Find the volume of the solid that results when the region enclosed by the given curves is revolved about the a-axis. y = v225 – a², y = 9 NOTE: Enter the exact answer. V =

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Q: DISCRETE MATHEMATICS 1. Find the multiplicative inverse of a) 244 modulo 133 b) 3112 modulo 522

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Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1+ x ) - 1. Use 5 %3D iterations of…

A: Given function is f(x)=sinx+cos(1+x2)-1 the graph of the function is From the graph we can see that…

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Q: Question 5 Let a and b be positive real numbers and 6+ 1. Find a+6 if the exponential function f(x)…

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Q: 5. Find the general solution of the system: x' - (; ) * -8°

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Q: Question 4 Solve the initial value problem: y' = - 0.03y+ 6 y(0) = 50 %3D y(t) = %3D Question 5 3t…

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Q: what is the maximum size of matching? And give examples

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Q: QUESTION 5 If x and y are two incongruent primtive roots of a prime p. is x+y a primitive root of p?…

A: In this problem we shall use the definition of primitive roots to show if the number given in the…

Q: x" – 6y' – 7x = 0 y" + x = 3 x(0) = x'(0) = y(0) = y'(0) = 0. %3D %3D

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Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

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A: Given  ex≈1+x+x22  over interval  -57,57

Q: R.1. Let N represent the set of positive integers. Define f :N→N by ƒ(n)=n² +1. Is fa one- to-one…

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Q: 1 1 3 3 1. 3 3 2 1 1 1. 2 1. 2 1. A 1. 1 3 6 2 1. 4 2 2 2 4 2 1 3.

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Q: Simpson's 1/3 Rule at x = [0," where n = 4 f(x) = eSin x Simpson's 3/8 Rule at x = [0," where n = 5

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Q: Determine the matuix that can becised to define rotatoon throwgh T about the point (2,-1).Find the…

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Q: 2 Eustacia can walk 1 mile in 12 minutes. She can walk 2 miles in 24 minutes. She can walk 3 miles…

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Q: Q1 Solve the second order differential equation; Y" – 5Y' + 9Y = 0

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: *(u pou) q. Therefore, the solutions are those integers x such that x = a (m)-1b (mod m). Example…

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Q: Estimate ë to five digits of accuracy by computing the integral of f(x) = 4/1 – x² for x € [0, 1].

A: Given fx=41-x2 and x∈0,1 I=4∫x=011-x2dx

Q: 2. Consider the system å = a- 20,x2 and i2 = -a2+a? a. Find the first few terms in the power series…

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Q: 13. Find a series solution of the problem ди ди + 2 dx + 2 + u, 0 0 dt u(0, t) = 0, u(T, t) = 0, t>…

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Q: Question 8 of 25 An equation of an ellipse is given. (a) Identify the center of the ellipse. (b)…

A: Introduction: The standard form of the vertical ellipse is given by, (x-h)2a2+(y-k)2b2=1 Where (h,k)…

Q: T: R2 R2 is defined by х + 7х, [3x, – 4x2] X1 %3D and B = {u,,u,} and B' = {v,v,}, where %3D -- --…

A: Given transformation T:R2→R2, defined by Tx1x2=x1+7x23x1-4x2 and B=u1, u2 and B'=v1,v2 Here u1=22,…

Q: (a) Using a power series appro ach about the point a= 0, show that the general solution of the ODE…

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Q: Find all numbers z such that Az3 + Bz² + Cz = D %3D B = [2 4 21 1 1 1. A = 1 3 1. 1 -2 2 4 21 C li 3…

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Q: Deter mine wheather the series is convergent or div a teleseoPing Som the nth Partial Sum Sn as Find…

A: Introduction:   A telescoping series is one in which each term uk can be expressed as uk=tk-tk-1.…

Q: List the ordered pairs in the relations on {1,2,3} corresponding to the matrix, [1 0 = 10 1 1 11 1.

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Q: Many soft drinks contain about 40 mg of caffeine in one can. Every 5 hours, the mass of caffeine in…

A: Hope it is useful

Q: 6. tanh (0.573 - j0.783)

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Q: Question 31 21 If z<x<0<y and |x-yl - Iz-yl - |x - z| = 4, %3D then x- z equals O 2 O1 O-4 Oo

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Q: 2 [n(n+1) Using induction prove that 1³ + 23 + ... + n³ = for n > 1. 2

A: To Prove: 13+23+...+n3=n(n+1)22 for n≥1 using Induction

Q: Question 11 Nancy read one third of a book, then she read one fourth of the remainder. If there are…

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Q: Question 5 Let a and b be positive real numbers and 6+ 1. Find a+6 if the exponential function f(x)…

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Q: Consider the following three vectors a in R' and the matrix [a b A = d e f [g h i whose columns are…

A: Hi! As per norms, we will be answering the first three subparts. If you need an answer to others,…

Q: 13 Evaluuare possible. the following ex pressions exacrly, If nor possible, srae why? arcos [cos (]…

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Q: 3. You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

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Q: Question 4 of 25 Given a circle where the center is (-8, -4) and another point on the circle is (-4,…

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Q: Question 11 of 25 Write the standard form of an equation of an ellipse subject to the given…

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Q: grate x2 between -1 and 3 between using both the stone throwing approach and the mean value…

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Q: 5. Use Gauss-Seidel method to solve for the value of x,y and z. 5x + In 2y-4/3z 51.2118 2x- 5 In y +…

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Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: 1. Find the general solution of the system: -6 2 X = -3

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Q: Question 9 of 25 An equation of an ellipse is given. (a) Write the equation of the ellipse in…

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Q: 18. What is the probability of drawing a diamond or a spade card from a standard deck of cards and…

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Q: Determine the Fourier series to represent the periodic function shown: 2л

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Q: Use the Root Test to determine the convergence or divergence of the ser 10) E: (In n)" n=2

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Q: Question 10 of 25 Write the standard form of an equation of an ellipse subject to the given…

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