Let S, T be any subsets of a universal set U. Prove that (ST)º = S¢ µTº.

Q: A train travels along a set of tracks according to the function s(t)=r-121² +45r+ 4 for r 20, where…

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Q: On the real number line the origin is assigned the number ....................

A: In this question, we have to determine that what number is assigned as origin in the real line.

Q: Suppose f(): R" → R. Define (a) The directional derivative f'(x; v) at x in direction v. (b) When…

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Q: You begin your treatments on Unit A. Mrs. Q's® heel is described as a reddened are 1 XI cm. You…

A: Mrs. Q's® heel is described as a reddened are 1 XI cm.And, You remove the dressing and find a…

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Q: K The drama society members are voting for the type of play they will perform next season. The…

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Q: The region bounded by the curves y² = 8x and 2y = x³ is revolved about the line y-axis. Find the…

A: Given the curves y2=8x, 2y=x3 revolved about the line y-axis.

Q: On the basis of data from 1990 to 2006, the median income y in year x for men and women is…

A: Consider the given linear equations, -237x+2y=63300              …1-850x+3y=46199              …2…

Q: find the invertible model matrix P and show that P-¹AP = D where D is the diagonal spectral matrix.…

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Q: Question 6. Suppose a 3 x 5 coefficient matrix for a linear system has three pivot columns. Is the…

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Q: Have you ever noticed in a movie that the wheels of a car will seem to spin in the opposite…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Problem 9. Which elimination matrices E21, E32, and E43 are needed for 2 -1 0 0 -1 0 2-1 2 A = 0 0 2…

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Q: Question 11 Given the function j(x) = 5-3x, which of the following statements is TRUE? A B D The…

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Q: Prove: For all integers a, b, and c, if a|(bc), then a|b or a|c.

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Q: What is the constant term when Blank 1 Add your answer Question 17 A If F= {(3,5),(-4,2).(-11,-1)},…

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Q: Consider the statement: P: Every odd integer is a multiple of 3. (a) Rewrite P as an if-then…

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Q: a) d) 125° 3/2 b) 34 +35 1 log₂ 32 G f) 24 log, √16

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Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

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Q: compute the number of sequences formed from 3 a's, 5 b's, and 8 c's. a) that have no consecutive…

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Q: 7.Solve the following: -4ury + 4 Ugy =xfor-∞o < x,y<∞

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Q: In Exercises 1-6, graph the given equations and determine how many solutions the system has, if any.…

A: 3. The given system of linear equations, 12x-34y=06x-9y=0  We have to sketch the graph of the…

Q: Prove that for all n € N, 91(4" + 6n + 8) and n € N, 31(n³-n).

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Q: Assume f and g are continuous with f(x) ≥ g(x) 20 on [a,b]. The region bounded by the graphs of f…

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Q: 3. How many 5-digit positive integers are there in which there are no repeated digits and all digits…

A: 3 We have to find the number of 5-digit positive integers are there in which there are no repeated…

Q: 1.1 Let z and w be two complex number; Zn be a sequence of complex numbers converging to zo 1.1.1…

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Q: Find the percent error in the estimate compared to the actual amount of soundproofing material…

A: We meed to find the percentage error for the sound proofing material  Given  Actual soundproofing…

Q: Find the slope of the line passing through the pair of points below. Assume that all variables…

A: Remember : Slope of a line passing through two points x1, y1 &amp; x2, y2   is m=y2-y1x2-x1

Q: 5x - 15x - 3x X = y = Z = - + + 10y + 23y 5y - - 60z 152z 32z || || || - 15 24 6

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Q: 23. All teachers occasionally make mistakes. No gods ever make mistakes. No teachers are gods.

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Q: (3+ y + 2y²sin²x) dx + (x + 2xy-ysin2x)dy = 0; when x = 4, y = 1

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Q: 618 x 99 6182

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Q: Show that x4 +1 is irreducible over Q but reducible over R.

A: We have given that fx=x4+1.  We need to show that fx is irreducible over ℚ nut reducible over ℝ. We…

Q: Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: In a hyperbolic plane, let ABCD form a quadrilateral with right angles at A, B, and C. The…

Q: . A dolphin tank at Sea World is being filled. The tank has a volume of 50,000 liters. In order not…

A: As per norms, we will be answering the first three subparts. If you need an answer to others, then…

Q: Advertising You are the marketing director for a company that manufactures bodybuilding supplements…

A: Let x be the number of page of Ad in magazine A and y be the number of page of Ad in magazine B.…

Q: Prove that a convergent monotonic sequence is bounded.

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Q: p: This is a dog. q: This is a mammal. Select the statement below that matches the following…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Introduction: Differentiation is the process of figuring out a function's derivative. It is obvious…

Q: Encrypt this plaintext using Decimation Cipher with key of 3 (Use the attached photo as reference)…

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Q: Question 23 Which among the following relations are considered as functions? (You need to choose all…

A: A relation from a set A to a set B is a subset of A x B A relation is a function if for each x there…

Q: A cylindrical vessel without lid is 4 cm in radius and 10 cm in height. If the vessel is to be…

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Q: Consider the initial value problem y′′+γy′+y=kδ(t−1),y(0)=0,y′(0)=0 where k is the magnitude of an…

A: Given : y''+γ'+y=kδt-1     ,    y0=0   ,   y'0=0 To Find : k112             : k214

Q: Evaluate [(√₁-x²-√₁-x³) dx. 1- 5

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Q: 2. (yexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2

A: Let us consider the differential equation Mdx+Ndy=0. Then the equation is exact if ∂M∂y=∂N∂x. Then…

Q: Use the Picard-Lindelöf Theorem to identify and sketch the largest possible region R on the zy- lane…

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Q: 7. Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: To show : Lambert quadrilateral is acute in hyperbolic geometry.

Q: Our goal here is to give a more precise definition for limits and continuity, and use those to prove…

A: Since you have asked a question with multiple subparts so as per guidelines we have to solve the…

Q: In estimating cos(4x) dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

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Q: -2 -3 6 7 14 17 - 18 46 110

A: The given matrix is -2-3-186746141710

Q: it agrees with the (i, j) entry of the right side. First we make things clear by specifying that A…

A: As per guidelines, I can prove only first question (Question number 11.5.2)