(D² -1)y=2(1-e-2x)-1/2

Q: Find the maximum value of the objective function z = 8x + 2y, subject to the following constraints.…

A: To find the maximum value of objective function subject to the constraints.

Q: Use the trapezoidal rule with five intervals to evaluate the integral 2 Type your final answer below…

A: The given function is fx=1x2-6x+10 To find: ∫23fxdx by trapezoidal rule.

Q: If the length of one side of a cube is 4 m. Find its Volume.

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Q: Q1 Solve the ordinary differential equation y'+4y=3x³, using Runge-Kutta method wit Xo-0. Yo 1,…

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Q: How much should be placed in a fund every 3 months in order to have Php350,000 in 4 years if the…

A: The formula for future value of an annuity is defined as, F.V. of Annuity=P1+in-1i where, P=Periodic…

Q: 1. Evaluate the following limits: x³-1 5x²-x-4' 3. Let f(x) = 4x² + 3x-2, Find: a) lim f(x) X→-1 if…

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Q: Determine area the top and all side of a platform below. 6m -2.65m 115°

A: Consider the diagram below, The height of the parallelogram will be find by using trigonometric…

Q: x ²" (t) + ¢ x (t) = t + 4 where: X (0) x² (0) = 0 X

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Q: Using the least squares approximation, the best fit an exponential curve y = ea(x-b) to the given…

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Q: Q3. a) Solve the following first order differential equations, clearly showing all calculation steps…

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Q: Consider the function. 5x f(x) = √x² +1 Identify the domain of f. (Give your answer as an interval…

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Q: 2. The value of f(x) dx = ..., for each Chebyshev polynomial T₁ (x), n ≥ 0. √1-x² c) 0 d) None of…

A: The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions,…

Q: For the given probability density function, over the given interval, find the mean, the variance,…

A: This is a question from Theoretical Distribution.

Q: -6 -5 -4 -3 -2 -1 Equation: 9 5 ✦ 3 +4 or 0 + 2 -3 + -5 2/3 ➜X

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Q: Q.25) Find the area of the region enclosed by the cardioid r=3(2+2cos0)

A: To Find: Area of the region enclosed by the cardioid r=3(2+2cosθ).

Q: Consider the system dx xy, dt dy 4 - 4x - 2y. dt 1. Determine the nullclines of the system and…

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Q: Ryan was building matchstick square sequences. He used 4 matches for the first square, followed by…

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Q: 1. How many grams of a drug are there in 850 ml of a 1 in 130 w/v solution ? state andwer to 3…

A: Note: according to our guidelines we can answer only first question  1)   Given solution is 850 ml…

Q: 8. Translate the following Hindu-Arabic numeral into the equivalent Roman numeral. 365 In Roman…

A: C stands for 100. L stands for 50 in Roman number. So for 300 the equivalent Roman number is CCC.

Q: 11 12 - 53 6 Given v = " 109 12 find the coordinates for v in the subspace W spanned by -1 4 U1 = -4…

A: We will write v as linear combination of u1 and u2 and then find values of

Q: during typhoon ambo, Pagasa tracks the amount of accumulating rainfall.for the first three hours of…

A: Given- During typhoon Ambo, Pagasa tracks the amount of accumulating rainfall. For the first three…

Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: Suppose S is a cone parametrized as follows: If F(x, y, z) = (y, —x, -3z), evaluate the flux…

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Q: Question 2: Determine the nature and stability of the equilibrium points of the system dz = z-y+z²,…

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Q: (a) Let f: R" → R be a function given by f(x₁, 2,...,xn) = x²₁₁x²2x², where n = 1. Show that the…

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Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c, where a,b…

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Q: Note: - d= -²-1 (a) Ti You are attempting question 4 out of 12 C:= = 4 equal to,

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Q: (b) Show that the function defined by xy √√√²+y² f(x, y) 0 if (x, y) = (0,0) is not differentiable…

A: We have to show that the function defined by…

Q: Q2) Let(M₂ (R), +..) be a ring. Prove H = {(a) la, b, c = R}is a subring of (M₂ (R), +,.).

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Q: Which of the following statement is always false? (a) For all integer x, [x] = [-x] (b) For all odd…

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Q: (a) Write the sum: using E-notation. 21

A: Note: since you have posted multiple problems. As per our guidelines we are supposed to solve only…

Q: 5. How many positive integers between 50 and 100 a) are divisible by 7? Which integers are these? b)…

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Q: Consider f(x) = sin(x²). Is the function even, odd or neither, and which conse- quence does the…

A: A Fourier series is a sum of sine and cosine waves that represents a periodic function. Each wave in…

Q: (a) Assume that g(x, y) is a function of the form g(x, y) {} 0 if (x, y) = (0,0). (i) Show that…

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Q: (a) Prove the convergence or divergence of each of the following series: 1! 2! 3! n! (i) + + +. + +…

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Q: All vectors are in R". Check the true statements below: A. If I is a line through 0 and if ŷ is the…

A: Solutions

Q: Let p>5 be a prime number prove that expression p^4-10p^2+9 is divisible by 1920.

A: A top wide variety is a herbal wide variety large than 1 that isn't always the made of lesser herbal…

Q: tf:R→R: 3x³ + 2x² - 4x. . Find all Legendre coefficients for f. . Explain how you can use the result…

A: We have to solve given problems:

Q: Question 2 (a) Let p, q and r be the following propositions concerning an element n of the set {0,…

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Q: let f: R^ -> R be a function given by 2 f(x₁, x₂... x₁) x.x²2. x²n, where = € 2.1 Show that the…

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Q: 12. If the x-term is missing, then the quadratic equation cannot be used.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Suppose A, B, and C are all n x n matrices, then a. A 0 = = -|A| x |C| в с B C A 0 с В 4 n B C Rx C…

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Q: Suppose S is the cylinder parametrized as follows: Set up a double integral that represents the…

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Q: Write the number 5104 as a Mayan numeral.

A: Introduction: The Hindu–Arabic numeral device or Indo-Arabic numeral device (additionally known as…

Q: Evaluate the sum and express your answer in Cartesian (rectangular) form of the complex number

A: Given- ∑n=0∞ejnπ2  To find- Evaluate the sum and express your answer in Cartesian (rectangular) form…

Q: x+ dz Obtain a numerical solution of the differential equation initial conditions that at x=2, y=1…

A: Solution :-

Q: If the coordinates of a triangle are given, then, its area may be solved using the formula 1 |X1 Y₁…

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Q: Write an iterated integral for JJdA over the region R described to the right using R a. vertical…

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Q: Determine whether the following statements are true or false. Justify your answer with a proof or a…

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Q: Analyze the given system for b > 0, (fixed points, stability, bifurcation point, limit cycle, etc.).…

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