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Q: Problem 2: Let W(x, y) be the statement "Student x has visited website y", where the domain for cons...

A: Since you have posted a question with multiple subparts according to guildlines I will solve first t...

Q: 1. Let u be a smooth harmonic function inside the unit ball B(0, 1) in R? so that |u| < 1. Prove tha...

A: To prove this we will use the following tools : Solution of Laplace's equation in polar coordinates...

Q: a. Construct a truth table for (p ^~ q) v (~p v q). b. Use the truth table that you constructed in p...

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Q: 11. Prove from the definition that the following functions are differentiable. ()- (b) f =xy?

A: By the definition, the function f(x,y)=xy^2 is differentiable if fx(x,y) and fy(x,y) both exist.

Q: 3 3 Accumulate P70,000 for 2 years and 9 months at 22% simple interest. 4

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Q: 1. Derive the generating function A for a scries an if an is defined recursively as a, = an-1-2a,,-3...

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Q: Danielle's text messaging plan costs $13 for the first 350 messages and 5¢ for each additional text ...

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Q: Fill in the blanks in the proof of the of fact that 3" – 1 is a multiple of 2 for every natural n. "...

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Q: 4 5 A = - 1 4 - 3 - 3 1-3 2. 2. 3 -5 -3 -5 Find the inverse Aof the given matrix A if it exists

A: Given: A=0-145-14-3-31-3223-5-3-5

Q: Use the eigenvalue-eigenvectors to solve the mitial value problem 5 -4 0 1 0 2 X, X(0) = 2 5

A: We will find out the required solution.

Q: A tank is full of water when a valve at the bottom of the tank is opened. The equation V = gives the...

A: Note: according to our guidelines we can answer only first three subparts

Q: Use a concrete representation on a place value chart to perform the following additions. (a) 11four ...

A: Addition with base 4

Q: Suppose we are considering 2D points, so x (x, x). Define (x) (x, V2x1x2, x). Show that (x) p(z) = (...

A: Given that, considering 2D points x=(x1, x2). Define                 ϕ(x)=x12, 2x1x2, x22. We shall ...

Q: Find, using the characteristic polynomial, the eigenvalues and eigenvectors of the matrix c -[; 7]. ...

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Q: Provide a linear equations that can have Exactly one solution  (Lines intersect), No solution (Lines...

A: Please check step 2 for solution.

Q: Solve the given initial-value problem: x2y'' + 3xy' = 0,    y(1) = 0, y'(1) = 10   y(x) = ?, x>0

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Q: Question 3. Let C, and C8 be the coordinate maps from P2 to Rº, where a = (1, x, x²) and ß = (1,1+x,...

A: We write the co ordinate map under alpha and beta of 1+x2.  

Q: Find f'(x) where f(x) = ln |x|. Note: in this context x is a real number except it is not zero.

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Q: If a third degree polynomial has a lone x-intercept at x=a , discuss what this implies about the lin...

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Q: please help me with this Give an example of a function you used in everyday life. Determine the dom...

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Q: A system is described by the following differential equation: dy, dy dy d'x + 4 dx dx +3 +6 + 8x dt ...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: (3) (i) A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick tha...

A: Given- A broken pipe at an oil rig off the east coast of Trinidad produces a circular oil slick that...

Q: 4. Evaluate the double integral ry dA where D is enclosed by the curves y = r², y = 3x.

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Q: For each of the statements below, indicate if it is true or false. You do not have to provide an exp...

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Q: Find the volume of the solid of revolution formed if the area enclosed between y = x, y = (x – 2)' a...

A: Volume by Disk method

Q: Express the following in terms of unit step function and then find distinct formula for inverse tran...

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Q: Prove the following statement by contradiction. For any integer n, if n² + 4n + 5 is even, then n is...

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Q: Let G be a group. Prove that Z(G) < G.

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Q: Suppose M 4 G and M < G. 1) Prove that Mn N 4 G. 2). If M N N = {1}, show that for m e M, n E N, mn ...

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Q: 4.) Find the Determinant Value and the variable x, y & z? - x +2y -3z = 1 2х = 0 3x -4y +4z = 2

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Q: use the Laplace transform to solve the initial-value problem y" + y = 6 + y(0) = 0,y'(0) = 0

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Q: Determine the set of all basic solutions of the following polyhedra and determine, for each basic so...

A: For (1.1), We are given that P=x1, x2T∈ℝ2 : x1-x2≤1, 2x1-2x2≥-4, x1≥0, -2x1-x2≤-2. So, we have 4 ine...

Q: Let f be a continuous function on [a,b]⊂R and f(x)∈[a,b] for all x∈[a,b]. Prove that there exists a ...

A: Given that a,b⊂ℝ and f is a continuous function on a,b such that fx∈a,b for all x∈a,b.. Case 1: Supp...

Q: 5. Consider the follow statement: "The Euler method can be used to approrimate any ODE of the form F...

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Q: 14 Rule Subtract 7 12 15 out 10 21

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Q: Use the elimination method to find a general solution for the given linear system, where differentia...

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Q: Let p="It rained last night", © F"The sprinklers came on last night," r="The lawn was wet this morni...

A: Given: p= "It rained last night" q="The sprinklers came on last night" r="The lawn was wet this morn...

Q: 1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following...

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit t...

Q: In a certain study about 2 pollutants, it is found out that pollutant A has 30% chance of polluting ...

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Q: Three forces P, Q, R act along the sides of the triangle formed by the lines x+ y = 1, y –x = 1, y =...

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Q: What are the minor and cofactor of 3 in matrix. 3 2 5 8 -4 4

A: According to our guideline, we can solve only first question of multiple question. If you want furth...

Q: c) How many subgroups does (Z36, O) have? What are they? 5.5 Find all the subgroups of Qs. Show that...

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Q: A2.3. Consider the periodic functions that are defined by 0st< 2n; f(t+27) for all t, and 0<t< 2n; g...

A: Please check further steps for solution.

Q: Give 1 example of real life situational that involves determining the function model in peicewise fu...

A: In day to life taxi fares are a piecewise constant function of distance traveled The rate of income ...

Q: 1. Derive the generating function A for a series a, if a, is defined recursively as a, = an-1-2a,-a ...

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Q: 2) Theorem 6. Va E N,a.0 =0.a = 0.

A: At first we will assume the proposition to be P(a) then we will show that P(1) is true. After that w...

Q: use the Laplace transform to solve the initial-value problem 3. y" + y = 6(t -T)+ 6 (t - y(0) = 0, y...

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Q: 8) G-Q; H-(I, J, K)

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new ques...

Q: An MP3 player was reduced from  $229.99  to  $109.99 . Find the percent reduction in price. Round t...

A: The original price of MP3 player is $229.99 The reduced price is $109.99 The reduction in price is g...

Q: 2. An invertible n x n matrix A is called orthogonal if AT = A-1. (a) If A is orthogonal, what are t...

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