11.7. Let a > 0. Find all the optimal solutions of max{x₁x₂x₁ :a²x+x+x≤1}.

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A: If we find the value of the integral by trapizoidal rule then we devide the interval [a,b] by n…

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A: It is not multiplication.

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Q: EXERCISE 6 Find the general solution of the differential equation y" + 4y' + 4y = x²e-2x, x>0, y =…

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Q: Given 3( x + 4) = 30 then x =

A: Given equation is               3(x+4)=30 now we are dividing by 3 on both sides  then    x+4=10

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Q: (1) Components of the centroid with respect to the indicated X and y axis... Note: the X and Y axis…

A: Kindly refer to Step 2 for the solution.

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Q: 4.[4Y²-Y) (Y-2) 5.CxX+1)(x-2)

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Q: 9. Give a proof of the following identity using a double-counting argument: Σ(7) (₁² k) = (m + n)…

A: We will use binomial theorem expansion to prove given expression  1+xn=nC0 +nC1 x1+nC2 x2+.....+nCr…

Q: alculate the surface integral ff F. NdS, where F = S (u, v) = (uv, v, u) where 0 ≤ u ≤ 4, 0 ≤ v ≤ 3.…

A: The given function is, F=3xy i^ -3yzj^-4xz k^. Parametric representation of the surface S is,…

Q: Problem 3. Evaluate the following (please do not use a calculator): (a) 11 11 11 11 11 (mod 10) =…

A: We know that modulo is remainder after dividing one number by another. Let a, b, m are integers with…

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Q: Determine the type of the rosette pattern given below. O Cyclic O Cannot be determined O Dihedral

A: Cyclic pattern is which has no reflection and rosette pattern with Reflection is called Dihedral.

Q: Use the information to find and compare y and dy.                                      Function…

A: The given function is, y=x4+1. To Find: y, dy, at x=-1, dx=0.01.

Q: Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $4. If…

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Q: Example 1: Complete the table for each of the following graphs. | Amplitude Period Equation of Axis…

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Q: vely. The circle on AB as diamet hrough two fixed points, the between which is 20 Find the

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Q: Find the first four terms of the Taylor series for the function cos(x) about the point a = 1 cos(x)…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: To identify which of the given paths are simple path or circuit

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Q: 8. Use triple integrals to find the volume of the solid enclosed by the cylinder y = x² and the…

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Q: 7.1.57. Give an example of a matrix with a left inverse, but not a right inverse. Is your left…

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A: Given, a) If T:ℝn→ℝm is a linear transformation such that, Te1=a11a21...am1TTe2=a12a22...am2T…

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A: Kindly refer to Step 2 for the solution.

Q: 2π tan@ elo

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Q: Graph the logarithmic function. g(x)=3+ log1/3* Plot two points on the graph of the function, and…

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Q: Define f: R → R by f(x) = x 2 + x + 1. What is f[R]? What is f[R +]?

A: Kindly refer to Step 2 for the solution.

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Q: g(n) := Σu(d)ƒ (d) = [I (1 − f(p)). II d\n p|n where product is over all primes which divides n.

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Q: Find the general solution of Euler's differential equation, x²y" — 4xy' + 6y = 0, - y = y(x).

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Q: 5. Find the volume of the solid between the spheres x² + y² + z² = 4 and x² + y² + z² = 9, and…

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Q: Prove that: (ja) 2₁ ( 1 , ² ; 3 ; x ²) = ↓ sin^¹ x (b) 2 E1 3 2 1 tan 1 x

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Q: Determine the eigenvector(s) of R = [0.5 −0.5 0.75 1.25]

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Q: Purchasing Enormous State University's Business School is buying computers. The school has two…

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Q: A contract requires end-of-month payments of $265 for another 7 1/4 years. What would an investor…

A: Time period (t)  = 7 1/4 years                              = 7.25 years   Interest rate (r) =…

Q: 4.4.8. (a) Prove that the set of all vectors orthogonal to a given subspace VC Rm forms a subspace.…

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Q: 3. Use the table of indices modulo 17 below to solve the following problems. 1 2 3 4 5 6 7 8 9 10 11…

A: Given: The table of indices modulo 17.To find: a) 8x6≡2mod17              b) 8x4≡15mod17…

Q: Solve the linear programming problem by the simplex method. (There may be more than one correct…

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