PROPOSITION 4.8. (1) If {U1, ..., Un} is a collection of closed sets, then JUk is also a closed k=1 set. (2) If {Ua} is a collection of closed sets, then Ua is also a closed set.

Q: Consider the logistic equation in the form P'(t) = CP − P2. C = 4 Draw the directional field.

A: The part of slope line is called the lineal element.

Q: f (x) = { 0 S 1 if x is rational if x is irrational at any point x. (b) f(x) = (sin x)/x at x = 0. (...

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Q: The level curves of the function x, y)= (*0, y # 0) are: a. concentric circles with the origin at th...

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Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x. 

Q: 17. Prove that if S = {v,,Vz, V3} is a linearly dependent set of vec- tors in a vector space V, and ...

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Q: elenda received an order from a client to be finished in two weeks for her furniture business. If tw...

A: To determine the number of workers needs to finish the work in two weeks.

Q: /Find all the second-order partial derivatives of the functions 1. g(x, y) = xy + cos y + y sin x

A: If z=g(x,y), then the variables x, y are called the inputs of the function, and z is called the outp...

Q: 14. Show that if f is a monotone function defined on [a, b] that satisfies the intermediate value pr...

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Q: 2. Given the following possible solutions to a differential equation. A. y = 2sin (x) B. y = 2cos (x...

A: Given the differential equation yy'+2sin2x=0We have to find these following solution satisfy differe...

Q: 4. Show whether the given vectors (1,0, 0), (0, 2, 0), (0, 0, 3), and (1, 1, 1) form a basis for R. ...

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Q: Find all triples of integers (x, y, z) that satisfy x² + 2y² = z2.

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Q: Assuming the truss members only bear axial loads, the following set of 10 equations can be determine...

A: Assume the truss members only bear axial loads, the following set of 10 equations can be determined:...

Q: fund the laplace of Cos it CoS Bt dt

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Q: On which of the following intervals is f(x) = continuous? %3D x-

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Q: Select ALL possible answers. Which of the following is'are NOT true of the function f (x) whose grap...

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Q: Find the Inverse Laplace transform of the following. You may use the table, wher applicable. Show CO...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: EXERCISE 18.2 2. y 3x + 6 1. yx-1 4. y+2x 3 3. y-+2

A: Intercept of a line : It is a point on the line that touches x-axis and y-axis x-intercept is the po...

Q: 6. (a) Write the following in reduced row echelon form.. Determine (b) a basis for and (c) the dimen...

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Q: Match each series with the test that most efficiently determines whether the series converges. n² + ...

A: Given series which we have to match with the tests that shows that they are convergent. i)∑n=1∞n2+3n...

Q: A nut shop packages mixtures of different nuts for sale. From peanuts, cashews and almonds. The cost...

A: Let x represent number of pounds of peanuts, y represent number of pounds of  cashew and z represent...

Q: 2. Consider the differential equation dy da = 3(2-y)(y+ 2). %3D If y(0)=1, then determine lim,-00 y(...

A: We know that if the first order derivative of a differentiable function is positive (nagative) at a ...

Q: 6. [0/1 Points] DETAILS PREVIOUS ANSWERS EPPDISCMATH5 9.7.024. Use the binomial theorem to expand th...

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Q: Find the matrix A of the linear transformation T from R2 to R that rotates any vector through an ang...

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Q: Primal Dual max zp = 5x1+ 4x2 s.a 6x1 + 4x2 S 24 X1+ 2x2 56 -x1 +x2s 1 x2 52 min zd = 24yı + 6y2 + y...

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Q: Find the round-off error of the following using 5 significant digits: 1 1. 3 2. tan 150 3. 1 — п 4. ...

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Q: dy (x + 1)+ y = In x dx У(1) 3D 10

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Q: 3 Find lim S-2- \s-2 s2–4, Your answer

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Q: Cassandra received a loan of $7,700 at 4.25% compounded monthly. She settled the loan by making peri...

A: To determine the size of the periodic payment.

Q: Find the laplace transforms of (te^tsin(at))^a , when a= 1

A: The Laplace transform of a function f(t) is defined as Lf(x)=∫0∞e-stf(t)dt. In this case we have to ...

Q: Find the left and right cosets of ((12)) in S3.

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Q: Evaluate the Laplace transform of the following: 1. Prove: L{e-at cos kt} = sta (s+a)²+k2 using the ...

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Q: Determine a fourth degree polynomial inequality with the following solutions 0.5 3. Please write you...

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Q: 11. For the following, (a) Find the characteristic equation of matrix A, (b) Find the eigenvalues of...

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Q: 5x3 – 10x Simpson's sult of the

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Q: 2. Show that if a and b are positive integers and alb, then a < b. 3. Show that if a and b are integ...

A: Basic facts about division will be used in solving this problem.

Q: Let A={x:xER and x is a solution of x²+2=0},then A is a null set ylgn ihi

A: We have to check whether the statement, "Let A=x:x∈R and x is a solution of x2+2=0, then A is a null...

Q: Find a formula for the Riemann sum for f(x) = x² – x³ obtained by dividing the interval [-1,0] into ...

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Q: let us efine fn enj-S (n) = otherwise b) we wo ld like to calco late the lebesgue integral Sf dm How...

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Q: 1 2 3 4 876 5 M = 1 2 3 4 100 1 1. Is M3 defined? (yes or no) 2. If M3 is defined, explain how you k...

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Q: A supplier gives a 25/9 discount series to customers who buy goods worth Php 50,000 or more. If a cu...

A: A discount series, also called a chain discount or trade discount series, occurs when multiple disco...

Q: 17. /x(2- x)° dx 1/3

A: Introduction: Suppose, a function fx is given. We want to determine another function φx such that φ'...

Q: 123 A = 3 4 5 Given matrix A above, what is At?

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Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm ...

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Q: E+ 4) for x e [O, of f(x)?

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Q: power expansion of (e^x)/1-x

A: Given f(x) = ex1 - x

Q: What's the square root of 256

A: We have to find the square root of 256 that is we have to find the 256. 225621282642322162824221 Now...

Q: Use the inverse method to solve 2.x1 + 3.x2 = 3 5.x1 + 4.x2 = 11

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Q: 6. If a series £u, converges to the sum u then so does any series obtained from Eu, by +he torms in ...

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Q: Which of the following set can be considered as a universal set? .a z={z:xzis an integer number} .b ...

A: The universal set is defined as the set which contains the whole.