Maximize q(x) = 2x² + 72xy + 23y² , where x = subject to the condition ||x|| = 3. %3D Select one:

Q: p = 600 – 0.05.x, - < 12000, where p denotes the wholesale unit price in dolla ty demanded. The…

A: (a) The revenue is given by  R(x)=demand ×price=x×600-0.05x=600x-0.05x2 Therefore  R(x)=600x-0.05x2…

Q: Let ∼ ⊆ X ∗X be an equivalence relation on a set X. For x ∈ X define ̄x := {y ∈ X |x ∼ y}. Then it…

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Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider M 2,2 (the vector space of 2x2 real valued matrices), and let be any element of M2,2. A E…

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Q: 6. Can you see any seasonal pattern here? Year Quarter Expenditure 1 9.4 2 7.54 1 3 2 4 4.69 9 2 8.2…

A: Given,A tabular representation showing the expenditure in three different years quarter wise.We need…

Q: 2. Use a Taylor polynomial to show that, for large wavelengths, Planck's Law gives approxi- mately…

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Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x, 0.1x -…

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Q: 16. Determine the following integrals: (a)Scos 8.xdx. S sin" x.cos.xdx (b)? sec² xdx (c) (d)Se*dx

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Q: z.)

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Q: For the differential equation y' + 8y + 16y = sin(7x)

A: We have to solve the given differential equation.

Q: Find the positive root of the equation xe^x-3 using regula falsi method and correct to 4 decimal…

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Q: ハ-yャメー つ リ

A: Solution 3: Given differential equation is y¯=1-y+x2⇒y¯+y=1+x2 We can write it as (D+1)y=1+x2…

Q: Calculate x z dS, where S is the cylinder (including the top and bottom) x? + y = 16,0 < z < 5. (Use…

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Q: I Example 10.30. Using Runge-Kutta method, solve y" = xy2-y2 for x decimal places. Initial…

A: Here we use the fourth order Runge kutta method for second order differential equations. We use y'=z…

Q: £{3e * sin?t} 6. L{te 3t cos 2t}

A: To solve given question we use the property of Laplace transform and solve.

Q: I Example 10.24. If = 2e*y, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: Euler's modified formula  ym+1=ym+hf(xm+12h,ym+12hf(xm,ym))   Adams predictor corrector formula…

Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 favg f(x, y, z)…

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2.   We have to find the…

Q: Let S be a subset of the metric space M = (X, d), with point p E X. Question 4. Prove that p is a…

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Q: 20. [The l'Hospital's rule.] (a) Find the limit lim x In (1 + !), and then show that lim (1+ !)* =…

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Q: 24. Box A contains 7 balls and box B contains 16 balls. How many different selections of 10 balls…

A: Selection of balls, probability

Q: For a function f, the Divided Difference table is given by: Xo = 0 j = 0.4 S[]=? 50 X2 = 0.7…

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Q: Consider the following two ordered bases of R³: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2,1, 1),…

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Q: Example 10.20. Using Milne's method find y(4.4) given 5xy' + y2- 2 = 0 given y(4) = 1, y(4.1)% 3…

A: Given that 5xy'+y2-2=0 and xi 4 4.1 4.2 4.3 yi 1 1.0049 1.0097 1.0143 Find y4.4 using…

Q: Solve this Solutions of Linear Equations using Cramer's Rule x1 - x2 + 3x3 - 2x4 = 1 -2x1 +…

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Q: 2 3. f(x) = es* – x² – 1 (Xi-1= 8)(x; = 5) (х-1 3D 8)(%; — 5)

A: F12=EXP(2*E12/3)-E12^2-1 H12=EXP(2*G12/3)-G12^2-1 I12=G12-H12*(G12-E12)/(H12-F12) Error=ABS(J12)…

Q: a) Three Sets Å, B and c. EXER:2ト_xS Ex ER: X S 23 EXER: -2 Ź x <3} Fallaws. 4. are A = R £QUIRED…

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Q: Example 10.32. Applying Euler's method to the differential equation dyldx = f(x, y), y(x = y,…

A: Please find step by step solution below:

Q: е 0.32+ j0.56

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Q: Find the elements in the alternating groups A3, and A4, respectively.

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Q: Obtain graphically an approximate value of the lowest root of cos x cosh x =- 1.

A: The equation cosxcoshx=-1 regulates the frequency of vibration of a cantilever. We must first…

Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x2 + (y - 2)2 and the planes z = 1,…

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Q: Example 10.33. Applying Euler's method to the equation dyldx = Ay, given y(x) = yo %3D determine its…

A: Here, we need to use Euler's Method to solve given problem.

Q: 5. Let f : [a, b)R and f(r) 2 0 for all r e la, b V(a) If f is integrable, show that f(z)dr 2 0. (b)…

A: 5. Given that f : a,b→ℝ and fx≥0 ∀x∈a,b   To show: (a)  ∫abfxdx≥0.                (b)  fx=0 ∀x∈a,b.…

Q: Find the area V2 centered a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r =…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (a) Define f : R × R→R×R by f(x,y) = (2x – y, x – 2y). Prove that f is one-to-one. Describe f-1.…

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Q: HW Solve the fallowing first order 0E. -3= \-3+メー

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Q: Example 11.10. Solve the boundary value problem u, = u, under the conditions u(0, t) = u(1, t) = 0…

A: Please find step by step solution of given boundary value problem below:

Q: 5. Let p be a prime. Prove that the group (x, y|x' = yP = (xy)P = 1> is infinite if p> 2, but that…

A: The given group is &lt;x,y  xp=yp=xyp=1&gt;. To show: if p&gt;2 then order of the given group is…

Q: А B D E a) Does an Euler circuit exist? Why or why not? b) Find a good eulerization for the graph,…

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Q: 9. : (y²dx + x²dy) = 0 (x – y)²

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Q: Example 2.13. Obtain graphically an approximate value of the root of x = sin x + T/2.

A: Please find step by step solution below

Q: 3 1 4 1 | |(2x – 4y)dydx (2х — |x²ydxdy 3. 4. - 1 2 0 2π π |(sinx + cosy)dxdy 5.

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Q: 23.9 The following data were collected for the distance traveled versus time for a rocket: 1, s y,…

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Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: The number of ways r items can be selected from n different items is equal to C(n,r). The formula…

Q: A cone in cylindrical coordinates has the equation z = Vx2 + y? , so in spherical coordinates its…

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Q: 7. Determine whether the funcion is even, odd, or neither: f(x) = 1+x2

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Q: (y – 3)2 Consider the surface T with equation 4 + 22 = 1. %3D 3

A: We will identify standard  equation of type of quadratic surface by comparing   with given equation…

Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at 2- L[[, e2t cos 5t dt]|

A: We have to find the Laplace transform for the given functions.

Q: 2. Prove that a free group of rank > 1 has trivial center.

A: Given:Prove that a free group of rank&gt;1 has trivial center