Determine whether the series converges or diverges. 3n2 1 4n° + 3 n = 3 converges O diverges

Q: 1. Use mathematical induction to prove a) 1. 1! + 2· 2! + ... +n• n! = (n + 1)! - 1 for all n 2 1. %...

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Q: Find the average rate of change of g(x) 2x + 6 between x = 1 and x = 4 -

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Q: What does (8+5) to the 2nd power simplify to?

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Q: 1) The rational parent function y = has been transformed. Write the equation of the new image. a) b)...

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Q: Which of the following quadratic equations has the solutions x = -6, -2? O x2 - 8x = -7 O None of th...

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Q: Question 5 - The displacement x cm of a piston in a machine, at time t seconds, is given by: x = tv1...

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Q: Translate the ff phrases into mathematical expression. FYI. mathematical expression.( is consist of...

A: Explanation of the answer is as follows

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Q: By using Gauss Jordan Elimination. 2x1 + 3x2 = -1 X1 – 2x2 – x3 = 3 2x1 – x3 = 1 -

A: The given system of equations,2x1+3x2=-1x1-2x2-x3=32x1-x3=1

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A: Let's find. 

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Q: (x + 3)

A: We will solve for x. 

Q: A. Let U= { 1, 2. 3, 4. S. 6. 7, 8,9, 10, A-{3,5, 8, 113 B= {2,5.6. 7, 8} C = {3,4, G6,7, B,10 ,n} D...

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Q: Given that f(x) = x² + 8x and g(x) = x – 9, - calculate (a) (ƒ o g)(x)= (b) (g o f)(x)= (c) (f o f)(...

A: A composite function is created when one function subsituted into another function.                ...

Q: Simplify each expression by combining like terms. (15) 9a + 15a - 6 (16) 4b - 7 + 9b Type answer her...

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

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Q: In a week, Amy made Php 3,000 by working 20 hours. How much will she earn if she works for 43 hours?

A: By working 20 hours Amy earn = 3000 Php So by working 1 hours Amy earn = 3000/20 Php By working 1 ho...

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A: Given query is to find the equation of the line.

Q: Suppose that a cliff diver's height (in feet) after t seconds is given by the model H = -16t² + 24t ...

A: a cliff diver's height (in feet) after t seconds is given by the model H=-16t2+24t+16

Q: Adrian Gonzalez of the Los Angeles Dodgers led major league basketball in runs batted in for the 201...

A: Topic -  average and mean 

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Q: Pd: Date:5 1. The world population in 2000 was approximately 6.08 billion. The annual rate of increa...

A: topic - exponential function

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Q: 2x2-5x-3 4x+1 2) 4x2-12x-7 2x-7 |

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Q: 1-8.) Simplify completely, 4 1) x+1 X-2

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Q: 1-8.) Simplify completely, stat x²-4 x+6 1) x2-2x-8 - x+2

A: Given; (x2-4)/(x2-2x-8) - (x+6)/(x+2).

Q: ACTIVITY I Eeview our previous lesson to determine whether the given expression is a rational expres...

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Q: T [8 -4 31 2 .5 2 L3]/ [9 12] O [7 8] O [8 7] O [12 9]

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Q: The scale of a map is 1 inch : 40 miles. What is the actual distance between two cities that are 5 i...

A: Solving the problem by finding the actual distance.

Q: Trent is drawing a diagram of his house for a school project. He decides that every 5 feet in real l...

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Q: . l={x²+1/x are odd numbers between 3 and 11}

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Q: 3x3 d'y If y = + find dy and dx (a) 3 2 dx2 (b) If f(0) = 4 cos 30, find f'(0) and f"(0) and evaluat...

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Q: 8.

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Q: What is the interval of convergence of Taylor Polynomial of f(x)=cos x at a=pi/3

A: Given function: fx=cosx a=π3 The Taylor polynomial of the function f(x) at x=a is given by fx=fa+x-a...

Q: The coefficients of a, b, and c in the quadratic equation are a = 2, b 2, c = -4: 2x2 + 3x- 4 0 O Tr...

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Q: a) аn+2 5аn+1 + 4аm %3D b) аn+2 Зап с) аn+2 Зап+1 + 10ат %3D d) аn+2 — аn+1 + am

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Q: Let T: R → R such that ker T = {(2s, s, t, s+t, 3t) : s,t e R}, then one of the following is true %3...

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Q: A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. About h...

A: topic- volume of cylinder

Q: Fnd the cos²2t 3. COS 2

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Q: A) W = {(a, b, c) : a < b} is a subspace of R %3D B) W = {(a, b, c) : b= 2c + a} is a subspace of R ...

A: a) (i) (0,0,0)∉W          because                                0&lt;0 (not true)          and sinc...

Q: 10=2x+30

A: -10 would be correct answar. 

Q: Task E Print Exponential and Logarithmic Models In this activity, you will formulate and graph expon...

A: topic : exponential and logarithmic function

Q: 5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46.  Which of the following is the value o...

A: Given problems  5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following...