Prove that n!+1 and (n+1)!+1 integer n. relatively prime for every positive

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Q: 5. Let vector A=-ä, +2r cos 0ä, +3ä,. (a) Express the vector à in rectangular coordinates. Express…

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Q: d) 5+ 7 = 10. e) x + 2 = 11. f) Answer this question.

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Q: 9. Suppose that during the most recent fiscal year, the an- nual revenue of Acme Computer was 138…

A: Given: Suppose that during the most recent fiscal year, the an nual revenue of Acme Computer was 138…

Q: Evaluate: 1-11-24 = - dx 1 + x 0 By the trapezoidal rule with h = 0.5, 0.25 and 0.125 respectively.

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Q: The following arguments are valid. Give a formal deduction for each. a. Premises: A → (BC), (C →…

A: What is Natural Deduction: Natural deduction is a type of proof calculus used in logic and proof…

Q: 2. Compute and x² - y² (x² + y²)2dX(y)dX(x) [0,1] [0,1] 0.1 - San Sas (2² +2²³)2 A(z) dx (1). [0,1]…

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Q: what does the average rate of change represent for a linear function and nonlinear function

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A: What is Lienar Function: A real valued function depending upon a single independent variable is…

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A: Sol:- Part e  Maximum rate of change of f(x,y) is the magnitude of the gradient at a point.

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Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: The path C is a line segment of length 13 in the plane starting at (2, 2). For f(x, y) = 5x + 12y,…

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Q: each x-value at which f is discontinuous and for each x-value, determine whether f is continuous…

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Q: 1. Rewrite the given first-order differential equation in normal form. Sketch the direction field…

A: What is Differential Equation: When an equation consists of one or more terms with derivative of a…

Q: DE 1. (1-x)y'-4xy +5y = cosx d'u du 2. at 3. d²u कर = d³x dx d²x +(4t-1)- +sin t - dt² dt dt3 4.…

A: To identify the type,order,degree, linearity if give differential equation.

Q: 2. Find the value of each variable a, b, c, d, e, and f using Cramer's rule. 2a-b+3c + 4d + 9e +8f a…

A: Consider the system of equations: a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3   Using Cramer's rule,…

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A: Mirroring in y means change the direction of x to -x

Q: Plot the portion of x² +2²=9 above the xy-plane and between y = 1 and y=5. Make sure you use the…

A: Any point on the three dimension can be represented by the coordinates: x, y, z.

Q: if p is an even integer, then p-5 is odd. prove using direct method. show your solution and proving.

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Q: Consider the sequence defined recursively by a1 = -1. 02-2, an+1=-8an-1-9an We can use matrix…

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Q: answer is wrong

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Q: Prove that for all a, b e R, the function f(x) = 3x - 4x³ + 6x² + ax + b has exactly one point where…

A: f'(x) is increasing  function. But f'(x)  is polynomial of degree 3. So it has exactly one real root…

Q: PLEASE DO THIS TYPEWRITTEN ONLY FOR UPVOTING AND SKIP THIS IF YOU ALREADY DID THIS. THANK YOU MONEY…

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Q: find the interpolation points and the control points for the Bézée curve:   X(t)=1+6t^2+2t^3…

A: Hint: consider   (x1,y1)   and     (x2,y2)   are interpolating points and    (x3,y3)   and…

Q: 11. Let D be the solid inside the cone z = √²+ y², inside the sphere x² + y² +2²=9 and above the…

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Q: 1) FIND THE MAGNITUDE OF THE VECTOR = (7,14,1) 2) USING THE CONCECTS OF VECTOR ALGEBRA, FIND THE DOT…

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Q: 20. The slope field shown below is for the differential equation ހހހހހ O y' = 2x O y=4-2x O y'=y…

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Q: 1. Integrate the following linear first-order partial differential equation х ди у ди ди м дх L dy…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: We first find the set of all the possiblity pf paths between C and D. Then we see the cardinality of…

Q: Let x1(t), x2(t), . . .  , xn (t) be vector functions whose ith components (for some fixed i )…

A: Given that x1(t), x2(t), . . ., xn(t) be vector functions whose ith components ( for some fixed i)…

Q: Compute the surface integral over the given oriented surface: F = y²i+6jxk, portion of the plane x +…

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Q: 2. f(18)-22, f(19) 35, f(20)=60 Prepare an overdetermined system and then solve using Least Square…

A: Hint: a general form of the  overdetermined linear system is…

Q: rate=4.5% 103. principal $1500, compounded daily, 1 year, annual rate - 6% 1 year, annual 104.…

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Q: Use the simplex method to solve the following linear programme. maximise 7x1 + 8x2 - 2x3. subject to…

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Q: Prove that |z₁+z₂²2 = |z₁|² + 12₂², if z₁/z₂ is purely imaginary.

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Q: The data given below is for 304 randomly selected 10-minute intervals, where the number of people…

A: The explanation is as follows