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A: We first consider the definition of Bessel function of order n and differentiate it w.r.t. x.

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A: here, objective is to find the rational numbers from the given list.

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A: The given equation to be solved is:

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A: We need to prove that any integer has one of the forms 5k or 5k + 1, where k is an integer.Let p be ...

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A: Since, for an arithematic progression series a1+a2+a3+…..+an, we have parameter values as follows:

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A: The below expression is known as distributive property: -a*(b – c) = (a*b) – (a*c) for all integers ...

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A: Given.

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A: Click to see the answer

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A: Click to see the answer

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Q: 5. (dy + 2x-5) dr + (Gy + 4x-1) dy = 0, y(-1) = 2. dp 6. = 0.5p-450 dt

A: There are more questions in the image you have attached. But you have marked a blue line to the righ...

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A: Let a, b, and c are integers. Integer a is a factor of b and c.

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A: Let us say that n is a natural number. Then n can be either odd or even. So, we can express n as:

Q: Let a, b, and c be integers such that a^2+b^2=c^2. Prove at least one of a and b is even.

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A: Known fact:A prime is a natural number whose factors are 1 and itself.

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A: The expression of the average rate of change of a function y = f(x) from x = a to x = b is shown on ...

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A: The function is given as,

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: Click to see the answer

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A: First, we calculate its standard basis:Its calculation is shown on the board

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A: Click to see the answer

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A: Click to see the answer

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A: To show that Rπ is an equivalence relation on A.The relation Rπ is defined as follows:

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A: The above statement is termed as Euclid’s Lemma.We will prove it in two ways: -First one: -Let us co...

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A: Click to see the answer

Q: Prove or disprove: for every natural number n,2+5+8+...+(3n-1)=n(3n+1)/2

A: Click to see the answer

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A: The given matrix is

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A: Follow below steps to obtain the answer: -As we know that formula for calculating simple interest is...

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A: Given:

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A: To verify:A(A+1) is divisible by 2.

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A: Evaluate the given integral as follows.Observe the fact that the dot product always results in numer...

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A: (a) Let us calculate the Laplacian of the function directly in Cartesian co-ordinates :

Q: Ala 221 2 -2 0 2 0 to w.prar aigs..いヤー宀 10)

A: Putzer algorithm for obtaining eAt.

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A: Height of staircase is 106 feet.The number of rises so the height of each rise is as near of 7 inche...

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A: The total rise is 106 inches.Let x be the number of rises and y be the actual rise height.Since all ...

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A: Formula used:

Q: Advanced Math

A: Follow below steps to obtain the result: -Total length of round stock (in inches) is equal to as bel...

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A: Given: 14-rows6-columnsSpace=1/2 between each row and column.First, we calculate the width of the sm...

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A: Find the total length of the four cut pieces. Find the total amount of kerf taken with four cuts. Le...

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A: To check whether the last statement is true assuming that the first two are true.

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A: To find a new example of a power distribution system among the three voters.

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A: To discuss the properties of the reciprocal basis to the given basis of vectors

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A: The problem concerns the continuity of a rational function over an open set.

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A: To locate the points of discontinuity of the given function f(z) of the complex variable z.

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A: To analyze the behaviour of the given function of the complex variable z.

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A: (a)To solve the eigenvalue problem for the given matrix and (b) to check that eigenvectors belonging...

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A: To calculate the total number of options for the customer at the gift wrapping counter

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A: Known fact:

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A: (a)To calculate the possible number of samples.Given:

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A: The number of all combination of n things, taken r at time is given by:

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A: Given:Total number of members in two basketball team is 10 and every member shook hands only once wi...

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A: Application of compound interest formula to the calculation of retirement fund.

Q: At age 22, someone sets up an IRA (individual retirement account) with an APR of 8%. At the end ...

A: Formula used:Future value of an ordinary Annuity:

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A: Known fact:There are two valued logic is used to represents the given statement, is either True or F...

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A: To discuss when the statement p or q implies the statement r.

Q: 2 、t «i: l-f t- V-t

A: To solve the given linear system of differential equations.

Q: you were introduced to the set operations of "union", "intersection" and "complement." Do you see a...

A: To explain the similariites between the opreations in set theory , logic and electronic circuits

Q: How many ways can you choose 5 out of 10 friends to invite to a dinner party?

A: To solve the problem of combinations (selections) in the given scenario.

Q: Subject: Elements of Set TheoryGreetings,I am really having difficult time with these problems that ...

A: To prove the formula for the required number of combinations

Q: rvc

A: (a) For n = 2, the equality is

Q: 5. Rewrite the third order linear differential equation y"(t) + 3y"(t) + y'(t)-y(t) = 0 as a linear ...

A: To solve the given differential equation using matrix methods

Q: Find the simple interest paid on a $470 loan at 6.9% annual interest for 3 months

A: Given:The principal amount (P) is $470.The rate of interest (R) is 6.9% per year.The number of terms...

Q: Parallel circuit:e=12 voltsR1=4 ohmsR2=4 ohmsIt= ?

A: The circuit diagram can be drawn as given below.