Construct a function N--->N other than the usual successor function which satisfies Peano's Axioms. (the usual successor function being k+1)

Q: Which of the following mathematical statement corresponds to the statement: "If there exist a real n...

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Q: Problem I. Given z, = 3el(76) z2 = 2e(T/4), find: %3D

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Q: H M R E 4 A 12 F 2.

A: ∠HIM=∠HER=∠HAF=90°

Q: QUESTION 10 Show that G ={a +bv3: a,b EQ}is subgroup of R under addition.

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Q: 1. Choose a number and apply the following operations to it. Multiply the number by 15, and subtract...

A: As per Bartleby guidelines i can answer only one question, kindly upload rest questions seprately. T...

Q: C. Find the slope of the line through the given points. 4. (4b2+ a², a²), (6b2 + a?, 5a?) 5. (2a2-b2...

A: The slope of the line is the measure of its steepness. It is the same as the tanθ, where θ is the an...

Q: 3x2 -12 at 9x

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Q: Which among the choices is linear differential equations? dy · ycosx = sinx dx a. dx b. d*y dy dx = ...

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Q: Solve the given differential equations. a) y'''-4y''+4y'=0 b) y''-4y'+4y=4-e2x

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Q: What is the exponential form of the complex number 4+31? 36.87*i B 7e36,87 C 7e 53.13 D) Se $3.130/

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Q: 22 M 19 13 16 25 21 |17 23 14 18 N 20 24

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Q: QUESTION 5 Find all the elements of order 12 in Z48000 -

A: Number of elements of [m] in Zn is phi(m)

Q: 4. Graph the following system of equations on the coordinate plane. Then state the solution to the s...

A: Given a system of equations :                                         y + 2 = 2xy - 2x = 3 We have t...

Q: 3. Example of a unit set. A. {x| 3<x<5} B. {x| 2x = 4} C.{x|x is/are a month in a year that has/have...

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Q: Determine the square root of 155 by finding the numerical solution of the equation x^2 - 155 = 0. Us...

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Q: The integral of the given function sin²2x cos 7x dx is equal sin 7x sin 11x sin3x А. 14 + C 12 44 si...

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Q: g →(p A

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Q: Obtain general solution of the D.E. y' + (1/3)y = e%y4

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Q: Part 2: Solve the system using Gauss elimination. 3x, - 2x, + x3 + 2x, = -2 -X + 3x2 + 4x3 + 3x4 = 4...

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Q: 19. Prove that for each integer a, 3 divides (a + 23a). Hint: sing Theorem 3 0g and tehnia

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Q: Factor 14d - 6. Write your answer as a product with a whole number greater than 1. (D) Submit

A: To write as a product with a whole number greater than 1.

Q: for 0<<, Let f(a)- for 5SCR. ( Compute the Fourer cosine coeficients for f(e). dg 16 4/kp (-1k a sin...

A: Given f(x)=0for  0&lt;x&lt;58-xfor  5⩽x&lt;8 To find :- (a)Fourier cosine coefficient for f(x) (i)a...

Q: QUESTION 13 Let ma and n be integers. By mZ + nZ is meant {a + ba EmZ,bEnZ} of all the sums of an el...

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Q: 3. Geometric Objectives: In geometric programming, the objective function f : R" - R is of the form ...

A: We will use basic knowledge of convex theory to answer this question. 

Q: 3. Convert the decimal expansion of (231)10 to a binary expansion a) (1100111), b) (1110011)2 c) (11...

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Q: 2. f(x)= 2x³ – 7

A: Given function is f:ℝ→ℝ such that fx = 2x3 - 7

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential ...

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential equati...

Q: 9. What is the volume of the pyramid pictured below? 1,539 in3 6 in 1,026 in3 18 in. 648 in3 18 in. ...

A: To find- What is the volume of the pyramid pictured below?

Q: Solution of dy/dx + 2xy = y is A. y = ce" B y=ce**-x y = ce y=ce-

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Q: Compute the average rate of change of f over the intervals [5, 6] and [7, 8]. rate of change over [5...

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Q: Determine the general solution of xdy + ydx = 0. (A xy = c^x B) y =c (c) x = c D) xy = c

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Q: passes Syste 8.8 kips 12.7 kips 5.0' 3.5' 3.5' OB 3.5 kips

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Q: Prove that the sum of two symmetric positive definite matrices A and B is positive definite (A+B) me...

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Q: Operate (3 + 7i) + (8 + 11i). A) -8 - 3i B) 10 + 19i (c) -11 - 8i D) 11 + 18i

A: We have to operate  (3+7i) +(8+11i) 

Q: Using Laplace Transform, solve the following differential equation " -9y = ebt, y(0) = 0, y' (0) = –...

A: Here we have, y''-9y=e-5t    and     y(0)=0,  y'(0)=-2   Basic rules of Laplace are, L{ea·t}=1s-a,  ...

Q: Old McDonald has a farm with 30 chickens. The chickens comprise 60% of his farm, and the rest of his...

A: This is a problem of discrete math.

Q: 12x :- 2x+スメ t. 3x-18 xメ-5x-6

A: Given expression is 12x3x - 18 ÷ 2x2 + 2xx2 - 5x -6

Q: While shopping for a new outfit, Samantha finds six dresses she likes as well as four pairs of shoes...

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Q: 1. There are eight different ice-cream flavors in the ice-cream shop. (a) In how many ways can we ch...

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Q: If f(z) = eV8 2' then the simplify form of f(z) is: %3D A) f(z) = i e-2VZ %3D B) f(z) = -i e²vZ C) f...

A: given fz=e8-π2i simplify form of fz is? solution it is known that  eiθ=cosθ+isinθ thus e-π2i=cos-π2+...

Q: The integral of the given function | cos 2x cos(-x)dx is equal sin 3x + 3 sinx А. + C 6 sin 3x – 3 s...

A: Introduction: The indefinite integral is the way to find the function that on differentiation, produ...

Q: Question 14 Simplify 10 A) -1 B) -i c) 10 - 10i D undefined

A: The given problem is to evaluate and simplify the given complex expression. Given complex expression...

Q: Solve for the missing angle measurement.

A: Given,      

Q: Question 9 3y(x? - 1)dx + (x3 + 8y - 3x)dy = 0 when x = 0 and y = 1 A x (x² - 4) = 3(1 - y?) в) ху (...

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Q: Use a direct proof. Let "a", "b", and "c" be integers, where "a" is not equal to 0. “if a|b and b|c,...

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Q: Solve the following differential equations : dy Vi-y? dx = tan y dy Ans. x cos y = C Ans. sin- y = s...

A: In this question, the concept of a differential equation is applied. Differential Equation A differe...

Q: 1. Determine the Fourier series of the following 17 (1|5) fle) = lo d>5) a. 15 (-7sts7) o otherwise ...

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Q: Evaluate the following integrals. Ax 3 -1 x dx 1. sec

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Q: 5. Decide which of these integers is congruent to 13 modulo 17. a) 81 b) 18 c) -38 d) 83 e) -11

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Q: Derive the expression of cot-'(2). Find the principal branch of the multiple valued function log(2z ...

A: We will be solving Q.4 as mentioned. (a). Let cot-1z=w, therefore cotw=z. Now consider: z=cotw=cosws...