Give an example of an infinite collection of open sets whose intersection is not open.

Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

A: The height is given by the function We know thatThe average velocity over the interval is given by…

Q: if xzo The function f(x) = { 1 + x² if aso a) belongs to ('(R) b) has a cusp the origin at the c)…

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Q: Similar to the last problem, let a and every member of group B has exactly b dollars. If the total…

A: Each member of group A has exactly  dollars.Each member of group B has exactly  dollars.Total number…

Q: Determine if the following are equivalent, by giving their truth tables: ¬(q⇒p) pV -q

A: The objective of the question is to determine if the two logical expressions NOT (q IMPLIES p) and p…

Q: Solve the system below. 2x + by + z +3y x -x 7w = 4w 3y + 2 + 5w T The particular solution is: y + -…

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Q: 2 An object of mass 2 kg falls from rest towards great height, If the air resistance the earth from…

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Q: Margo borrows $100, agreeing to pay it back with 6% annual interest after 16 months. How much…

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Q: You roll a die 8 times and tabulate the results, counting the total number of 1s, 2s, 3s, 4s, 5s,…

A: a) How many tables are possible?(b) How many possible tables contain zero zeroes?(c) Is the…

Q: Let A = {1, 2, 3, 4), B = {1, 3, 5) and C= {2, 4, 5). Find: A x BI, IP(A x (BNC)), IP(A x P(B))|,…

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Q: 2. This problem tests your understanding of the set notation. Consider the problem P with five…

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Q: The derivative of a function f is a new function f'. The domain of f' us a subset of the domain of…

A: Given that the derivative of a function  is denoted by .The objective is to find the description for…

Q: solve the Following g(²) + 18 g ² + 814: DE " + 814 = sin√(√3 x) Cash (√5 x) cosh

A: The given differential equation is .We know that .We know that the particular solution for the…

Q: consider the function f(2)= x³ +32+1 in the interval [-3,3]; we can say a) f has no zeroes in the…

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Q: given that the instantaneous rate of change of a polynomial is never zero on the entire domain of…

A: Instantaneous rate of change of a function is nothing but the slope of tangent of a function.If…

Q: 3. Consider the same data set as that in Problem 3 of Homework 1. I -20 1 2 f(z.) 5 1 -1 5 (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: For the problem max 12?1+8?2  s.t. 6?1+5?2≤18, 7?1+4?2≤22, ?1≥0,?2≥0

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Q: 6. Verify that the composition of two Möbius transformations is another Möbius transformation.…

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Q: From the graphs given, select all graphs that represent power functions of the form yaz" (power…

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Q: Not all the items in your office supply store are evenly distributed as far as demand is concerned,…

A: Given data, Week 1300Week 2400Week 3600Week 4700A three-period moving average method averages the…

Q: Graphically represent the following complex numbers, obtain their modules and, in view of a drawing.…

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Q: 1. Write a proof to show that circles G and H are similar. Circle G has a center of G(8,-1) and a…

A: We Write a proof to show that circles G and H are similar. Circle G has a center of G(8, - 1) and a…

Q: If A and B are 2 × 2 orthogonal matrices, show AB is also orthogonal.

A: Let A and B be    orthogonal matrices.We have to show that AB is an orthogonal matrix.We know thatA…

Q: An interest free loan is repaid in two equal instalments, the first after a year and the second a…

A: (I.) The duration of the loan is :False. The duration of the loan is indeed . Since, the loan is…

Q: Solve the seperable differential equation for. dy 1 + x = ; x > 0 dx xy² Use the following initial…

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Q: Make a conjecture about the size of an interior angle of a regular polygon as n

A: In a regular triangle (equilateral triangle) the sum of angles are 180 degrees where all interior…

Q: Determine whether the statement below is true or false. Justify the answer. Another notation for the…

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Q: Let f and g be real-valued functions defined on (b, ∞). Suppose that limx->∞f(x)=L and…

A: The objective of this question is to prove the properties of limits of functions as x approaches…

Q: - Alexis installs wind turbines on the Prairies. For installations on rocky ground, she uses guy…

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Q: Find all complex numbers z (in binomial form) that are solutions to the foll

A: The given equation is

Q: km, k=1 m = 0, 1, 2 or 3 (these identities were discussed in class and also appear in the textbook),…

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Q: 2. Suppose that P and Q are statements for which P→ Q is true and for is true. What conclusion (if…

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Q: Find all solutions of the system (E) of linear equations -98x + -24y + -9z = 13x + 3y + 1z = 7x + 2y…

A: The given system of linear equations are:We need to find the row reduced echelon form of the…

Q: Bicios%20de%20evalluación%20de%20ca + s TUS, ..

A: For a complex number  the modulus is  and the argument is .

Q: solve for x.

A: We have to find the value of x

Q: Draw a sketch of the following subsets of R²:{(x, y) : x² + y² ≤ 1}

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Q: In the complex plane C (a) Find singular points of the functions 1 • f₁(z) = zi f2(2)=√z²+1, f3(z)=…

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Q: Suppose that the system of linear Diophantine equations has solutions of the form x + 5y + 2z = 158…

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Q: It is known that vectors p = (1 2 3), q = (-4 -4 -6), the basis frame is formed by three orthogonal…

A: Given that, Now, find the inner product, cross product and angle between

Q: 18.- Define the symmetric matrix corresponding to the following quadratic form: F(x, y, z)= x² + z²…

A: Given quadratic form isWe have to define the symmetric matrix corresponding to the above quadratic…

Q: Male bees hatch from unfertilized eggs and so have a mother but no father. Female bees hatch from…

A: gen 1: 1gen 2: 1+1=2gen 3: 1+2=3gen 4: 2+3=5gen 5: 3+5=8 all the way to the 12th gengen 12:…

Q: 1. Use set identities or different proof method to show that: a) (B–A)U(C – A) = (BUC)-A b) (A-C)n(C…

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Q: Which of the following trees are bicentral? Recall that a bicentral tree has two centres. Ants Tree…

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Q: Let a, b be integer constants and suppose that the polynomial P(x) = x³ + ax² + bx + 13 has at least…

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Q: Given A = X = 3 2 4 -1 -7 -2 -22 มี + t 35 and b = 30 15 000 2 describe all solutions to Ax = b in…

A: The given matrix  and the vector .The aim is to find the solutions to the eqution .

Q: Selected values of the function f are shown in the table below. There is a number c in the clos…

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Q: Suppose a smooth function f(x) satisfies f(0) = 0, f(1) = 2, and that f[x0,x1,x2] = 1  for any three…

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Q: Where did the (I-2A)^2 come from? It is not clear.

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Q: solve the differential equation e dy + 2y = 4ety ³² dx

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Q: Prove or disprove: If ab is congruent to 0 (mod n), then a is congruent to 0 (mod n) or b is…

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Q: Solve y'= r²(1 + y²), y(0) = √3 y(t) =

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