QUESTION 23 Find the maximum value of Q(x) subject to the constraint x'x= 1. Q(x) = 2x,? + 9x,? + 4x3? O A. 2 О В. 18 O C. 1 O D. 4 O E. 9

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Q: 2.- The determines the undamped forced oscillations of a mass on a spring. The values of mass m,…

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Q: 1. Find the orthogonal trajectories of the family of curve a2+3y2 = cy ,where c is an arbitrary…

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Q: 1) Suppose the charge on a capacitor in a simple electric circuit is governed by the IVP 2y" + y +…

A: 2y''+y'+2y=f(t),  y(0)=0, y'(0)=0 Put f(t)=δ(t-5)      at t0=5 ⇒2y''+y'+2y=δ(t-5)

Q: Question 1 [ 1 a. [ ] Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y)…

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Q: Find the maximum of U.  Find the optimum using the the Lagrangian method: U=(x+3)(y+5) subject to…

A: Given, Ux,y=x+3y+5 with the constraint Vx,y=3x+2y-30.Using Lagrange mulitplier'sUx=λVxy+5=λ3y=3λ-5…

Q: Question 1 [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) = xy…

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Q: 1. y21 yS 4 Ax, y) = x+ y Minimum: Maximum:

A: Topic - linear programming

Q: Find the exact extreme values of the function := (r, u) (r-3)² + (y- 2)² + 210 %3D subject to the…

A: The given function is z=f(x,y)=(x-3)2+(y-2)2+210 Subject to constraints:  x≥0, y≥012x+20y≤240

Q: Q.2, a, Solve he initial valve problem * (2+x) dy + 2(1+x)y = 1+3x² y(-1) = 1 %3D by Find an…

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Q: Question 2! Let f(x, y) = 1- y³ - 2yx² + 3x² + 3y² and h(x, y) = x² + 2y². a) Find all the local…

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Q: Question 4 A consumer is maximising her utility function: U(1, v) = (205 + y03)², subject to the…

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Q: 1) A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature…

A: We solve this by following method

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Q: Find the maximum of U.  Find the optimum using the the Lagrangian method:   U=x1^(1/2) * x2^(1/2)…

A: The given function is U=x112x212 and the constraint is 50=5x1+10x2. We can rewrite the function…

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

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Q: 4. Consider the problem x1+ x2 -x +2x2 s -1 2x1 - x2s -1 *1, X2 2 0. max s.t. Try to solve this…

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Q: from the initial solution (x1, X2)= (0,0) perform 2 interactive iterations of the gradient search…

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Q: a) Find and classify all the critical points of 1 1 f(1, v) = * +* + y°. 3 b) Find the absolute…

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Q: i. Discuss and sketch the curve x² + 6 x = -8 y – 25 ii. For the curve y = x3 – 6 x2 + 10 - (a) Find…

A: (i) Given equation of the curve is x2+6x=-8y-25 This can be rewritten as,…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.