2.Find the number of 6-letter words that use letters from {A,B,C,D,E}   in which no 5 consecutive letters are all the same. (Hint. First count the words that you don'twant to include.)

Q: Let f(x) = sin(rx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+…

A: Given that fx = sinπx . Also given that h and k are two functions such that h'x = cosπx , k'x = fx+1…

Q: {15n : п € Z} %3 {3п :п€ Z}n{5n :n€ Z}

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Q: Gniert y=x to polor to polar ニ 22 と= tane to Cortesian r Sinl a 色) ta Gatssian

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Q: Using power series, find a 5th degree polynon alapproximation to the solution'to the Initial alue…

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Q: If ODE of 2nd order and ye = c1 e²× + c2 e3* ‚Yp = 2 x + 3 e-2x, the suggested y, is:

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Q: n (n2 + 1)2 n=1

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y? ,x = 4.

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Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

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Q: -3 5 11 M = N = -6 2 Find MN ii) Solve the Linear System using Cramer's Rule (or otherwise) -11x + y…

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Q: Consider the following. W = cos(x - y), x = t², y= 51 (a) Find dw/dt by using the appropriate Chain…

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Q: What is the limit of T(n) as n -> ∞?

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Q: = find area inside r=2cose and outside r 1?

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Q: Solve: (dy/dx) = [(5y – 2x) /(4x - y )] %3D

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Q: (NAS 4) Given, A = x²zî – 2y°z²j + æy?zk Find divAat the point (1, –1, 1)

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Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

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Q: rmine whether the following series converges or di If the series converges, determine the sum. n/2 1…

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Q: 6. Using Second Theorem of Pappus, calculate the volume of solid of revolution when the area of the…

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Q: dx (1 – e²)² -1

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Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function = sin - 0) +1 in…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

A: we have to find the volume of a body bounded by z = 0 and z= 4-x from above inside x = y2, x = 4.

Q: Consider the pdf shown. Determine (a) the constant b in terms of a. (b) P(X>a). (c) P(a < X< 3a).…

A: As per the policy of bartleby the provisions is to solve only three sub parts at a time

Q: dz dy dx

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Q: Find the real eigenvalues of the matrix [-11 -14 -10 1 -1 A 4 -1 6. 3 4 -1 4 The real eigenvalues…

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Q: Solve: (dy/dx)? + (y – 1 – (x/y)) dy/dx - x/y(y– 1) = 0

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Q: engineer, and a teacher, not in the same order. They also have Daniel, Bobby, 14. There are three…

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Q: * /In(n), cos?n COS n2 n=| Identify if it converges or diverges

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Q: line re gment corine tin g tuo pents pick a peut in the unit ciscle that are randomdy unit a a cherd…

A: The CDF for r here is obtained as:F(r) = P(R &lt;= r) As the point is uniformly distributed over the…

Q: to find a Use the method of frobenius solution of the fallowing DDE: near

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Q: Match the following improper integral with the improper integral below in which you can compare…

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Q: 1 2 If D = 2 -1 0 3 , find and E 0 1 3 2 -1 13. DE 14. D4

A: Given matrices are D = 1201  and  E = 2-103032-1

Q: R? R? 12- y? 12 + y? if (z, y) # (0,0) (r, y) + if (1, y) = (0,0) • The function f is it continuous…

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Q: Solve dy dy dx

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Q: g"(x) sin(x- 1) -4 13 h(x) = kr - 8x + 6, 1SIS3 -1 10 x>3 8. (2) e -1 E) Find all x value(s) on the…

A: We have to find the point of inflation

Q: -4 7 + 7 7 -4 7

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Q: 3. Construct a bijection f: [0, 1] → (0, 1) UN.

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Q: Consider the system of equations da = x(3 – x – 4y) dt dy = y(1 – 3æ), dt taking (x, y) > 0. Recall…

A: Given are system of equations   (a) To Find: Non-zero Horizontal and Vertical nullclines.   (b) To…

Q: Let S be the solid inside the sphere p = 6cosøand below the cone 0 = 7/4 Set-up the iterated triple…

A: Here, we are given the solid S inside the sphere ρ=6 cos(ϕ) and below the cone ϕ=π4. Now, we will…

Q: x³ – 2x? – 5 = 0, [1,4]

A: Reframe the function and find the term for x.

Q: 3. Given the initial-value problem 2 = -y +a?e", +x²e*, 1< x < 2, y(1) = 0 with exact solution y(x)…

A: Given that y'=2xy+x2ex, 1≤x≤2, y2=0 with exact solution yx=x2ex-e

Q: 7. Using pelor cerdinale te sehe e llowiny integrals ) dydx dady

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Q: Consider the 3 x 3 matrix A definced as follows A -8 -1 d. Find the eigenvalues of A° and their…

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Q: 2* If ODE of 2nd order and y. 2 x + 3 e-2x, the suggested y, is: C e2x + c2 e3x Yp = Yp = a, x + a2…

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Q: culate two iterations of Newton's Method to approximate a zero of the function using the given…

A: Using Newton method we have fillup the given system.

Q: Hw.4 heights ave defined by ECX,y) and bases are the regions bounded by the fottowing fon ttion in…

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Q: Describe the graph of the given set C={(x,y): x= √t-1, y=√1-t}

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Q: -2 -3 Are the vectors -3 -4 -8 and linearly independent? -6 3 linearly dependent If they are…

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Q: Prove that between any two rational numbers, there is an irrational number via (i) the…

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Q: Find the future value of an annuity due of 200$ each quarter for 4 1/2 years compounded at 8%,…

A: Solution

Q: Using triple integral to find the volume of a solid whose base is the region in xy-plane (z = 0) and…

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