Problem 5. Define () to be the value n(n – 1)/2. Calculate the following: Part A. Calculate (), C), E), (C), E) Part B. Calculate E (C) n=2 Part C. Let p = 0.5. Calculate E p' and E ()p°. i=2

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Q: 9. y(x) = V + ti dt

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A: Resonance and oscillation.

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Q: Problem 1. Consider the ODE y" + 16y = 0. What is the order of this equation? Is this equation…

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Q: Book Problem 63 The velocity of a car was read from its speedometer at 10-second intervals and…

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Q: Problem 5: Find [[, G · dA using Gauss's Theorem, where G (22x, y + tan(z), x² z + y²) and %3D H is…

A: Consider the provided question,

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Q: * Problem 6: A mass spectrometer is being used to separate common oxygen-16 from the much rarer…

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Q: QUESTION 10 -iz e dz = -i (e? – 1) ei (e² + 1)i e (e² – 1)i e (-e² – 1)i e

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Q: set E: Problem #6 Find the equation oF the line tangent to at x = 5r FCx) = cos?x -sin? ) %3D

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Problem 6: The charge q(t) on the plates of a capacitor at time t is as shown in Figure Q6. q(t) 1.…

A: The charge qt on the plates of a capacitor at time t isqt=t:0≤t≤π2π-t:π≤t≤2πTo find:1The value of…

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Q: Problem 2: Find an ODE of the form + P(x)y = Q(x); y(0) = a (i.e., find P(x), Q(x) and a) whose dx…

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Q: Question 1. Find the general solution of the following ODE: y" – 4y' + 3y = -6e² + 40 sin z.

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Q: Problem 3. Prove that 2 (b) L(r} : a (a) L{sin at} : %3D s2 +a? (c) L{cosh at} : 52 – a²° -

A: Explanation of the solution is given below...

Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

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Q: Question 4 dx 1 O sec (e² – 1) +C O sec-l(e*) + C sec (e – 1) + C sec™' (e") + C « Previous Quiz…

A: The integration of the integral is 1/sqrt(e2x-1).

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Q: Problem 2: A beam of light goes from the air into the water with incident angle e, = 22 degrees. The…

A: SEE EXPLANATION

Q: QUESTION 7 Using the table for S,=D, find each of the following: a) (H",) --= b) (pH,)p²= b)…

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Q: Problem 1 Let f (t) = e5t sin 6t Part (b) Find L{f' (t)}

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Q: Question 14 -Si w e 16 + w O A. 1 -4f- 5 OB. -4-51 e OC1 -4- 16| e 8. O D1 -4 e 8. OE 1-4- 51 4.

A: Here we have to transform it in the form of t

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A: The given function is  [S/{( s+3)^2 + 9}]  In this problem we use the shifting properties of Inverse…

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Q: 28. The direction field of Figure 1.2.13. LO + N W H [/// //// FIGURE 1.2.13 Direction field for…

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A: Work done is,

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Q: Question 6 "If the frequency of an oscillation is 1Hz, it means" 100 oscillation per second 10…

A: The number of oscillations completed in one second is called frequency.

Q: Problem 6: The charge q(t) on the plates of a capacitor at time t is as shown in Figure Q6. -4n -3n…

A: Hello. Since your question has multiple parts, we will solve first three part for you. If you want…

Q: Problem 6. Given a pdf that is N(7,52) find P(|x-5|>3)

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Q: Problem 3 ∫sin^2(3x)dx=_____________________+C

A: We have given the indefinite integral ∫sin^2(3x)dx

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.