Partial Order Relations Let A = Z Let R be defined on A x A where a Ry if x

Q: Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p and...

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Q: 5) prove that = sin 'x +e using method of trigonometric substitution.

A: To Prove- Prove that ∫dx1 - x2 = sin-1x + c using method of trigonometric substitution.

Q: 11. Prove each identity. h) csc 2x + cot 2x = cot x 2 tan x i) 1 + tan´ x sin 2x 2 CSc t j) sec 2t =...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three subp...

Q: a 4a and |.

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Q: Use the Squeeze Theorem to evaluate the limit lim f(x), if 2x 1< f(r) < 2 on [-1, 3].

A: Squeeeze Theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a. If limx→agx=L...

Q: Solve the differential equation y' = x(y – 3) with initial condition y(0) = 1.

A: Solution :-

Q: = {1,2,...,100} then H is equal-- {1,2,3,...,1

A: We are entitled to solve one question at a time , please resubmit the other question if you wish to ...

Q: please be super detailed in the explanation!! For the shaded area shown in the figure, determine the...

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Q: 1 Exercise 1 Ve consider the differential equations (t) = cos(t) /(t) = cos(y(t)) (1) (2) 1. We firs...

A: We will use the basic knowledge of ordinary differential equations to answer this question. Note tha...

Q: Solve for x: 1. x:3 = 8:12 2. 2:x = 10:25 3. 3:4 = 6:x 4. 3:5 = x:25 5. (x+2):4 = 15:20

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Q: a-) I = c6 Vx²-9 dx 3 b-) S x In(x² + 1) dx

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

Q: small boxes contain dvds and large boxes contain one gaming machine.three boxes of gaming machines a...

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Q: f (t) -2n 2n 3n f(t) is a periodic function and express f(t) in the form f(t) = ao + E=1( a,cos (nwo...

A: Given: Graph of periodic function f(t) To express: f(t) in the form of f(t)=a0+∑n=1∞ancosnω0t+bnsin...

Q: on of the differentia

A: Introduction: When in a homogeneous second order differential equation, roots are complex and distin...

Q: Use partial derivatives to obtain the formula for the best least-squares fit to the data points. (1,...

A: Solution 

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A: Given- You are thinking of making your home more energy efficient by replacing some of the light bul...

Q: tan-1(z3)

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Q: Solve the following D.E dy 3 x sin x +2y = tan dx 2

A: The given differential equation issinxdydx+2y=tan3x2⇒sinxdy=tan3x2-2ydx             .........(1)Let ...

Q: Both first partial derivatives of the function f(x.y) are zero at the given points. Use the second-d...

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Q: Write the equation for the polynomial function of lowest possible degree for the given graph 3. -2

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Q: s - 9 25 – 500s6 s2 + 64 s7

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Q: Bonita obtained 22/30 for a Geography test and 18/25 for a history test In which subjects did she ob...

A: Marks obtained in Geography is 2230 marks obtained in history is 1825 we need to compare two fractio...

Q: 5) Let Re(z) and Im(z) denote respectively the real parts of z, show that:- a) z+2 = 2 Re b) z-z = 2...

A: Introduction: Complex numbers are those that are expressed as a+ib, where a,b are real numbers and I...

Q: Find the Directional Derivabive of Pary,2)= x-yz'+ at the point CI, -2, 0) in the direcbion of vecto...

A: A scalar function is a rule to associate a number to a particular point in space. The directional de...

Q: In(In z1) O -0.5198 - 0.7636i O 1.4979 - 0.4636i O 1.5680 - 0.8205i 0.4498 - 0.3002i O O O

A: Let z=x+iy be a complex number. The polar form of the complex number is z=reiθ, where r=x2+y2 and θ=...

Q: x + 6|, if x - 1 x² – 3x

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Q: logz, Z3

A: This is a problem of complex analysis.

Q: II. Consider the transportation problem having the following parameter table: Destination 3 2 6 Supp...

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Q: Determine (with proof) if there exist integers m and x such that 2003m 2 = 2x(x – 20). - If they exi...

A: A problem based on quadratic residues. 

Q: The random variables X and Y are independent with E(X) = 10, E(Y) = 3, Var(X)= 7 and Var(Y) = 5, cal...

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Q: Using the x coordinates, -2, -1.5, 0, 3, 3.5, 4, find the interpolating polynomial that fits the fun...

A: Creating table x y = sin(x) -2 -0.9092 -1.5 -0.9975 0 0 3 0.1411 3.5 -0.3508 4 -0.756...

Q: b) Find the area under the curve given by g(x) = x? + 4x between x= 6 and x = 9.

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Q: 11) Evaluate [[sin (y') dA , R: the region bounded by y =- Vx, y=2 & x=0

A: To find- Evaluate ∬Rsiny3 dA, R: the region bounded by y = x, y = 2 &amp; x = 0. 

Q: 2. ナ

A: Introduction: Like a sequence, an infinite series can be convergent or divergent. If an infinite ser...

Q: Pro ve 8さt(.)る %3D (Srh)(らtM ー7 \et: ヒこe

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Q: 1. s) Find the reduced row echelon form of the matrix A and a nonzero homogeneous solution for each ...

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Q: 4. Show that the sequence {fn}, where nx fn(x)=- xER 1+n°x' is point-wise convergent but is not unif...

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Q: Find the Fourier Series of the function f(x) f (x) = (1 - t/2 -2 <t < 0 (1+t/2 0 <t<2

A: The given problem is to find the Fourier series expansion of the given periodic function with given ...

Q: ∫((3x-4)/((x-1)^2)) dx

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Q: A laptop has a listed price of $642.98 before tax. If the sales tax rate is 7.25%, find the total co...

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Q: 1. African Penguins are about % the height of Emperor Penguins. If Emperor Penguins are about 36 inc...

A: Here we suppose to do multiply 2/3 with height of emperor penguins

Q: 1. Let (e1, ... , en) be a basis for a vector space V. Show that (ei + en, e2 + en, ... , en-1 + en,...

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Q: The first term in an arithmetic sequence is -27 and the common difference is 3.6, find the 13th and ...

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Q: Number of Car Buyers Content O Do Homework - Chapter 12.4 P Do Homework Chapter 12.4 A mylab.pearson...

A: Statistics is a branch of mathematics that gives us the tools to deal with large quantities of data ...

Q: Exercises Find the center and radius of each circle. 1. x2+ y? = 25 2. (x- 1)2+ (y + 1)2 = 49 3. (x+...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: . Show that if S is a subbasis for topologies T1 and T2 on a space X, then T1 = T2.

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Q: Marianne left the house with a jug containing 4 liters of water. She drank 4 of the water in school,...

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Q: b x, t(3lxg 19メーのメれニ – |l Xp t 22 Kg t 20 Xg t 12 Xq = Il X, - | Ka a19 xg - 93 X4 ^= 163 319 630 61...

A: From given system of equations, we have A = 1031-19-91-1122201211-21-19-9330-16-1915         X = x1x...

Q: 1. Let U24 = {z E C|224 = 1}. Define §24 = cos () + i sin (). %3D (a) List all subgroups of U24 and ...

A: The given question is related with group theory. Given that ,          U24 = z∈ℂ | z24 = 1 and ξ24 =...

Q: A biologist is researching a newly discovered species of bacteria. At time t=0, he puts 250 bacteria...

A: The equation that represents the population growth of the bacteria is given by y=aekt, where a is th...