Let P(n) be the following statement: (n + 1)! > 3¹ a. Determine whether P(n) is true or false for each of n=3 and n=4 b Use mathematical induction to show that P(n) is true for all n>

Q: Question The line y = mx +b meets the hyperbola xy = 1 at A and B. Find the locus of the midpoint M…

A: Line y = mx + b meets the hyperbola xy = 1 at point A and B.

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A: we need to diagonalize the given matrix 400 140 005

Q: The matrix A = -2 -5] Find an eigenvector for this eigenvalue. [8] has an eigenvalue A = -6. 1P

A: As per guidelines, we are supposed to answer only one question.

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Q: Use the exponential graph below to answer the following questions 10+ P 8 7 6. ·10-9-8-7 -8 -3 -4 -3…

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Q: (a) Find the remainder when x" -99 is divided by x² -1.

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A: From a survey of the length of daffodil stems, a botanist created  a histogram showing their size…

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Q: 2. Ifj | k. m21 = (3x +30) and m42 = (5x-18)". which statement is true? A. x = 21 because the given…

A: If j∥k, m∠1=3x+30° and m∠2=5x-18°, then to determine the correct statement.

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Q: Derive the Fourier transform of the following shifted rectangular pulse function: f(t) 1, -1≤t≤ 3 0,…

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Q: The function g(n) = n2 − 16n + 69 represents a parabola. Part A: Rewrite the function in vertex…

A: Given that the function g(n)=n2-16n+69 represents parabola:- Now, we need to rewrite function in…

Q: 12. Find a quadratic model for the set of values. a. X y Koy -3 6 -10 + -1 -2 08-6 + 40 8 8 40 10 8…

A: x -3 -1 0 1 3 y 6 -2 -3 -2 6

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Q: 5 Find the values of a and b such that the graph y=(ax-5)(x-b)² cuts the x-axis at x = - and touches…

A: To find the values of a and b such that the graph y=ax-5x-b2  cuts the x-axis at x=52 and touches…

Q: Write the domain and range of the function using interval notation. domain range X X -5 -4 -3 -2 y…

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Q: Question 4 What is the average of the following numbers? 2, 5, 8, 1 A) 4.5

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Q: If there are an infinte number of solutions to the system J-10x + 4y = h 3x + ky = 8 then k and h

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A: Let y =f(x) be the graph of the function , then y =af(x) is the graph which is vertically streched…

Q: what is the mean median and mode  5,7,7,3,3,    A) 5,5,3 B) 3,3,5 C) 3,5,3

A: NOTE: Refresh your page if you can't see any equations. . the given data are find the mean

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A: Given quadratic function is,  f(x)=x²+12x+36

Q: E. 14 C D Question 14/15 *Example x +1 x² 1x +2 app.edulastic.commodenesessier (2x - 3)² = Q#5…

A: to find2x-32

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A: The graph of fx and gx are given.

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Q: Math 116 Section 6.7 In Science and Mathematics, the base e is preferred. We can use laws of…

A: y=2.53.1x

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Q: In this You Pick, respond to the prompt below in a short answer or audio answe Suppose this cost…

A: C(x)=75000+150x Where C(x) is cost function for a given area x Aim: Calculate Area Function A(x)…

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Q: Find the LCM. 2q²-7q-30, 5q²-31q+6, q²-36 The LCM is (Type your answer in factored form.) K

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Q: If f is a continuous function satisfying B 2 0 9 f(x) = x + for all x > 0, then f'(4) = ? 1 (a) 4 1…

A: given function is f(x)=x+∫x49+t4dt ,   for all x>0

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A: We have,   Po = 29000   r = 8%

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A: Let total number of pages in book=x

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Q: Evaluate the expression. 11 A 8 OA. 1 OB. 82 OC. 990 OD. 165 CICERO

A: 118this is binomial expresion

Q: Part II: Writing & Solving Equations 1. Sofia paid a total of $365 for her accommodation in Bali,…

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Q: simplify see pic

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Q: . Which figure has the gr 9 cm A. B. 17 cm CAF 6 cm 15 cm 17 cm C

A: ( a ) Volume of cylinder = πr2h( b ) volume of cuboif = lbh( c ) Volume of cone = 13πr2h( d ) Volume…

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A: We have to determine the domain and horizontal asymptote

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Q: answer. 27. Show that if A is both diagonalizable and invertible, then so is A-¹. 20 OL

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Q: Find the sum of the infinite geometric series. 1+1/4+1/16+1/64+1/256+1/1024+1/4096

A: We know that the sum of the geometry series is  a/(1-r)

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A: Given a function f(x) , a new function g(x) =f(bx) , where , b is a constant, is a horizontal…

Q: Rearrange the formula to make v the subject. t = V = V-U a

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