Question 3 Problem: Consider the Initial Value y" +2 y' -24 y=2, y(0)=0, y' (0) = 3. Use Laplace Transform to evaluate A) Y(s). B) [ Problem Solve the given Initial Value

Q: 4. Solve each of these congruences using the modular inverses found in the previous problem. (a) 7x…

A: The given congruence equations are (a)    7x=2 (mod 26) (b)   19x=4  (mod 141)

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A: A plane is flying at an altitude of 10,000 meters and is approaching a radar station at a constant…

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Q: Given the function graphed below, find the following: -4 -3 -2 -1 16 5 3 24 423 -2 -3 -4 12

A: DOMAIN -: THE SET OF VALUES OF x WHERE FUNCTION IS DEFINED. RANGE-: THE SET OF VALUES OF f(x)=y WE…

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Q: Consider the following linear programming problem: Max Z=12 x₁ + 15 x2 s.t. 20 x₁ + 10 x₂ ≤ 60 X₁ +…

A: Here corner points are , (0,0), (0,3),(3,0),(2,2) At (2,2) we have optimal solution.

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A: Let us define the following symbols first.     S(x) : x is a student.     Takes(x, y) : x takes…

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Q: Use the Linearization Theorem to classify the equilibrium point y = 0

A: To Linearization  dydt=ycos(4πey) and classify the equilibrium point y = 0.

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Q: 2k+1 2. ΣK=12k²(K+1)² 3. Σ=1 tan-1(k + 1) – tan^1(k)

A: Using limit comparison test:

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Q: 44 if x = 0 [cost += log tan²t) a dy П and y = a sint, then find at t == dx 4

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Q: 6. y4y' + 5y = 4e³; y(0) = 2, y' (0) = 7

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Q: For each eigenvalue of A, find an associ Find a diagonal matrix D and an inver 0 1 0 1.1 0 0 01 0. 0…

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Q: Let F = . Use Stokes' Theorem to evaluate If cu S curlF.ds, where 2 S is the part of the paraboloid…

A: Given That : The vector field F→=-yzi^+xzj^+xyk^ S is the part of the paraboloid z=13-x2-y2 that…

Q: Question 24 Using Green's Theorem, find the outward flux of F across the closed curve C. F = xyi +…

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Q: QUESTION 3 Use polar coordinates to evaluate the double integral [[2ydA. R is the region in the…

A: To Evaluate: ∫∫R2y dA where R is the region bounded above by x2-2x+y2=0and below by the line y=x.

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A: Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

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Q: Solve for DE y" + 4y' + 3y = cos(e^x)

A: General solution of differential equation is sum of complementary solution and particular solution.

Q: 3. SOLVE USING TWO-PHASE METHOD Minimize x₁-3x3 subject to x₁ + 2x₂ - x3 ≤ 6 x₁ - x₂ + 3x3 = 3 X1,…

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Q: Find the solution of the following Initial Value Problems y(0) = -3 a.) 2y + y = 0,…

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Q: 3. Find an orthonormal basis of the range of the following matrix: 3 0 2 3 -1 0 2 0 Show your work…

A: The range of the matrix A is the column space of A.

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Q: 4. Solve dy d.x. 3y² - x² XU . Note: your solution may be left in implicit form.

A: Use variable separation method after y substitution to solve.

Q: Q.3 Use NRM to find the root of f(x) = cos(x) - x³ accurate to six decimal places with the initial…

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Q: 9. f(x)=3log, x-4

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Q: If s, is the arc length of locus of centre of curvature, then show that 2 √√k²q² +k¹². k² (² e ds₁…

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Q: 4. Consider the Cubic Equation: x³ +3x² = 8x +30 a. Reduce the cubic equation through a change of…

A: The given cubic equation x3+3x2=8x+30 can be rearranged to the standard form as: x3+3x2-8x-30=0 A…

Q: (s+2) s(s-3) b) L{tª(3−2e-³t)²} = a) £¯¹ { L c) L-1 = s+5 (S-1)²+9 ? ||

A: First we will do partial fraction decomposition whenever required then use the formula to find…

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Q: Evaluate the surface integral x² +22 11,²² y where S is the surface represented by r(u, v) = (2 cos…

A: Note: When r→(u,v)=&lt; x(u,v), y(u,v), z(u,v)&gt;, then dσ=||ru→ x rv→||dudv

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Q: Let B be a 2 x 2 matrix such that 7B²-5B+31 = 0. Is B invertible? It so, what are the eigenvalues of…

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Q: Inverse Laplace transform, - x^{(82²+1) (s²+1)(s-3) Select one: O True O False Give your reasons…

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Q: a. Find all the intersection points of the following curves. b. Find the area of the entire region…

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Q: 5. Solve 2y" - 3y' - 2y = 0; y(0) = 1, y'(0) = -1.

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Q: 13. Which is an example of a veto power voting system? A) |{46 : 47, 4, 4, 6, 6, 7, 7} B) {32:11, 7,…

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Q: 44 If 2x=y¹5+y-1/5, then express y as an explicit dy = 25 y. +x. dx function of x and prove that (x²…

A: We will form a quadratic equation for y15 and solve it to get explicit value for y . Then use…

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Q: Question 14 Using Green's Theorem, compute the counterclockwise circulation of F around the closed…

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