain. itial-boundary value problem du 3 a?u 0 0 %3D…

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Q: sod ue pui-'t have found all solutions. b) 2 c) 3 d) 4 5. Find all positive integers n such that (n)…

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Q: Evaluate the integral by changing the order of integration in an appropriate way. 18 + z) dx dy dz…

A: Evaluation of triple integrals by Using order of change of integrals

Q: Place the data below in a frequency table with uniform intervals 5.5 – 10.5, 10.5 15.5, etc. Then…

A: Use the following formula, to get the solution. Mean, X¯=∑fmNMedian, M=L+N2-cffiMode,…

Q: what is a maximum spanning tree And give examples

A: The given question is related with graph theory. We have to define maximum spanning tree. Also we…

Q: Calculate the present value PV (in dollars) of an investment that will be worth $1,000 at the stated…

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Q: Derivative of f(x) = cos(x) For each x-value indicated, drag the purple dots up or down to represent…

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Q: Let C be the curve which uses straight line segments to travel from (0, 0) to (0,1) to (2,0) and…

A: The curve C is the line segments travels from 0, 0 to 0, 1 to 2, 0 and then back to 0, 0. Draw the…

Q: 2. Calculate the following sums: a) 8 n i=1 , , where n 2 1 b) E (2 × 3 i ), where n 2 1 n i=1 c) E…

A: Given series are  a∑i=1n8               where n≥1b∑i=1n2×3i     where n≥1c∑i=8n3×i     where n≥8

Q: 31. Determine whether the given relation is reflexive, symmetric, transitive, or none of these. D is…

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Q: eger n such that (n) = 14. %3D Euler phi-function for producing the term. Euler phi-function for…

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Q: Determine the matuix that can becised to define rotatoon throwgh T about the point (2,-1).Find the…

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Q: 7. Find the general solution of the system: (9 3)자+(1) X = et

A: Given the system is X¯¯'=02-13X¯¯+1-1et

Q: A square matrix A is idempotent if A? = A. Let V be the vector space of all 2 × 2 matrices with real…

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Q: 2. Show that if a > 0, then the sequence (n²a?e¬n*) coverges uniformly on the interval [a, ∞), but…

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Q: Hw.1. Solve the integral equation g(s) = f(s) + a S,(s + t) g(t)dt

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Q: 3. Solve. Check your solution. log, (x +4)+log,(2r – 3) = log, 6

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Q: Romberg Integration with 5 and 8 segments e* Sinx dx o 1+ x2

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Q: Q1/ Solve the differential equation by Undetermined coefficients. d²y dy 1- -3- e3x + 12x %3D dx2 dx

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window…

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Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: For 7x - 4y-11=0, (a) Write the equation of the hyperbola in standard form. (b) Identify the center,…

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Q: pute the Fourier sine series expansion of f(x) = 3x – x² on [0, 3]. nat value does this series…

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Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

A: To find- Determine the periodic payments PMT on the given loan or mortgage. $600,000 borrowed at 3%…

Q: A Markov chain has the transition probability matrix 0.2 0.6 0.2] 0.5 0.1 0.4 0.1 0.7 0.2| In the…

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