Use the method to the given constraint. maximise the Maximize the function & (or, y) = x+ 5y² 2004-1²=-2.² Subject to the centraint 2x+y = 4

Q: Reduce to the form x + yi : logsin (-i+2)" 2

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Q: 2. 4s+32 s²-16

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Q: 8+38 ਭਾਗ (

A: We have to find the derivative of the given functions.

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Q: 1. Use the Pinching (Squeeze) Theorem to evaluate the following limits: (a) lim (-1)"+cos(3n), (b)…

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Q: Setup a cylindrical or triple integral using. Coordinates Spherical triple integral SSS (x² + y z )…

A: Given ∫∫∫Sx2+yzdV Where S is the solid lying below the cone z=x2+y2 above the plane z=2 and inside…

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A: We have to find the value of X.

Q: In the given figure, using Kruskal’s algorithm, which edge should we choose first? a. AB b. EG c.…

A: In Kruskal's algorithm, the edge with minimum weight is chosen first.

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Q: This is multiple choice#5]  In the given figure, the total weight of the minimum spanning tree is…

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Q: 42-311 Solve this assignment Problem? 1 2 3 2 3 Ч S 2 1 10 10 5 5 5 5 5 15

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Q: c) 1-λ 1 2 λ -3 ο

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Q: Evaluate L-1{ S (s² + 169) (s - 2) 2

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Q: [2] (A) f'(a) = √ 1 – f ± (a) for all a ∈ (0, (B) f'(a) = = true (0) 2 -- for all a E (C) f(a) f'(a)…

A: It satisfies option A

Q: 4. This problems asks you to use both the Forward Euler and the Runge-Kutta method specified by 1+t…

A: Given that,  Initial value problem y'=1+t1+y with y1=2, and t∈1,2 0         1/3 1/3       2/3…

Q: Evaluate the given expression. P(7,7)

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Q: During four years of college, Nolan MacGregor's student loans are $4000, $3500, $4400, and $5000 for…

A: Given, During four years of college, Nolan MacGregor's student loans are $4000, $3500, $4400, and…

Q: - Consider the following Initial value Problem: dy dt = 3-1 cos(t) with y(-5.55)= -9-66 Using…

A: To find the solution of the first order ordinary differential equation dydt=ft,y with the initial…

Q: Prove gcd(n, n+1) = 1.

A: To prove the below expression. gcdn, n+1=1

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: 1. Consider the differential equation: dy y² + xy x² dx a. Write the differential equation in…

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Q: y = cos(x) fonksiyonunun birinci mertebeden türevini x = noktasında h = olmakla 3-nokta aranokta…

A: Given function is y=fx=cosx. We have to evaluate the first derivative of y=fx=cosx at x=π4 using the…

Q: Let p(x), g(x), r(x) be the following expressions: p(x) :: : x² - 7x + 10 = 0 q(x): x² - 2x - 3=0…

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Q: Use the binomial theorem to expand and simplify (write out the Sigma Notation first) (5x³ - 3y²)¹

A: The Binomial theorem states that (a+b)n=∑k=0nCknan-kbk, where Ckn=n!(n−k)!k!​ and n!=1⋅2⋅…⋅n. We…

Q: A student organization at Penn State is voting to pass its budget. Susan has 6 votes as the…

A: Given: Susan has 6 votes as the President, Joe has 4 votes as the Vice-President, Carol has 2 votes…

Q: 0 22 C6 + 22 C₂

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Q: 2. The subset [a,b) of R is neither open nor closed. Prove it and construc an illustration.

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Q: erential Equation

A: 21. Given,           (D2+16)y=x+16sin(4x)

Q: Find the inverse laplace of F (s) = (s²+ a² 1 (s²+²) (s²+b²) consider a²b², ab 0

A: Given Laplace function is F(s) = 1(s2+a2)(s2+b2)

Q: 3. When must the patient receive the next intravenous dose of the drug in order to maintain a…

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Q: What mathematical concepts are involved in optimization?

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Q: N 2 •Solve the differential Equation y"+y = catny by using variation of parameter method

A: The solution is given as

Q: Given the family C[0, 1] of continuous functions ƒ : [0, 1] → R, and the norm ||f|| = sup f(x)]. x=…

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Q: Find the inverse laplace of s2+78-8 -81 Ofe + o get - 10 9 6 e-8

A: Given Laplace function is y(s) = s+4s2+7s-8

Q: If each component of a vector in R³ is doubled, the L2 norm of that vector is doubled True False

A: To give answer in true or false of the statement.

Q: I. Characteristics of Periodic Functions A. Determine whether each graph represents a periodic…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Find the formula 1 [ f(x) dx = w₁f (0) + w₁f (1) that is exact for all functions of the form f(x) =…

A: Solution :-

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: Given that,The path of a basketball is given byy=2.12+2.01x-0.38x2, 0≤x≤4.6wherex is the horizontal…

Q: Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water…

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Q: The set of rational numbers is an ideal of the set of real numbers.

A: Solution :-

Q: 1. Approximate the value of each of the following definite integrals using: i. Trapezoidal Rule ii.…

A: 1. Given integral is∫12xlnx dxn=4The value of the given definite integral is approximated using the…

Q: Let f(x) = x² + 2x - 1 and g(x) = 2x - 4. Find 3f(x) - 2g(x). 2x² - 2x - 14 3x² + 2x + 5 Option 1…

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Q: 12. Which of the following subsets of R² are subspaces? Give a geometric interpretation whenever…

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Q: A singular value decomposition of a matrix A is as follows: [0.5 -0.5 0.5 -0.5] [15 0 0.5 -0.5 -0.5…

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Q: 1 Q.6 - Let S be the sum of the Basel series: S=1+ 25 49 81 1 1 1 1 + + + 25 9 16

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Q: Find intervals on which the graph of y=x4 - 4x3-18x2 + 7 is concave up and intervals on which it is…

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Q: Which of the following images goes in the missing part of the sequence? * ? O Option 1 Option 3 O OO…

A: Correct ans is option C   From the images shown, we can observe that there are 6 rows and 6 columns.…

Q: (27) Solve (1+y²) | n = (tan'y-n)·dy

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Q: Refer to the following functions: p(x) = x² + 2x 15 1 x+1 q(x) = X 3 r(x)=√7-x Which of the…

A: We will verify all the given statement utilizing given three functions and then will conclude about…