Use |S – SN| < bN +1 to find the smallest value of N such that Sy approximates the value of the sum S to within an error of at most 10 4. (-1)"+1 n(n + 2)(n + 3) 00 S =E n=1

Q: 1+i Find the least positive value of n, if =1. 1-i

A: We know that i2  = -1   i4  = 1

Q: solve 5.3 (using k(pi-k)/2) and setting k =pi/2 or by your own methods if you have easier ones

A: It is known to us that

Q: Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) = (e*…

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Q: The proof is amazing, I just don't understand a little tiny step. How does 42/n<1 go

A: First of all, it must be noted, which is missing in the proof that

Q: 4. Let f(x) = 4x22/3-19x71/11 Determine the largest n for which f E C". %3D

A:

Q: Find L[4t ] 60 T 8s2 60 /T 8s2 60 T 60 3/2 7/2

A: We have to find the Laplace transform of 4t52

Q: Expand (2+ value of (1.9975)6 up to four decimal places. X\ 6 up to r³ in ascending power of r. Find…

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Q: 5 y 4

A: The order of surd is indicates the index of root to be extracted. For example: n√(x) here n is…

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: Compute P(X=7), and Identify N: P(X ≥ N) ≥ 0.025.

A: During the first hour in the office, 6 minutes are spent in average for phone calls. We note by X…

Q: 1² + 11 For what value(s) of n, the integral dr converges? Justify In + 8x2 + 2 your answer.

A:

Q: Prove that the following: 2"*(-1)"+1 (- 1)"(2)" = for all real non-negative integers (n) 3

A: Given :- The discrete problem -1n 2n = 2n+1 -1n + 13 for all real non-negative integers n.

Q: Show all your work to get credit 7 Find a formula for l, where m is a positive integer.

A: To find - Find a formula for ∑s=1ms3, where m is a positive integer.

Q: E(-1)n + 1(n + 8)x" n = 0

A:

Q: 13 cans of paint with -liters of paint in each were used to paint 4 identical cars. 6 How can you…

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Q: how to show the following coefficient is less than 1

A: Given information: An expression involving gamma function is given.

Q: 100 8. Rewrite log2 II* П 24 as an expression involving summation notation. i=10

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Q: Find the value of N that will give an error less than .001 Ve EN 0 N (-1)" 2nn!

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Q: Show the solution that a,+1 < a, for each n E N (-1)" п! n=1

A: Find your answer below

Q: Select all the correct answers for the expression T(n) below. T(n) = () +2100 + 81logs n +n³ lg (7)…

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Q: Which of the options below is a possible solution to the following summation expression E(t + 7)vt…

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Q: Solve 8 2x +34 (mod 13) 3x +4y = 2 (mod 13) الطرف Using elimination.

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Q: 00 У п(х — 2)"

A: We have to find the sum of the given expression according to the given information

Q: of sequence Ex: Evaluate The DFT of (n) = [1,0,0,1] nyo 3

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Q: lim (n22n) / n! = ?

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Q: 2y 2 Given that 7* ×49' = 1 and 5x x125 3 1 calculate the value of x and of y. 25

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Q: n/27=14/21  what is n?

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.