1. Prove that for all x, y ER, max (x, y) = x+y+lx-yl 2 x+y-lx-yl 2 and min (x, y}=-
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Q: (i) Compute the equation of the tangent plane to the graph of the function f(x, y) = 3x²y-2y³ at the…
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A: Given is a combinatorial circuit. To Find: The output of the given circuit.
Q: 2. Write the Taylor's series expansion of the function f(x) = sin (ax) about x = 0, where a 0 is a…
A: Solution :-
Q: Q1. Given the nonlinear equation x = Cos ¹(x²), find the: athod
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Q: Modelling with Indices 10. A person offers you one of two prizes: Prize (A) $1000 right now. Prize…
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Q: tain z = 올n (+롤)
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Q: 9. Solve d²x dt² + 4x + 5y = 1²; d²y dt² + 5x + 4y = t +1.
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Q: Find the gradient of the ellipse 2x2 + 3y2 = 14 at the points where x = 1
A: It is given that the equation of an ellipse is ; 2x2+3y2 = 14 We have to find the gradient of the…
Q: 2. Which of the following is NOT true? a. 3.17 3.07 b. 3.25 3.3 c. 0.425 >0.45 d. 22.32>22.3
A: a) We have, 3.17 > 3.07 = (317/100) > (300/100) Since in number system 3.17 comes right…
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A: Given information Center = 150, 100 Radius = 5 Find the 7-point symmetry.
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Q: Determine the solution of the equation 8-4.5(x-sinx)=0 by using the bisection method. Use & = 0.5%.…
A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…
Q: (a) Find an initial basic feasible solution to the following transportation problem using Vogel's…
A: (a) find the initial basic feasible solution to the following transportation problem using Vogel's…
Q: First, raise P to a high power. The state vector. 1/3 3. P 1/3 = 1/3 1/4 1/2 1/4 8]
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Q: 11. Aviation The number of active certified commercial pilots has been declining since 1980, as…
A: Given: The below table is given: year (x) Total (y) 1980 182097 1985 155929 1990 149666…
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A: We will use general equation of circle x2+y2+2gx +2fy +c=0 ......(1)
Q: *4. Prove that 1³ +2³+ ... + n² = n²(n+1)² for all ne N.
A: Introduction: A strong and elegant method for proving specific kinds of mathematical claims is…
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Q: Write down the heat kernel that satisfies, Pt=.5Pxx-00 0. Using any of the graphing software…
A: Given: ρt=0.5ρxx, -∞<x<∞, t>0. To write: The heat kernel that satisfies the given…
Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…
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Q: Let T: R → Rm be a linear transformation. Suppose that the nullity of T is zero. If {x1,x2,.. 2₁-2 ,…
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Q: Solve the following homogeneous system of linear equations: 5x110x2+10x3-10x4 = 0 -2x7+5x2-2x3+x4 0…
A: Here we have to find solution of given homogenous equation
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Q: 8. Exercise. ²dx T = 26+1 6 Use residues to derive the integration formula
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Q: (a) Show that d(m, n) = |m²-n²| 1+ m²-n²| defines a metric on the set of natural numbers N. Hint:…
A: Given That: d(m,n)=|m2-n2|1+|m2-n2| To Show : a) d defines a metric on the set of natural number…
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Q: Find the solution of the equation zz + Əx² ay² ich tends to zero as x→∞ and has the value cos y when…
A: Given : ∂2z∂x2+∂2z∂y2=e-x cosy To Find : solution of the Equation
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Q: Consider the potential outcomes for each individual i: JY₁i Yoi Y₁ = D₁ = 1 Di = 0 1. Write the…
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Q: 2A.Imani starts her hieyele from rest and accelerates uniformly to a speed of 40 km/h in 6 minutes.…
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Q: B E Let S = {0,1,2). Define * such that a*b = |ab| for a, b E S. Which statement best describes…
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Q: 6. Find complementary function and particular integral of the following differential equation: (D- d…
A: Given : D-12 D+12y=sinx To Find : Complementary function (C.F.) and particular integral (P.I.)
Q: Prove that tan'z = 1/2 in ( 1 + 2 ) w=tan'tz tanw=z Z = Sinw
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Q: The blue curve on the following graph shows the height of an airplane over 10 minutes of flight. The…
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Q: 9. The general solution of = dy dx (a) y-x √xy (b) √y ln y-2√x = √ (c) √y=C- ln x (d) y-√y-In ()+C…
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Q: The imaginary part of G(jo) is equal to zero if find: w Hence, sin 0.80 + w cos 0.8@ = 0
A: Complex number Z=X+iY X=real part of complex number Y=imaginary part of complex number
Q: Determine the solution of the equation 8-4.5(x-sinx)=0 by using the bisection method. Use & = 0.5%.…
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Q: - Let f(x, y) = 3 ln(x) + y where (x,y) R. Consider the following constraint maximization problem:…
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A: We need to explain one example of Fibonacci numbers that can be observe in home.
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Q: Exercise 2.16. Prove the formulas for the equations of lines in the Hyperbolic Half-Plane model.
A: To Prove : The formula for the equation of lines in the hyperbolic plane model
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A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…
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A: Introduction: Laplace transformation is important in the design of control systems. It is necessary…
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Q: 12. Center at (2, m), radius is twice the y-coordinate of the center, and passes through the point…
A: Here given in the problem that a circle has the center (2,m) and Radius r=2m this circle passes…
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