The set of functions {sin nx}, n = 1, 2, 3, ... , is %3D orthogonal on the interval [ -n, n]. Show that the set is not complete.

Q: Fred bought a soft drink for 3 dollars and 6 candy bars. He spent a total of 21 dollars. How much di...

A: It is given that the price of a soft drink is 3 dollars and Fred spent a total of 21 dollars. We hav...

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x) d...

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Q: Use Bisection method to find a real root of x-2 in the interval (1.2). What is the approximated valu...

A:   We know that,  Bisection method Steps Step-1: Find points a and b such that a<b and f(a)...

Q: Find the inverse s of -6854 modulo 979 (note that 0 ss< 979). Justify the existence of the inverse b...

A: find the inverse of -6854 modulo 979 using euclidean algorithm 6854=7×979+1⇒6854×1=7×979+1⇒6854×1-1=...

Q: In how many ways can the first 5 consonants be paired with the vowels of the English alphabet?

A: There are 5 vowels in English alphabets. So 1 consonant can be paired with 5 vowels in 5 ways. Simil...

Q: 3. Let A = P({1,2}), B = P({2,3}), and C = P(Ø) where P(S) is the power set of S. Find the result of...

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Q: 15 P5 X 1O! can be written as: 10! 15! x 5! O 10! x 10! O15! 15! x 5! caer

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Q: Evaluate: (7i) (5i) Select the correct response: -35 -35 + i i 35

A: Solution

Q: (а) Two digits are to be chosen at random, one after the other, from ten digits, without repetition,...

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Q: 4. How many numbers can you form by arranging the numbers 5,6, 7, 8, 9 ,3 ,1, 4, 2? a. 90,410 c. 362...

A: As per our guidelines I solved first three subparts.

Q: pose a soccer team has a record of 10 wins, ys can this record occur? 101

A: Introduction: A permutation is a specific configuration of objects. Here, set members or elements ar...

Q: 2.4. If a7 on [a, b], prove that we have а) f da = f da + f dz, (a < c < b), b) f + g) da < | f da +...

A: We will use the basic knowledge of Riemann sums and the theory of integration of real-valued functio...

Q: Given that cos A = 3s. Find the tangent of A. Select one: O a. (1- 9s² )^( ½ )/3s O b. (1- 9s² )^( ½...

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Q: Both inaccuracy and imprecision contribute to the increase in error in the numerical calculation. Tr...

A: To find the given statement is true or false.  

Q: a (b) B = 2a -d 2b-e 2c - ,C = f do f(a, b, c, d, e, f #0), d e

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Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

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Q: 5. Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 2 1 1 1 (a) A= 1 0. 3 1...

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Q: The first Birds appeared on Earth about 208 000 000 years ago. Write this number in scientific notat...

A: The given number is: 208000000 There are eight digits after the first digits. Write this number in s...

Q: The False-Position method of finding roots of nonlinear equations falls under the category of a (an)...

A: We have to find the correct option from the given options.

Q: find all x EIR such that 1z +zl + lz - loog | = (2+ 2015)

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Q: What is the real number of z= -1 +2i ? Select the correct response: O Re (z)=1 O Re (z) = -1 O Re (z...

A: A complex number is a number of the form a+ib. It contains two parts, the real part and the imaginar...

Q: WORK SPACE: The Jackson Middle School model rocket club drew the model rocket 7 design below. The ro...

A: The formula to calculate the volume of cylinder is given as follows: Volume of cylinder=πr2h

Q: 6. т + 2n 4 2m + 4n = -8 No solution (parallel lines)

A: Linear equations

Q: 1. By the method of least squares, find the straight line that best fits the following data: I| 2 3 ...

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Q: Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all re...

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Q: What is the coefficient of x° in the expansion of (x + 1)14 + x² (x – 1)13?

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Q: WRITTEN WORKS #3 PROBLEM SOLVING INVOLVING PERMUTATIONS AND COMBINATIONS Encircle the letter of the ...

A: Permutations and combinations

Q: Find an equation of the plane. The plane through the point (4, 0, 2) and perpendicular to the line x...

A: To find- Find an equation of the plane. The plane through the point 4, 0, 2 and perpendicular to the...

Q: , for x 1 Dicours the contuniuty of f and f'

A: Introduction: If there is no break in the graph of a real-valued function over an interval, the func...

Q: Mean Value Theorem

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Q: How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels alw...

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Q: Proposition or not a proposition? Math is easy. If a = 2, then a + 4 > 5. %3D 7 < 3

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Q: 1. Let U24 = {z E C|224 = 1}. Define £24 = cos () + i sin (5). (a) List all subgroups of U24 and dra...

A: The complete solutions are given below  

Q: Show that the function f(z) = sin x cosh y + i cos x sinh y is continuous as well as analytic every ...

A: The given function is: f(z)=sinxcoshy+icosxsinhy

Q: 9. Find all real values of c such that the vectors and are linearly independent.

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Q: Houston, TX and New Orleans, LA are 348 miles apart. On a map, these two cities are 2.3 centimeters ...

A: The distance between Houston and Orleans are 348 miles which is represented as 2.3 centimeters on th...

Q: Q16: Is the differential equation (cos x+ In y) dx + dy 0 exact? %3D

A: Let us consider the given equation Mdx+Ndy=0 The equation is said to be exact if ∂M∂y=∂N∂x The solut...

Q: 2. Let r > 1. Prove that lim r" = 00,

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Q: 2. A researcher studies the growth of a fruit fly population. The researcher counts the number of fr...

A: Given A researcher studies the growth of a fruit  fly population. the researcher counts the number o...

Q: How many 6 digit numbers are divisible by 5? Assume repetition is allowed. 12000 180000 60000 200000

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Q: 1. What is the order of the shape number for the figure shown? Please Obtain the shape number.

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Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal...

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1 ...

Q: 4. Prove that 13 1 13 1 < cos(1) 24 - 1440' 24 where 1 is in radians. 720

A: Solution

Q: 2. How many ways can a president and vice-president be selected in a class of five students? а. 20 С...

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Q: Let A = {#, 7, x} and let R be the relation on A given by R = {(7, 7), (#, #)}

A: R is  said to be reflexive relation on A if for all x in A, xRx holds.  R is said to be symmetric re...

Q: such that ab = 1 b) : In Z3XU3, Find the order of (1, 2). Show your work.

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Q: woshes, five different fit styles, and thr different height options. If two of the options are out o...

A: Introduction: A permutation is a specific arrangement of objects. Set members or elements are arrang...

Q: 2. Using Lagrange interpolation, calculate the profit in the year 2000 from the following data. Year...

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Q: How many 5 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if no repetition is allowe...

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Q: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 – 3x...

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