Show that if xn ≥ 0 for all n € N and lim(x₂) = 0, then lim(√//xn) = = 0.

Q: Evaluate the given expression. 5 [8(3-2)-5] 5 [8(3-2)-5]= (Simplify your answer.)

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Q: 4. 5.

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Q: Determine the number of Hamilton circuits in a complete graph with the following number of vertices.…

A: The number of Hamilton circuits in a complete graph with N vertices is (N-1)!. For a complete graph…

Q: 31. (a) Let A be an n × n-symmetric matrix. Diagonalize A to show that x • Ax || x || ² is greater…

A: 31, Given that  A be an n×n symmetric matrix

Q: Write the formula for the function g that results when the graph of f(x) = |x| is vertically…

A: Parent function isf(x)=|x|

Q: 10. Let T: R² → R² be a lincar transformation that maps u = H V = [3] into [3¹]. (a) Find the image…

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Q: Problem 2. Determine whether each of the following sequences converges or diverges. If it converges,…

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Q: A 6 cm B 2 cm 8 cm 24 cm Figure A and B are similar. Identify the scale factor going from B to A.

A: We know the scale factor is the ratio of corresponding sides.Given, Figure A and R are similar.

Q: The figure shows a net of a pyramid. The net is made of four identical triangles. 10 in. 8.7 in.…

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Q: Let T: R² →R² be a linear transformation that maps u = O A. O B. O C. O D. 15 -6 -1 - 10 5 - 11 14…

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Q: For the functions f(x) = 5x² + 2 and g(x) = 3x - 1 find and simplify: a. (f+g)(x) = b. (f-g)(x) = c.…

A: f(x)=5x2+2 and g(x)=3x−1

Q: nomial of degree 5, P(x) has leading coefficient 1, has roots of multiplici pot of multiplicity 1 at…

A: Polynomial function

Q: Dana has 66 hours to spend training for an upcoming race. She completes her training by running full…

A: Dana has 6 hours to spend training for an upcoming race, thereforeThe total time available is 6…

Q: A school consists of 6 separate buildings, represented by the vertices in the graph. There are paths…

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Q: (d) an = 1+9n (e) an = cos (f) an = (2+1) In n In 2n (g) an 2- cos NT =

A: The given sequences (d) (e) (f) (g)

Q: -2x+5<-7-3x solve ine

A: To solve the following inequality.

Q: Consider the following vectors. 1 Give the corresponding linear combination. (If an answer does not…

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Q: 2x+y)^4 Expand each expression using Pascal’s triangle

A: Solution-Given expression is = (2x+y)4Using Pascal's triangle,The formula of Pascal's triangle for…

Q: A principal amount of 800$ is placed in a savings account with an annual interest rate of 1.1%…

A: To calculate the interest earned when a principal amount is compounded continuously, you can use the…

Q: Find an equation for the plane that contains the line ₁: y = t-8 z = -3t -5x + y - 5z = 19. Plane…

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Q: 23.

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Q: If Find the average rate of change of f(x) = 4x²-3x+10 on the interval [1, 4].

A: Consider the given function. the interval is [1, 4]to find out the average rate of change

Q: What are all of the keys that must be pressed, in correct order, on the calculator shown to find the…

A: Given 462÷3

Q: 6.

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Q: 3x If f(x) = then find f-¹(x). Then verify that it could be the inverse by finding 2x-5 f-¹(f(6)).

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Q: [Number Theory] How do you solve question 3? thanks

A: We have to find all pairs of positive integers a and b such that lcm(a,b) = 1061775 and gcd(a,b) =…

Q: Is the matrix below in echelon form, reduced echelon form, or neither? 10 4-2 0 1 -2 -5 00 0 0 0 0 0…

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Q: 12X 11+ 2÷ 50X 1- 4- 2÷ 10+ 2÷ 6+

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Q: Sketch the graph described by the following cylindrical coordinates in three-dimensional space. 5 r…

A: Solution is following in explanation step.

Q: Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is…

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Q: for 8,180 movements of the second hand determine the value of degrees made by the hour hands plus…

A: Given:The number of movements by the second hand is: The aim of the problem is to find the value of…

Q: b) Verify that your answer is correct by finding i)) f-¹(f(2))

A: The inverse f−1(x) when given f(x)=x3+5

Q: The table below lists the height h (in cm), the age a (in years), the gender g (1="Male",…

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Q: For the indicated graph, find the degree of each vertex in the graph. Then add the degrees to get…

A: The given indicated graph is

Q: Determine the eigenvector associated with = 6 for the matrix 62-2 250 -207

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Q: Khalid makes a wall shelf shaped like a right rectangular prism with the dimensions shown. 5 in. (4…

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Q: Solve for X. -3 -67 [1³1-X 1 =4 I. 6 -5 6

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Q: Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We…

A: Let V be the value of the bulldozer and t is time in years old The V as a function that value of the…

Q: Use the Lagrange multipliers approach and determine the optimized area of the following shape made…

A: The figure

Q: 4 ft 2 ft 4 ft 10 ft 6 ft 2 ft 4 ft 4 ft The perimeter of the shape is feet.

A: We have to find the perimeter of the given shape.First let's define the perimeter.The perimeter of a…

Q: To Be Number One, You Have to In this lesson, you explored the graphical behavior of even- and…

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Q: 3.255 rounded to the nearest hundred

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Q: 1) Domain: Increasing: Decreasing: y X

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Q: Rearrange the following equations to express x as the subject of the equation:

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Q: Domain: Increasing: Decreasing:

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Q: A company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs…

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Q: 5x - 2y = 0 O Direct variation O Not direct variation 3x - 8y = 5 O Direct variation O Not direct…

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Q: A. Determine an Euler circuit that begins and ends F with vertex A in this figure. D Choose a…

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Q: -2x^2+15x+24<-3x^2+ 4x+14 solve ineq

A: given inequality

Q: (b) What is the range of f(x)? [2,20] y 20 15 10 5 2 4 A help (inequalities 6 8 X

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