dy dx √√₁² 2 = - X

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Q: Complex Numbers using Scilab (4−5i)(12+11i) (−3−i)−(6−7i)(−3−i)−(6−7i) (1+4i)−(−16+9i)…

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Q: Determine the orthogonal trajectories to the given family of curves. x² + y² = 2cx

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Q: Problem 4. Show that the following functions are linearly independent in the vector space C[0, 1]:…

A: Given : i ex , e-xand e2x            : ii 1 , ex+e-x and ex-e-x To Prove : Given function h…

Q: (g) Explain whether every local maximum and minimum of h occurs where h' equals zero or does not…

A: We know that when the slope of the tangent at a point of a function is zero then the derivative of…

Q: Numerical Response 1: * Point P(5a, 3a) where a>0, lies on a unit circle. The value of a, to the…

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Q: Q.3 State Euclid's Algorithm with example

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Q: The dividend was divide by another polynomial, resulting in the given quotient and remainder. Find…

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Q: Convert x/(x-9)(x-10)(x-11) to factor polynomial

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Q: Consider the function f given by 2x 2-x tan x if x ≤ 0, if x > 0, which is continuous at x = 0.…

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Q: The function s= - +³ + 3t² -3t, 0 st≤ 4, gives the position of a body moving on a coordinate line,…

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Q: A bank account that earns 5% interest compounded continuously has an initial balance of zero. Money…

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Q: 4. Consider the following function definition: F:S Z+ The set S is the set of all strings containing…

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Q: When you sign up for a movie service, you get three free months of movies. Then you are charged $15…

A: Given that he is  charged $15 per month to rent movies and he pay $90, He get the service for paying…

Q: Home Work NO.1: Fourier series 1 - Find the trigonometric Fourier series for the waveform that shown…

A: Given that

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: 1. $7,500 invested for a period of 2 years and at 6% compounded yearly. Calculate a. The total…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Shelby invests $3,000 in a bank account that earns 6% in interest, compounded annually. Thus, the…

A: Given that, Shelby invests $3000 in a bank account that earns 6% in interest, compounded annually.…

Q: Let T denote the triangle with corners (1,0), (2, 3), and (0,3). Com- pute ff 2x-3y dA.

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

Q: Use the linear approximation of f (x, y, z) = √/5x² − 3y² – xy + 5z³ at the point (-2, 1, 1) to…

A: Use taylor approximation of first order

Q: Find the Perimeter of the following shapes: 2x + 1 3x 2. 4x + 5 3x-2

A: Perimeter is the length of total size of outer layer. (1) In this image we will Sum total length of…

Q: --hours for assembly ng. The maximum lab bly and finishing are a system of linear ine on.

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Q: Bruce's Material Company hauls gravel to a construction site, using a small truck and a large truck.…

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Q: Prove that if A, B, and C are arbitrary sets and A −C ⊈ A −B, then B ⊈ C. I dont know how to prove…

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Q: Y' = 2 (1+2) y' 2

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Q: Prove that c(n, n − 2) = 2(3)+3(2). -

A: Given: L.H.S.=c(n, n-2)R.H.S.=2n3+3n4To prove:  L.H.S.=R.H.S.

Q: A connected graph has 38 even vertices and no odd vertices. Determine whether the graph has an Euler…

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Q: 3. When The polynomial 8x^3 + 10x^2 − px − 5, is divided by 2x + 1, there is no remainder. What is…

A: Given :- The given polynomial is 8x3+10x2-px-5 is divided by 2x+1 then remainder is zero. To find:-…

Q: Find the spectral decomposition of A given that A € M3x×3 (C) is a normal matrix with eigenvalues 1…

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Q: 2. If 4 times a number is added to 5, the result is 35 more than the number. Find the number.

A: We follow the instruction of the question to find the desired number.

Q: у"+бу+ду= ве 23+1

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Q: For the set of data {·A·B·0} find the line (t) = at+b that provides the best least-squares fit.

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Q: 2. What is the least residue of 610 C 512 10.4512 (mad 1112

A: Euler's theorem is used

Q: Find an upper bound for the Lagrange interpolation error for the following two functions f(x) and…

A: Here, we need to find an upper bound for the Lagrange interpolation error for the following two…

Q: Suppose f(x, y) = xe -8x²-8y². Answer the following. ● 1. Find the local maxima of ƒ. List your…

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Q: 2. Start with the quadratic function: f(x) = ax² +bx+c and follow the steps below. (a) Step 1: Show…

A: Please post one question at a time

Q: (a) (5.18) Find the Newton's Divided Difference interpolating polynomial for the points (-h, 0), (0,…

A: (a) x                  fx                    1st order                                  2nd order…

Q: n does not equal to 22K+1. It should b 2^2k+1.

A: As per the question we are given a number n as the following form :  n = 22k+1   And we have to show…

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A: Given :  y1''=2y1+y2+y1'+y2'y2''=-5y1+2y2+5y1'-y2'    ,  y10=y20=y1'0=4   , y2'0=-4 To Find :…

Q: G Select all of the vectors that are not in the span of {u₁, u₂}. Let u₁ = and U₂ = -9 * -8 A. The…

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Q: Match the equation with its graph. ฿ +2²=1 0 + 16

A: Ellipsoid:    An ellipsoid is a 3D geometric figure that has an elliptical shape. An ellipsoid has…

Q: The trace of a square n x n matrix A = (aij) is the sum a₁1 + a22 + ... + Ann of the entries on its…

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Q: 3. Consider the Möbius transformation M(z) = 32. (a) Suppose z oo, (-4/3). Write w = 2+2 32+1 that…

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Q: 1 If p is an even integer and q is an odd integer, then p3 + 2q2 is an even integer.

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Q: then BCA > CAB. Let AABC be a triangle such that 0 BC,

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Q: Show that the following data are exponential and find a formula for an exponential model. t f(t) t…

A: Given, t f(t) 0 448.00 1 488.32 2 532.27 3 580.17 4 632.39 5 689.30 We have to…

Q: Find the spectral decomposition of A given that A € M3x3 (C) is a normal matrix with eigenvalues 1…

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Q: (a) By computing the coefficient of zN-1 on the right hand side of Equation (2), show that the sum…

A: As per the question we are given the following equation : zN - 1 = (z - ζ0) ... (z - ζN-1) Where ζ0…

Q: Compute the relative rate of change for a power function, that is, a function of the form f(x) =…

A: Given : fx=Axn for positive constants A and n. To find the relative rate of change for f(x) and…