Prove or disprove: if A and B are denumerable, then ANB is denumerable.

Q: A curve C is defined by the parametric equations x = 1- t2 y = t – t3 (a) Show that C has two…

A: To check concavity we eliminate t of the parametric equation and we see that the curve is union of…

Q: (a) A company has $300,000 to spend on two products. Suppose that the Utility derived by the company…

A: Given function is Ux,y=3000x0.65y0.35

Q: The base of a three-dimensional figure is bound by the graph x = cos(y) + 1 on the interval [-n, r].…

A: Option(2) is correct answer.

Q: ldéntities will prove useful in achie Exercise 12. Show that E, (T: – ¤) = 0 %3D | E (*: – µ)² = E…

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Q: Find the solution of the initial value problem y" + 2y' + 2y = 0, »(E) = 0, y' = 7. y(t) =

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Q: 5. Calculate the inverse of the following matrix using Gauss-Jordan elimination. A =

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Q: Are these triangles congruent and if, so, for what reason? O Yes, SAS O Not congruent O Yes, AAS O…

A: We want to find the given to triangles are congruent or not.

Q: To test for convergence or divergence of the series an, the ratio test computes the limit an+1 R=…

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Q: C. Consider the solid formed by rotating the region R about the line y = -1. Using your sketch from…

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Q: Suppose we have the triangle with vertices P(1,6, 1), Q(-3,7,–3), and R(5, 1, 1). Answer the…

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Q: The current in a certain circuit as measured by an ammeter is a continuous random variable X with…

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Q: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line r = (2i…

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Q: Let m, n e Zt such that gcd(m, n) = 1. Suppose there are M and N abelian groups, up to isomorphism,…

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Q: 12 + 22 + ...+ n² = n(n+1)(2n + 1) 6

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Q: Factorize the matrix into LU decomposition. [0 5 41 A = 5 1 2 1 2 3.

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Q: Addition Principle a) You are buying one item of clothing for yourself. You can choose from 5…

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Q: 3) Wrihout performing the dirrsHon, determine whether 1765a laa and 149a35678 are dirisible by 9…

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Q: n47- AdjacencyGraph [bigGraph, VertexLabels - "Name" ) Ou= G17. Is the graph above a connected…

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Q: %3B 20 40 . 10. (a) y(0) = 8 20 20 20 10 10 0 10 -20 -10 10 20 -20 -10 10 20 -20 10 20 -20 -10 10 20…

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Q: Suppose the position of a particle is given by parametric equations x(t) = 4t and y(t) = 2t2-1. (a)…

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Q: 1. Four friends (including Adam) were at the company picnic. Each friend had a different drink (one…

A: Answer: Adam-Water-Lime.David-Soda-Vanilla.Mary-Juice-Strawberry.Wilma-Tea-Lemon Explanation: step…

Q: The boundary-value problem y" = 4(y- x), 0 sxs1, y(0) = 0. y(1) = 2, has the solution y(x) =…

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Q: Show that, if gcd(a,n)=gcd(a-1,n)=1 then a is a solution of the polynomial parity x² + ... + xó(n)-1…

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme heorem or not. Indicate…

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

Q: 4. Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression. 5. Find…

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Q: Let Dibe each o the fillowing whepar pmetrically. Be conte po, wing the formaliam you have practiond…

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Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: Introduction: The mutually exclusive events are very important in the theory of probability. When…

Q: . The following data were obtained in an experiment relating time (t) (the independent variable) to…

A: We can solve this by calculating slope by using slope formula ,

Q: How long does it take for a loan of $5000 to accumulate $1000 if interest is compounded…

A: Compound interest formula for an amount P which is deposited for t years at an interest rate of r%…

Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: Introduction: When there is no common between two events, the events are mutually exclusive. The…

Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

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Q: 3. Determine whether the improper integral is convergent or divergent. Do not guess! y2 dy 0- y6+ 9

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Q: Suppose the region R is bounded by y = 0, y = x, and x = 1. Evaluate: 4.x2 dA =??? 1+x4 R 2.0 1.5 dy…

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Q: Suppose: w = f (s,t) s = s (x, y) and s(1, 10) = –6 t =t(x, z) and t(1, –9) = 3 Ultimately, after…

A: The solution is in given below

Q: What is the surface area of the composite figure? Round to the nearest tenth. 14 ft 14 ft 6 ft 14 ft…

A: The total surface area of an object is the total  area that the surface of the object has occupied.…

Q: In problems 1 to 3 solve the given differential equations by writing the general solution. Write all…

A: We can solve this by calculating complementary and particular solution We calculate particular…

Q: 2 Exercise. Let C be a curve drawn by: Find the length of the curve drawn by p as t runs from 0 to…

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Q: The table gives the readings from a laboratory experiment 1 4 Y 120 90 60 70 b+x A curve of the form…

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Q: 5. A curve has equation y + sin 2y = 2x – x². (a) Use implicit differentiation to show that y' = -1…

A: A curve has the equation  y3 + sin2y = 2x - x2 We have to draw the graph in neighbourhood of (2,0).

Q: Solve the following problems following Polya's Four Step Method and employing the different…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: 2. Assume that you have performed Gauss-Jordan elimination on an augmented matrix and have come up…

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Q: Use the method of reduction of order to find a second solution of the differential equation ty" –…

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Q: If two functions are defined as: g: from (1,2,3} to {a,b,c}, and g(3) = a, g(2) = b, g(1) = c h:…

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Q: (e) You are advised that the relationship between unit price p, and the quantity q is dp given by…

A: Here in (c) we have to find dp/dq  And in (d) we have to find dp/dq at p =9

Q: Problem1 : For values x=[ 1:1:25] , plot y1= 2 x +1 and y2= x+ 0.5 1. Use different colors and line…

A: To plot: y1=2x+1 and y2=x+0.5 for values x=1:1:25   (1.) To use different colors and line shapes for…

Q: In problems 1 to 3 solve the given differential equations by writing the general solution. Write all…

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Q: 7. Find a linear differential equation with constant coefficients Ly = 0 such that y(x) = cos(x) +…

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Q: Prove that |(a, b)| = |(c, d)| for any numbers a, b, c, d where a <b and c< d. Proof: %3D Prove that…

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Q: Find the solution. 6y'-2y = xy4 A) y-3- (х— 1) — се^ 2

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Q: For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of…

A: Use the given information and the relevant definitions