dt dy dt ind the general solution for x(t) and y(t) olve the initial value problem x(0) = 1, y(0) = 1 Your answer should include the eigenvalues and corresponding eigenvect All your work x + 2y

Q: of Given f = xy² In (3y + 2x) + (xy)e™, find dy O None of the choices af ety 3.xy² 3y+2x + (2xy²)…

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Q: 1. Express the following in A+iB form. (3+4i) (1 - i)³ (1+√31) ¹2(-7+241)

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Q: Given the following data, find y'(6) X 0 2 3 y 4 26 58 4 112 7 466 9 922

A: We have to find the value of y'6

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Q: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the…

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

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Q: The terminal ray of angle in standard position passes through the point (-0.8, -0.6) on the unit…

A: Given: The terminal ray of angle θ in standard position passes through the point -0.8, -0.6 on the…

Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t − 3)y' + (t − 6)y = 0…

A: Wronskian of two solutions

Q: The following linear equations G write the system f equations in the from AX= B 5X-3 Y: 2 4x + y =…

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A: Since derivatives of F(t) represent the rate at which the fraction F(t) of burnt out bulbs increase…

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Q: 1. Let a, b E Z such that the remainder in the division of a by b is 140. If 3b has remainder 105 in…

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Q: If the present value of a cash flow at an annual rate of interest of 4.5% is $30000, what is the…

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: 3 5 2 -1 -7 -3 -3 2 1 2

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Q: Show the surface area and volume of a sphere with radius ris 4πr² and ³ respectively.

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Q: Below is a graph of f'(x), the which is the derivative of the continuous function f(x). 5 f'(x) -4-…

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Q: A system of two equations in three unknowns has been manipulated, and after correctly using…

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Q: 3. If A and B are ANY two sets, determine the truth-values of the following statements. If a…

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Q: 2. Determine if the series converge or diverge, using Integral test. 3ne-n² n=0

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Q: Consider the following differential equation: d² u =f dx² du(1) dx du (0) = α, a ER dx where x € (0,…

A: As per the question we are given an initial value problem as : -d2u/dx2 = f With initial condition :…

Q: Explain why a level of significance of a = 0 is not used. Why is a level of significance of a = 0…

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Q: The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit is…

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Q: 11 at m<n. Then 5 are not factors has a sim of n.

A: Introduction: The ratio of given two numbers could be represented as a factor less than one always…

Q: Find the coefficient of the given term when the expression is expanded by the binomial theorem. x²y…

A: Here we can use general expension.

Q: 6+ 5- 4 نیا 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -6+ The point symmetric across the x-axis is ( The…

A: We will find the point symmetric across  x-axis, y-axis, origin.

Q: Find the volume of the solid below the function z = f(x, y) = y√√x and over the quarter disk of…

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Q: use graphical methods to solve the linear programming problem. Minimize z = 4x +5y subject to 2x-4y…

A: The given problem is to solve the linear programming problem over the given constraints by using…

Q: b) (D² +₁²) x = a sin(n+ +2), where x= D X = O X=DX = 0 at t=0

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Q: Let y = f(x). (a) Write down the general formula for the equation of the line tangent to f(x) at…

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Q: Use the Table of Integrals to evaluate the integral. dx e*(5 + 10e*) Select the correct answer. O-e…

A: Use the given integral.

Q: Find the general solution to y = c₁e¹¹ + c₂e(8-√³)² + cze(8+√7)₁ Oy=c₁e¹¹ + c₂e³ + c3e-81 Ⓒy=c₁e¹ +…

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Q: Evaluate the following integral to calculate the mass Mass-(x+2y) A where R is the region shown in…

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Q: Show the surface area and volume of a sphere with radius r is 47r² and ³ respectively.

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: Technical Question: Which of the following best characterizes the statements, where A and B are any…

A: Introduction: Sets are the most important part of modern algebra. Many complex scenarios can be…

Q: Solve the following differential equations of [x²D² + 3xD-3]y=x

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Q: Solve the following simultaneous linear D.E. 1 6 [²D+ ₁ D + ¹])} = {e} 7 }{}

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Q: A region bounded by f(y) = √√y + 1, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

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Q: P 2. diverges. n ) Determine weather the series n=1+1 converges or

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Q: 13 37) Solve the following simultaneous linear D.E. [D - 1 D-21 D-5 2D-7] = (67) 74

A: We have to solve the given simultaneous linear DE.

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y' - 18y = 0,…

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Q: homogeneous boundary value problem Consider nontrivial product solutions u(x, t) = T(t)X(r) # 0 of…

A: We get two ordinary differential equations from this partial differential equation. There need a…

Q: 2 = sin5t constitute a fundamenta L

A: Y1=cos5t and y2=sin5t  do not a fundamental set of solutions of differential equations y"+16y=0

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: here we can use all the conditions of max , min and inflection.

Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0, -∞ <t<∞o; ux(0,t) = s(t), -∞ <t<∞, where…

A: From the given details above we have,

Q: 5 2 X-1 d x

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

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Q: 1) Give the Interval of existance for the Solution to the initial valve problem. (+²-16)y" + Cos(4+)…

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