DISCRETE MATHEMATICS 1. Find the multiplicative inverse of a) 244 modulo 133 b) 3112 modulo 522

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: 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: R.4. Let f:R→R be defined by f(x)= 2x² – 3, and let A=[-5,3]. Find f[A]. f'[4]: S[S"[4] , and…

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Q: 9. Use the method of Laplace transform to solve the initial value problem y/" + B*y = (a² + 3?)eat,…

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

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Q: (THANKS FOR TUTORING ME)After a dreary day of rain, the sun peeks through the clouds and a rainbow…

A: Assume that plane is taking off from the right.

Q: Question 17 Given A = {–1, 0, 1, 2} and B = {3, 4, 5, 6}. Which of the following is a function from…

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Q: Question 13 The maximum amount an individual can contribute to her Registered Retirement Savings…

A: The maximum contribution for RRSP is 18% of an individual's earned income or the lesser of $22,450.

Q: Use the Fundamental Matrix solution to solve the following initial-value problem: 20 1 0 2 0 0 1 3 X…

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Q: :Q1Solve the second order differential equation Y " – 5Y' + 9Y = 0

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Q: R.6. Suppose f:X → Y, and let A, B be subsets of Y. Prove that f-1[An B] = f-1[A] n f-1[B]. (Recall…

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Q: 2. Evaluate, using the laws of logarithms. 2 43 log4 64 x V64* 46 256 +log,

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Q: 0 0 16 11 1 1 1 1 %3D 11 1 1 1. Given the matrix A, find the determinant, adjoint and inverse.…

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Q: 28. For each function, sketch the graph of y = f(x) and find an expression for f'(x). Indicate any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the third order Cauchy-Euler equation at³y" +bl²y/" +cty/ + dy = 0. (a) Use a change of…

A: (a) The given differential equation is at3y'''+bt2y''+cty'+dy=0.........(1)

Q: A loan of $19,312 was repaid at the end of 15 months. What size repayment check (principal and…

A: Given : P = $19312 ,    t = 15 months  ,  r = 11% = 0.11

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

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Q: [(2y² + 3y') + (2y)] y', = 4x° + 12x

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Q: 4 Find the singular values of [2 2 %3D 1 -

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

A: Solution

Q: Let f:R2→R be the function defined by f(x,y)=−(x−4)2−(y−4)2. a) Calculate the critical points of…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

Q: 1. Write a paragraph at a level that a high school student would un- derstand that explains your…

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Q: Let f : R2 -→ R and suppose that lim f (x, y) = -10. (х, у)-(3,0)° What can you say about the value…

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Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

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Q: Given f(x)=3, determine the value of a for which * + 1) - f(x-1) = a x f(x)

A: Given function isfx=3xfx+1-fx-1=a×fxThe value of a for which the above relation holdsis determined…

Q: Find the extreme values of the function f(x,y) subject to the given constraint.  f(x, y) = 4x + 6y,…

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Q: ew quadratic form 4x, 4xx2 - x What is the most preciso classification for the quadratic form? OA.…

A: Sol

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

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Q: Consider the large mixing tanks show in the figure. Suppose that both tanks A and B initially…

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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: Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become…

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Q: 3. (a) Estimate the area under the graph of f(x) 1/x from x=I to x 2 using four approximating…

A: We will divide whole interval into 4 sub part and draw rectangle in each subpart depending on method…

Q: Question 10 Change the Cartesian integral to an equivalent polar integral, and then evaluate. 15 225…

A: Conversion of Cartesian coordinates integral to polar integrals

Q: Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

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Q: Q3/ solve Partial Differential Equation a2u 1- дхду ey cos x

A: To solve the given partial differential equation

Q: Example :- Salve the hallowing equations:-

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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: Consider the following difference equation y (n) + 5y (n- 1)+ 6y (n – 2) = 6 (n) at the initial…

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Q: The blue whale feeds on krill, a small shrimp-like animal of length 2 to 5 cm. Suppose that the…

A: Given that, the density of krill is ρx=0.70xe-0.0001x                             1 the total number…

Q: Solve the Higher order differential Equations. (Choose one only) d*y d?y 4 + 4y = 0 dx2 1- dx4 d*y…

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Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

A: Pictures will be something like this with red portion being cut Height of the cube or cuboid will be…

Q: Find the area of the region bounded by the curvesr = 2 cos 30 and x = y – 1.

A: The curves given are as follows: r=2cos3θx=y2-1 We know that x=rcos3θ, y=rsin3θ.…

Q: Find a Möbius transformation mapping the unit disk D oto the right half- plane and that maps -i to…

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Q: or false. Justify the answer and in case a proposition is false, provide a suitable counterexample.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 4. State all the values of x in which f(x) is not differentiable. Justify your answer. x+ 1 b) f(x)…

A: a Consider the following figure. Since, we can draw infinite tangent at point x=-1 and x=2. Hence,…

Q: What is the vector where it is orthogonal to the eigenvectors

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Q: Question 5 Let a and b be positive real numbers and 6+ 1. Find a+6 if the exponential function f(x)…

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Q: 2. Find the value of the Euler phi-function at each of these integers- e) 10! b) 256 d) 2.3-5-7-11-…

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Q: X Your answer is incorrect. Find the exact arc length of the curve over the stated interval. y = 5x2…

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Q: n equation of an ellipse is given. a) Identify the center of the ellipse. (b) Determine the value of…

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