Find the center of mass of the interior of the hemisphere of radius 4 with its base on the .xy- x² + y² + z² plane. The density is f(x, y, z)=2+² 4

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Q: Consider the following initial-value problem. d²y dt² Find all the roots of the auxiliary equation.…

A: The given initial value problem is ,             d2ydt2-4dydt-5y = 0                           ;…

Q: 298.00 37.00⁰ 39.00 DIA 90.00⁰ 72.00⁰- -78.00 DIA -96.00° +

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Q: .

A: Given :  y1''=2y1+y2+y1'+y2'y2''=-5y1+2y2+5y1'-y2'    ,  y10=y20=y1'0=4   , y2'0=-4 To Find :…

Q: 2. What is the least residue of 610 C 512 10.4512 (mad 1112

A: Euler's theorem is used

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Q: The unpaid balance of an installment loan is equal to the present value of the remaining payments.…

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Q: Let A be an n × n matrix and let λ be an eigenvalue of A. Show that if B is any matrix that commutes…

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A: solution is given below:

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Q: Convert x/(x-9)(x-10)(x-11) to factor polynomial

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Q: The dividend was divide by another polynomial, resulting in the given quotient and remainder. Find…

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Q: 3. When The polynomial 8x^3 + 10x^2 − px − 5, is divided by 2x + 1, there is no remainder. What is…

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Q: For every real numbers a and b, b = 0, |a| |b| b

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Q: Exercise 2 For each of the following logical expressions, say whether they are true, or give coun-…

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Q: 19. The medians of ATUV are TX, UY, and VW. They meet at a single point Z (In other words, Z is the…

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Q: Based on statistics from a worldwide health organization, in 2005 there were 39.7 million people…

A: Given,  In 2005,Number of people living with disease=39.7 millions In 2015,Number of people living…

Q: Prove that if f(n) is multiplicative, then so is f(n)/n.

A: We have to prove that if f(n) is multiplicative, then f(n)n is also a multiplicative function.

Q: 2. If 4 times a number is added to 5, the result is 35 more than the number. Find the number.

A: We follow the instruction of the question to find the desired number.

Q: Laim. {21n: ne Z} U (14n: ne Z} C {7n: ne Z}. a) ( -) Write the claim as an (equivalent) if-then…

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Q: 2) Functions with greek letter names Consider the integral: 1 (1²-1) e-(²+1)² dt Rewrite this in…

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Q: For part b, how did you get the total 5005

A: Solution of second part is wrong.  In the second case, Customers are told to choose 4 pastries and 2…

Q: Prove & (2n) = $ &(n) if n is odd. ( 2. p(n) if n is even,

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Q: Based on the function Solve for f-1 f(x) = 3x-1 + 2 Indicate the domain and range of f and f-1…

A: The functions: f(x), f-1(x) are symmetrical about the line: y=x. For a function: y=f(x), the set of…

Q: Consider the problem maximize −x1 − 2x2 subject to x1 ≥ 0 x2 ≥ 1. (a) Convert the problem into…

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Q: 1. y a cos x ae-4x + 2x 2. y = ae ; y' + ytan x = 0 1 2 3.x = t³ sint + 4t-3 ; y' + 4y = 8x dx dt ;…

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Q: Disclaimer: Answers un-original (plagirized from external sites e.g. chegg) will be downvoted and…

A: Level curve: A curve formed by the set of points x, y where fx, y gives a constant value is called…

Q: Show that the improper integral Ꭲ converges. lim T→∞ sin(x) sin(x²) dx

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Q: Traveling on, you meet Merlin and Meredith. Merlin says, “If I am a truth teller, then Meredith is a…

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Q: Can a (6, 3) binary linear code be double-error-correcting using thenearest-neighbor method? Do not…

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Q: Problem 5. The functions f(x) = 2x and g(x) = |x| can be considered elements of the vector space…

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: Take this polynomial: -3x4-7x³ + 2x² + 15x + 31. Without actually graphing it, how can you tell…

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Q: Suppose that the average monthly low temperatures for a small town are shown in the table. Month 1 2…

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Q: 13 Prove that n=2²°² is a square. 2K+1 where K = 1 (n)

A: (.)   Given ,                      n = 22k+1 (.).  Euler's  ϕ-function  ϕ(n) counts the number of…

Q: Identify the equation as a homogeneous or exact differential equation. Then solve the equation. a)…

A: a) The differential equation is given by:  (x2+xy+y2)dx-x2dy=0   We have to identify the above…

Q: 3) Let M be the set of all the words you can get by switching the letters in ENANNANANANAS How many…

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Q: Complex Numbers using Scilab (4−5i)(12+11i) (−3−i)−(6−7i)(−3−i)−(6−7i) (1+4i)−(−16+9i)…

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Q: #3 #4 #5 y=tan(x/3) y=sin(0.5√√x)/x y=e³ + x at x = 3 at x = 1 at x = 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Show complete solution and draw the figure     A farmer is to make a rectangular paddock. The farmer…

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Q: Consider the surface defined by z = f(x,y), where: x²y 2(x² + y²) f(x, y) = Write down the equation…

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Q: Suppose the following differential equation models mechanical vibration: u" +0.01u'+u = Fo cos(wt).…

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Q: Let the joint probability density function of random variables X and Y be given by f(x, y) = 2 if 0…

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Q: -{0.0} of T with respect to the standard (canonical) basis for C³. Let T C3 C3 denote the projection…

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Q: If n is any integer and n³+5 is odd then n is even.

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