Formulate and solve the following linear program: You are trying to create a budget to optimize the use of a portion of your disposable income. You have a maximum of $1,500 per month to be allocated to food, shelter, and entertainment. The amount spent on food and shelter combined must not exceed $1,100. The amount spent on shelter alone must not exceed $800. Entertainment cannot exceed $400 per month. Each dollar spent on food has a satisfaction value of

Q: Solve the given initial-value problem. y(x): = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 2x 7e…

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Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = How does the…

A: To solve the initial value problem: 25y''-40y'+16y=0 with initial conditions given as,  y0=2y'0=3

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Q: PS1(2) If A, B = Mn(F) and a, BE F, prove that tr (aA + BB) = a tr A + 3 tr B.

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Q: هیمی ۷۰ ولاد V CoS0

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Q: Solve the given initial-value problem. y" + 6y'7y = 11e2x, y(0) = 1, y'(0) = 1

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Q: - State and prove the convergence order of Newton's approach:

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Q: 9. A city has decided to test and re-paint the fire hydrants. They can test and paint 5 fire…

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Q: 3 (i) Given that 3x³ +5x2 + px+8 = (x-2)(ax² + bx + c), find the value of each of the integers a, b,…

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A: given differential equation dydx=x+1y    x≥0, y>0 subject to initial condition y(0)=2

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Q: In 0 below, m/R = 40. T O R mRS=

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" -…

A: We have given a differential equation ,  t2y'' - 4ty' + 6y = 0   ,  t > 0 We have given a one…

Q: (B): If A = 2t + 3j-4k; B=3i-4j+5k and C=i+j-k, find: (1)Ã.B (u)B.C (U)Ã. (B+C)and (A + B). (iv)…

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A: here we can use that the volume integral over vector form is simply integral in different direction.

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Q: Ay Define f by f(x,y)=√ h(t) dt, where h is some continuous function of one variable such that h(0)…

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Q: Find the vertical trace of the function at x = 1: g(x, y) = cos√x² + y²

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