Must Solve using Langrange Multiplier a. Determine the solution to the following function: Maximize 2xy subject to 4x + 2y = 200 b. Determine the solution to the following function: Minimize 2x2 + 2y2 subject to 2x + 4y = 8

Q: B)Prove (cose + i sine)" = cosno + i sin no

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Q: College Units Frequency 0-24 4 25-49 3 Find the standard deviation for the grouped data. 50-74 6…

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Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 75-99…

A: Given: A grouped data, To find: Standard deviation of grouped data.

Q: Given the following system of linear equations: 2X + Y + 4Z = 16 3X + 2Y + Z=10 X+ 3Y+3Z = 16…

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Q: 31 Q2A)Matrix A [42],find Eigen values of 4².

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Q: From a window 29.0 ft above the street, the angle of elevation to the top of the building across the…

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Q: S Js V is the volume enclosed x (axr)ds = 2aV, where a by the closed surface S.

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Q: 2. Take (E = |xi + 1- xi |) Q2 Using the fixed point iteration method solve the equation 2x³-2x-5=0…

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Q: Let it be the matrix B= [4 3 ] what -1 5 is the Product of the Collection Bt with the one matrix

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Q: If the Wronskian W of f and g is t²e4t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 6…

A: Here we use simple method which is used to find deviation

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: Given function f(x)=ax3+bx2+cx+d and the conditions relative maximum (2,9), relative minimum (4,3)…

Q: College Units Frequency 0-24 4 25-49 3 Find the standard deviation for the grouped data. 50-74 6…

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Q: If a relation R on a set A is antisymmetric, then R is not symmetric.

A: To determine whether the given statement is true or false.

Q: Invert the Z-transform. X(z) z(2²-22-1) (2²-4z + 3)(z-2)

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Q: (b) The flow of traffic through a network of telephone towers is shown in the following figure: 30…

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Q: Prove that |A U B| + |A n B| = |A| + |B|

A: Let A and B are two sets. A = number of elements in the set A. B = number of elements in the set B.…

Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: Find all solutions of the system √ x² – 2y = 8 2 x² + 5y = − 6 The two solutions of the system are:…

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Q: Q5A) Find volume of body from above Z = √√4 - x² - y2 and below Z = 1 using Triple integration.

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Q: BA)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: Given  function f(x,y,z) =x2y2z2-4     …………………………i ∇f=2xy2z2 i^+ 2x2yz2 j^ +2x2y2z k^ ∇f|at…

Q: Working with your equation in standard form, verify the coordinates of the vertex by completing the…

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Q: Find the volume of the solid below the function z = f(x, y) = y√√x and over the quarter disk of…

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Q: The temperature in Edmonton, over the course of a year, can be approximated using the sinusoidal…

A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

Q: 5. Consider the following four matrices: ab c ba 2a 2b 2c a-3c b+Sa A= d e f #ME B-f d de f D d-3f…

A: In matrix B there is change of column vector from C3 to C1 so determinant will be…

Q: The matrix x = [1:5,8 9] has three .columns True

A: 1. Given matrix is x = 1:5, 8, 9 = [1 2 3 4 5 8 9] Here we can see columns are 7 Hence Answer: False…

Q: 7) Find the unit tangent vector for the parameterized curve: r(t) = cos ti+ sin tj+ sin tk, 0≤t< 2π

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Q: Q5A) Find volume of body from above Z=√√4-x² - y² and below Z = 1 using Triple integration.

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Q: Convert r = √2 cos(-) to cartesian.

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: B)Is w = Zez analytical function or not?

A: Given complex function is w = zez

Q: (b) Find the interval of convergence of the following series Σ (¹+-½)²³ ( (x - 1)" n=1

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Q: Berno deposits $30,000 into an account paying 3.25% annual interest, compounded quarterly. How much…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: B)Convert r = √2 cos (0-) to cartesian.

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + Relative maximum: (2, 9)…

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Q: Explain why cannot be a) What are hypersurfaces? ace higher-order hypersurface drawn. How will you…

A: In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and…

Q: B)Is w = Zez analytical function or not?

A: Given function is w = zez

Q: b) (D² +₁²) x = a sin(n+ +2), where x= D X = O X=DX = 0 at t=0

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Q: Determine the length of the third side of the right triangle. Write the answer as a simplified…

A: Introduction: The formula of Pythagoras theorem for a right-angle triangle with sides A, B, and C is…

Q: 12. Triangle LMN with vertices L(-9, -1), M(-3,-4), and N(-5, -8): a) 270° counterclockwise rotation…

A: Given: Triangle LMN with vertices L-9, -1, M(-3, -4) and N(-5, -8). a) 270° counterclockwise…

Q: (¹) A thoroughly cooked pizza is removed from a 400° F oven and placed in a kitchen that is 75° F.…

A: Here by given information we can use Newton's law of cooling. We have to use calculator to find the…

Q: Q5: a) Show that the vector field F = (x² - y² + x)i - (2xy + y)j, is irrational.

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Q: Q3) for what values of (m) do the line ( y = mx ) and the curve ( y = ²+1) enclosed a region ? find…

A: By applying the integral calculus, one can evaluate the area that is bounded by curves and lines.…

Q: Use the disk method to find the volume of the solid generated by revolving the region bounded by the…

A: Disc method:  Consider a solid which is obtained by revolving the region under graph of a function…

Q: ic approximation centered on the origin of the result of the following double integral:  ∫…

A: Given integral: ∬sinxydxdy

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O 24+22i O 22+22i O22+241 O 22-24

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Q: Obtain the 5th term of the power series of sin(x) for a value of x = 4.55.

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Q: Consider the system |x₁ = 2x₂ x₂ = -2x₁ Subject to the initial conditions x₁(0) = 3, x₂(0) = 4. (a)…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…