Mathematics

Converting Trigonometric Expressions Into Algebraic Expressions

QuestionShow that the simple extension Q (cos π/9): Q is an algebraic extension and also normal extension.SummaryThe question belongs to Mathematics and it is about simple exten...

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Calculation of Trigonometry Differentiation

QuestionFind f2x sinx4dxSummaryThe question belongs to Mathematics and it is about calculating differentiation in trigonometry.Total Word Count NA

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Check The Tensor Equation Validity

QuestionWhich of the following would be a valid tensor equation? You should indicate if the equation is valid; and if it is not valid, you should state why. v = EijkWijEklmYlm Sum...

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Check The Validity Of Tensor Equation

QuestionWhich of the following would be a valid tensor equation? You should indicate if the equation is valid; and if it is not valid, you should state why.Y3 = Bij3Cij SummaryThe ...

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Calculation Of Yield Of Bond With Face Value $1000

QuestionA bond with a face value of $1000 and 15 years remaining until maturity pays a coupon rate of 10%. Calculate its yield to maturity if it is priced at $900.SummaryThe questi...

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Classify Differential Equations Whether They Are Linear Or Nonlinear

Question Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? a) xy’ – 2y = x b) xy&rs...

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Clothing Manufacturer’s Total Revenue Using Matrix Multiplication

Question A clothing manufacturer has factories in Atlanta, Chicago, and New York. Sales (in thousands) during the first quarter are summarized in the matrix below. During this pe...

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Calculation Of Minimal Polynomial

QuestionLet α be the real number √(5 + √21)1. Express α in the form b√x + c√y with b, c, x, y ε Q.2. Calculate the minimal polynomial of...

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Calculation Of Minimization Using Simplex Method

QuestionSolve the given minimization problem by the simplex methodMinimize C = 6x – 2ySubject to 3x + 4y ≤ 24         7x – 4y ≤...

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Calculation Of Monthly Car Loan Instalment

QuestionA man borrows $30,000 to purchase a car. He agrees to pay $1,000 per month. If the interest rate is 12% compounded monthly,a. How many regular payments of $1,000 are necess...

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Calculation Of Monthly House Loan Instalment

QuestionA house worth $70,000 is purchased with a down payment of $20,000 and a mortgage amortized over 20 years. If the interest rate is 14% compounded semi-annually,a. Determine ...

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Calculation Of Non-Negative Martingale

Question Let (Xn) be a martingale with supnE|Xn| < ∞. Show that there  is a representation Xn  = Yn – Zn where (Yn) and (Zn) are non-negative martingales ...

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