Prove that if sum of two numbers is irrational then at least one of them is irrational. Use indirect proof.

Q: Is the set of numbers described below a group under the given operation? Prime numbers; multiplicati...

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Q: Fill in the blank with the appropriate word. When a binary operation is performed on two elements in...

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A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers...

Q: Q4. Let A = the 2 x 2 identity matrix. (a) Show that the characteristic equation of A is 1² – 21 +1 ...

A: Since you have asked multiple sub-parts, we can solve first three sub-parts for you. If you want oth...

Q: 8. Evaluate in polar form: 42+3L % 6.

A: Please find attachment for the details solution

Q: 1 For all integers n21:+ 1.2 2-3 3. n(n +1) n+1

A: Calculate the left hand side of the given equation. 11·2=12 Calculate the right hand side of the g...

Q: 1 2 4 Let A be a 3×3 matrix A = 0 0 3 then the determinant of the 0 0 -1 matrix A17 + A10 – I is

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Q: f: (4+3i)² – 9e²75 + 70(cos 180 + isin180) + A = { 10<36 7cis65 ¿3699 |3D į767 + ei79 – ¿90 + (8 + 1...

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Q: Is the set of numbers described below a group under the given operation? Natural numbers; subtractio...

A: We have to see if the set of Natural numbers is group under Subtraction ?

Q: Find all angles, 0° <0< 360°, that satisfy the equation below, to the nearest 1oth of a degree. 5 si...

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Q: Use the method for solving homogeneous equations to solve the following differential equation (20y-x...

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Q: A particular solution of 4x dy dx? dy +8.x- +y = dx 4 is 1 A) B) log x Vi log x C) 2 (log x) D)

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Q: If the profit function for a firm is given by P(x) = −1600 + 170x − x2 and limitations on space req...

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Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

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Q: 1. draw a simple graph with 2 vertices  2. draw a simple disconnected graph with 3 vertices 3. dra...

A: To find-  Draw a simple graph with 2 vertices. Draw a simple disconnected graph with 3 vertices. Dr...

Q: Express the given linear mapping w = f(z) as a composition of a rotation R(z), magnification M(z), a...

A: Solution

Q: Consider the sequence {fn(x)}, where sin(nx) fn(x) = 1+ nx Use the uniform norm to show that the seq...

A: Given: fn(x)=sinnx1+nx To show: fn(x) is uniformly converge on [1, ∞).

Q: In a room of 470 people, 40% of them were born in November.  How many people in the room have a Nove...

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Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First...

A: To find- Use the improved Euler's method to obtain a four-decimal approximation of the indicated val...

Q: Using Fixed-Point Iteration with an initial value of nine, find a value of x that will make the foll...

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Q: -2 + 2i -6 – 10i By performing the operation we obtain the complex number x + yi, where the value of...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Find 2(A)+3B-2C :). 1 4 -2 1 A = B = 2 -4 -2 1 C = %3D %3D %3D 1 -1 1 2 1

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Q: A path C is defined by the parametric equations (t) = t, y(t) = t°, 0<t<1, and a vector field is def...

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Q: 'sinx d(sinx + cosx) 0.

A: We have to find the value of given integral.

Q: Find all (p, q, r) such that ((p + -4) evaluates to 1.

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Q: If u = 3x x + 3xy? is a real part of an analytic function f(z) = u + iv, where z = x+ iy is a comple...

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Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? – y? + z? = 4 i) Identi...

A: According to Bartleby guidelines I need to solve only one question please excuse

Q: Consider the vectors u = (-5, -9, 3) and v = (1, -9, 3). Determine u x v. A) (0, 19, 54) B) (0, 18, ...

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Q: Determine whether the given function is a solution to the given differontial equation. d'y y - sin x...

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Q: Let, p = false statement q & r = true statement What is the value of [~(pOq)] |r? %3D

A: Please find attachment for the details solution 

Q: З^1 — 2л2 + 5аз — —17 2x1 + 4x2 – 3x3 = 29 5х1 — 6х2 — 7*3 — 7

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Q: Barney’s landlords are increasing his rent.  Last month he paid $545 for rent, but starting next mon...

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Q: Solve the IVP 3 d.x dx a(0) = 1, = 2. dt \t=0 dt2 dt

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: VidCon, a convention for fans, creators, executives, and brands for online video was founded in 2010...

A: Attendance in 2010 = 1400 people Attendance in 2017 = 31000 people Relative Increase = absolute incr...

Q: ( 3x?y + ev )dx + ( x³ + xe' – 2y)dy=0

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Q: What is Graph Theory? Can you give me an example og Graph Theory?(with solutions and answers)

A: Graph theory definition :  In mathematics, Graph theory is a subfield which deals with graphs.  Grap...

Q: 23. Consider the problem of finding the vector x of minimum norm satisfying (x|y) 2 6. -1, 2,...," w...

A: Solution :-

Q: ak + b) {{} = m – 1). k=0

A: Please cheek the details in the next step

Q: 3. Prove or disprove: there exist rational numbers a and b such that a/b is irrational.

A: Suppose there exist rational numbers a and b such that a/b is irrational.

Q: (4 + 6) •1 = 4 + 6 A) Closure Property B) Associative Property C Identity Property D Inverse Propert...

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Q: 1. Find the length of arc of the curve y = from the point where x = 0 to the point where x = 2.

A: The formula for arc length is ∫ab1+dydx2dx. Here a is the starting point and b is the endpoint. Comp...

Q: Problem 2. Let f(x) = g(x? + 1), where g'(2) = 3 and g"(2) = 5. Compute f"(1). Full solution is requ...

A: The given problem is to find the value of f"(1) with given function f(x)=g(x2+1) and functional deri...

Q: Is the set of numbers described below a group under the given operation? Whole numbers; addition ...

A: Introduction: A group is defined as a set that has a binary operation that allows any two elements t...

Q: After a long day at work, you come home to find that someone has come in and stolen several items in...

A: Given, height of door is 7 ft Let the height of thief is x feet. Since, the man standing 1.2 feet fr...

Q: 1.4.6 Let D: P2-1,1]P2[-1,1] be the differentiation map, and recall that P2(-1,1] is the vector spac...

A: Given- Let D : ℘2-1, 1 → ℘2-1, 1 be the differentiation map, and recall that ℘2-1, 1 is the vector s...

Q: If f e R[a, b], show using the properties of Riemann Integrability that there exists M > 0 such that...

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Q: Is the set of numbers described below a group under the given operation? Integers; addition Yes O No

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Q: Finance. A person wishes to have $24,400 cash for a new car 4 years from now. How much s ccount now,...

A: INTRODUCTION: The formula for compound interest is given by, A=P1+rnnt Where P is the principal amou...

Q: Q: Prove the trans ferm; formula's by definition of Lapia (Dirac Delta fauncden) %3D

A: A delta function is defined as δ(t-a)=0     for t≠a∞   for t=a      . The fundamental property of th...