List all subsets of {a, b, c, d, e} containing {a, e} but not containing c.

Q: Find the area of the surface obtained by rotating the curve y = x², 0 < x< 1, about the y axis.

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Q: Find a particular solution to y′′+36y=60sin(6t) yp=

A: The given differential equation is  To calculate the particular integral let us consider If we put...

Q: Please solve this question. Thank you

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Q: Is 2k-1 odd or even number ?? Write conclusion and proof.

A: Even number is a number which is a multiple of 2.

Q: 54. Transportation For every 1-mph reduction of average speed below 65 mph, a trucker will save 1.5%...

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Q: Assume that Tom attends class randomly with probability 0.55 and that each decision is independent o...

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Q: Consider the differential equation y′′+αy′+βy=t+e4t. Suppose the form of the particular solution to ...

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Q: 1. Show that the set of all polynomials of deg=2 is not a vector space over reals. can this be fixed...

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Q: Reading Section 1.6-1.8 Problem Prove the following theorem: Theorem Vn E Z, n is either even or odd...

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Q: Can you help me with question 1 in the picture?

A: The graphical representation:                    

Q: dy Solve the initial-value problem for y as a function of r. (4 x) = 1, y(0) = 4 de 1/4log(abs(2+x)/...

A: Given initial value problem is,

Q: Bill bought a drill priced at $89.88. It was on sale 30% off. What was the final cost including 6% t...

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Q: 97. State whether the approximation MN or TN is larger or smaller than the integral. sin x dx 2л sin...

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Q: use 4.9t 2 + v0t = s. 29. Downward Speed. A stone thrown downward from a 100-m cliff travels 51.6 m ...

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Q: Abby rows 10 km upstream and 10 km back in a total time of 3 hr. The speed of the river is 5 km&gt;h...

A: Consider the provided question, Given speed of the river is 5 km/h. Let Abby’s speed in still water ...

Q: Find the surface area of the unit sphere S represented parametrically by : D → S c R', where D is th...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Assume that the weighted coin yields a heads with probability 0.75. You select one of the two coins ...

A: According to the given information, a weighted coin yields a heads probability = 0.75 One of the two...

Q: Try to find the area that is not cover by the green shaded area thank you.

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Q: In the equation P(t) = 504 (1.05)t  , what is the initial amount/population? Which one is it? 1.05...

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Q: Use a technique of integration or a substitution to find an explicit solution of the given initial-v...

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Q: Prove the statement by the method of exhaustion: For each integer n with 1 less than or equal to n a...

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Q: How do you draw a truth table for A and B

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Q: Please find the question attached.

A: We need to solve the given differential equations using Laplace transformation. For (a),

Q: Use the table of values of f(x, y) to estimate the values of fx(3, 2), fx(3, 2.2), and fxy(3, 2).   ...

A: We are given the following table. x                     y→ ↓ 1.8 2.0 2.2 2.5 12.5 10.2 9.3 3...

Q: Find the area of the graph of the function f(x, y) + y3/2) that lies over the domain [0, 1] × [0, 2]...

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Q: By vector methods show that the line x = y = (1/3)(z + 2) is parallel to the plane 2x - 8y +2z = 5..

A: Any arbitrary point P0 on the line can be determined to be as:

Q: Quantified Statements For questions 3-4, write the negation of each quantified statement. 3. Everyon...

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Q: Please help me with this problem. How can I explain using (x0+ ε, x0-ε)? Explain why it is true that...

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Q: To find the Laplace transform of e^(2t)sinh(at) you would substitute _______ into a/(s^2-a^2) which ...

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Q: Solve this task from attached image and write full computation.

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Q: A rock is thrown upward from a bridge that is 21 feet above a road. The rock reaches its maximum hei...

A: We are given that the function is of the form, f(t) = c(t-t1)(t-t2). We are given that, The rock rea...

Q: The problem that is listed below need to be solved and you may access that problem via viewing them ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and sp...

Q: Find the average value of f(x, y, z) = x + z² on the truncated cone z x2 + y2, with 1 < z< 4.

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Q: #25b, #25c

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Q: If the tiles are sold in a case labeled " covers approxmately 6 3/4 Square Feet". How many tiles wou...

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Q: Assume that you have 10 mice in the cage: 3 white males, 5 gray females, and 2 gray males. Two mice ...

A: When two mice are selected simaltaneously and at randam, it is given that exactly one is gray, there...

Q: Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mi...

A: The given linear programming can be formulated to be as:

Q: A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike...

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Q: Let D = E = {−2, −1, 0, 1, 2}. Write negations for each of the following statements and determine wh...

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Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function e...

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Q: 5

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Q: 8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x can...

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Q: 14. Find the absolute maximum temperature and absolute minimum temperature of the temperature functi...

A: We need to find the absolute maximum temperature and absolute minimum temperature of the temperature...

Q: Give an example of(a) a function f : Z → N that is both one-to-one and onto N; and(b) a function f :...

A: Here, we need to give an example of(a) a function f: Z → N that is both one-to-one and onto N.

Q: Flo sets a goal of walking 10,000 total steps per day. Flo's normal routine involves walking 4,000 s...

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Q: Use the unique factorization theorem to write the following integers in standard factored form: 1) 5...

A: According to unique factorisation theorem every number can be represented in the form of positive pr...

Q: Use the error bound for SN to obtain another proof that Simpson’s Rule is exact for all cubic polyno...

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Q: Let y be the solution of the initial value problem y′′+y=−sin(2x), y(0)=0, y′(0)=0. Find the maximum...

A: Here, differential equation is y’’+y=-sin2x

Q: 5

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Q: Let G be a graph of order n and let k be an integer with 1≤k≤n−1.Prove that if every vertice of G su...

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.