Find two positive real numbers x and y such that they add to 123 and  x2y  is as large as possible. (x, y) =

Q: Find the maximum value of 13x^2- 8xy+ 7y^2subject to x^2+ y^2= 1.

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Q: Give the general solution to the equation x' Ax where A = %3D

A: To find the general solution of the given system, first we find the eigenvalues and corresponding…

Q: Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

A: The given equation is x3+y3=3z2+9w2+3. We have to prove that there is no integer solution to the…

Q: Solve for all possible values of the real numbers z and y in the following equations. 35. +iy =3i-4…

A: A complex number is a number that can be expressed in the form a+ib, where a and b are real numbers,…

Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Solve for ∂w/∂y and ∂w/∂x w=(1-2y)(x2-xy)

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Q: Solve the linear system

A: 2x+3y=4x+2y=3over Z7

Q: (B) Find the solution of f(z) = x'+6x'y+i 3x'y by using Cauchy-Riemann method

A: we have to solve the given problem

Q: Find positive numbers x and y satisfying the equation xy=20 such that the sum 4x+y is as small as…

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Q: b. The maximum deflection of a beam occurs at x satisfying 2x? – 3Lx + L? = 0 Where L is the length…

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Q: : A plate whose shape is given by x 2+y 2 ≤ 1 is heated so that the temprature T(x, y) at the point…

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Q: Find the extreme values of ƒ(x, y) = x2 + y2 - 3x - xy on the disk x2 + y2= 9.

A: We have to find the extreme values of ƒ(x, y) = x2 + y2 - 3x - xy subject to x2 + y2= 9

Q: Find the best quadratic approximation, Q(x, y) of V9 + 7x + 5y for (x, y) near (0,0), Q(x, y) :…

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Q: erify the result C(X"X) = C(X") for %3D x-(; ) X = -1 0 %3D

A: We have to solve given problems:

Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: Calculate the real values of x and y such that (x+jy)^3 is real and [x+jy] is 8.

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Q: z² - xy = 2 at the point (2, 1)= %3D

A: We have to find the slope of the line tangent  to the given curve.

Q: If x < 0 and y > 0, determine the sign of the realnumber. xy2

A: Given that, x < 0 that is x is negative. y > 0 that is y is positive.

Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² +…

A: The number is 1z2 where z=x+iy

Q: Let x, y be the unique solution of x' = y y' = 0, y(0) = 1. = -x x (0) Show that x, y verify x2 + y?…

A: Given x' = y                   (1)y' = -x                (2)x(0) = 0                    (3)y(0) = 1…

Q: Prove that the following equation has no natural solutions x? + x +1 = y².

A: we have to prove that given equation has no natural solution

Q: Find positive numbers x and y satisfying the equation xy=24 such that the sum 4x+y is as small as…

A:

Q: Write down all of the product solutions satisfying: и +иу —D 0, 0 <x<2, 0<у<1. %3D u(х,0) — 0, и,…

A: Note:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: Let f(z) =z² – 40, g(z) = 3z – 5. Solve for z exactly: f9(=}) = 0

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Q: Find the domain of y = 3x+3. %3D X S-1 O x 2 -1 O x > 1

A: NOTE: Refresh your page if you can't see any equations. . as we know square roots of a negative…

Q: x, prove that y¨= 2(y² +1)(3y² +1).

A:

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1). %3D

A: For part a). Given that                      y' = 2(2x-y) =4x-2y                      y' + 2y = 4x…

Q: Find (x, y): R = {(x, y): 0 ≤ y ≤ √√x² +1,0 ≤ x ≤ 1} about the x-axis.

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Q: Find the real roots of y''' + y = 0 with constant coefficients

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Q: 2- Show that: 2 J1(x) = (-1)m x2m+ (2m + 1)! m=0

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Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: 2. у" — у' — х %3D 0

A: To solve the given differential equation.

Q: If x &lt; 0 and y &gt; 0, determine the sign of the realnumber. x2y

A: Given, The real number is x2y.

Q: Find the extremum of f(x,y) = 3x2y2 +2y2 + 2x2.

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Q: - 9y" = 27 %3D

A:

Q: Calculate the real values of x and y such that (x + jy)³ is real and |x +jy| is 8.

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Q: Use the Runge-Kutta method to solve the equation y" = xy' +y for x= 0-0(0-2)2-0 given that at x = 0,…

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Q: Find positive numbers x and y satisfying the equation xy = 16 such that the sum 2x+ y is as small as…

A:

Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: Prove that the equation Z = 1 has no ++ solutions in positive integers x » Y, Z.

A: Assume some value and substitute it many times taking different domains like integers, whole numbers…

Q: Find de máximum and minimun of the equation f(x)= 2x^4+x^3, [-4,-1]

A:

Q: Find all solutions of the equation in the interval 0, 2n). V3 cot0-1=0

A: To solve:  3cotθ-1 = 0

Q: If x &lt; 0 and y &gt; 0, determine the sign of the realnumber. xy

A: Let x&lt;0 and y&gt;0

Q: (g) Any separable equation M(x)+N(y)y' = 0 is also exact. %3D

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy

Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: Find дхду of z %3 In (x? - у) -2х дхду (x²–y)² 2ху дхду (x² –y)² 2х дхду (x²–y)² O. 1 %3D дхду…

A: Givenz=ln(x2-y)To find∂2z∂x∂y

Q: Show that Y, CX) = x is one of this functio %3D Solutions: x*y" + 2 xy' - 2 = 0

A:

Q: Use the intermediate value theorem to show that the equation x^3+x^2−2x+1=0 has a solution i the…

A: (note - I assume i as iota) f(x) = x3+x2-2x+1 At x= -1,      f(-1) = (-1)3+(-1)2 -2(-1) +1…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.