Find σ(n) if n = 2^k-1 (2^k - 3) where 2^k - 3 is prime

Q: Choose the correct sum of the following geometric series Σn=09 (9)" O Option 2 O Option 4 O Option 1…

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

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Q: Neme Find the area (in sq.units) of each figure K

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Part: b:Let W be the set of all vectors of the form shown below in parts į and ii. In each part,…

A: (1) Here given set  W=2a+3b-12a-5b: a, b∈ℝ Now if a∈W such that, a=2a+3b-12a-5b Then a=2a-12a+3b0-5b…

Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit is…

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Q: Find the singularity of the function f(z)=(e^z-1)/z at z=0.

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Evaluate .f²fy dydx 175 3 175

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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Q: 37) Solve the following simultaneous linear D.E. 2 [2D + 2 ²D +2³]} = {²} 2D +5 2D + 31

A: The solution is given by first solving equations simultaneously and then find the general solution…

Q: Determine whether the given sequence converges or diverges. If it converges, calculate its limit. an…

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Q: struction site, there are 4 excavators. Each one must be allocated to exactly one job. The time

A: The given data is as follows   Job1  Job 2 Job 3 Job 4 1 4 2 5 7 2 8 3 10 8 3 12 5 4 5 4…

Q: 3. Test the convergence of the series an = O Converge O Diverge O Fail test Σ=1 n*+2n²+1 n6 +3

A: 1. Given series is an = ∑n=1∞n4+2n2+1n6+3 Let bn = 1n2 Then limn→∞anbn = 1 Here bn converges ⇒ an…

Q: In the month of July, a convenience store had total sales of $102,300 from its gas pumps and other…

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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: Q1A)The vectors A = 3i+j+ 4k, B = 2i-3j-k, find vector normal to A and In plane of A and, B.

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Q: Spencer manages a store that sells speakers. Each Master Blaster takes 36 hours to create the…

A: We have to find the number of each of the speakers to make the most revenue.

Q: 2. Table below show cost of transportation for XYZ firm: Supply, Demand and Cost are show at point…

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

Q: Use the quotient law for tensors to show that the array -2xy -2xz /y²+z²-x² -2yx x²+z²-y² -2yz -2zx…

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Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

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Q: | |m8xy + x)dxdy=3, 0<y<x<1

A: The given equation is ∫∫m8xy+x2 dx dy=3,      0&lt;y&lt;x&lt;1. To find: the value of m.

Q: ΗΣ 1 •n=1 an = 3π , find limno 2 sin(an)+11 4

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Q: Show that A(1,0,2), B(-1,2,7), C(4,0,1) & D(2, -2,-3) are non- coplanar.

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Q: y = (C₁ + C₂x) eª + sinx+x²; y" - 2y' + y = −2 cos x + x² − 4x + 2

A: Here we find the first and second derivatives of given solution and then put in the left hand side…

Q: The base of a three-dimensional figure is bound by the line x = -y² - 2y + 3 on the interval [0, 1].…

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Q: Determine the requested value. 17° 49° 73⁰ 33° y

A: In this question, the arc length of the unknown is to be determined. The sum of angles made by all…

Q: Find the general solutions of the system. - 14 -9 0 x' = 1-8 0x 1 x(t) =

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Q: let a=2+7i b=4-2i Choose the correct result of a/b * O (6-361)/20 O(-6+361)/20 (-6-361)/20…

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Q: 30 -20 -10 20- 10- -10-

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Q: QUESTION 1 You own a painting whose dimensions are 11 inches by 14 inches. If you create a slide of…

A: Uniform scaling  is a linear transformation in Euclidean geometry that enlarges (increases) or…

Q: For each statement below, state whether the statement is True or whether it is False. (a) ∅⊆A (b)…

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Q: Solve differential equation dy -(x²+y) x+siny

A: We have given a differential equation , dydx = -x2 + yx + siny This is exact differential equation.…

Q: Use the principles of linear programming to maximize or minimize and interpret the following…

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Q: Starting with the graph of f(x) = 2, write the equation of the graph that results from (a) shifting…

A: Given graph equation , f(x)=2x (a) shifting f(x) 1 units upward, y= f(x)+1 =2x+1. (b) shifting f(x)…

Q: vector v has initial point P₁ = (-1,2) and terminal point P₂ = (x, 14). Find all numbers x so that v…

A: We have to solve given problems:

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: 15. Find a basis for the row space and the column space of the matrix 132-5 -2 3 671 rank of each…

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Q: valuate * 2, dydx 175 3 Option 1 Option 2 175

A: We have to solve given problems:

Q: 1.) For each graph determine its rational function. R(x) =

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Q: write the equation y=a(x-1)^2-9 in standard and x-intercept form

A: Given   y=a(x-1)^2-9

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: A can for vegetables is to have a volume of 250 cm³. The material for the top and bottom of the can…

A: We have to determine the total cost of the can that minimizes the cost of materials.

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

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

A: Find the steps below.

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: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: Consider the following. y = 6 cos¹(x), y = −6 cos^(x), - 7 = ≤x≤ about x = π 2 (a) Set up an…

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Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

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…