Write down two things around you that shows more than three types of symmetry (rotational, translational, reflection/reflective, glide symmetry, tessellations). List and explain all the symmetries and patterns that can be seen in each picture.

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Investigate the relationship between integers and prime numbers. How are prime factorization and the…

A: The set of integers is defined by.The set of prime numbers is defined by.Therefore, the set of…

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A: We have to solve the indicial equation

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Q: CASE STUDY 4.2 Linear Programming Simplex Method BSA Furniture Shop manufactures tables and chairs.…

A: Chair Table Work hour availableDepartment 1Depart ment 2Profit (Php)Note: According to the…

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Q: e that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the…

A: Given that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above…

Q: consider z=i e-¹/4 (note the “i” out front: this is NOT yet in the “standard polar form") a) Rewrite…

A: Given

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Q: Determine the system of linear inequalities satisfying the feasible region R in the following…

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Q: Suppose ₁, 2 are vectors in R². Is to inatifu your cor [8] in Span({₁, ₂})? Explain your reasoning…

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Q: In the peer review, you were asked to come up with an explicit formula for f(K). That is, how many…

A: Given information:The function represents the number of edges required to remove from the complete…

Q: Given a 4 x 3 matrix A = 7 1 1 5 2 0 -2 3 1 2 3 -4 and the vector b = 1 H " 3 -2 calculate Ab (a) as…

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Q: 1 0 / x4 + 5x² + 4) ² Solve using residues. dx Poh

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Q: Show that for every positive integer n, 5 divides 6″ – 1. Show that for every positive integer n, n³…

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Q: If X=4.715, find 3-digit rounding and chopping for X, then find the relatives error for both?

A: The given number is X=4.715Which has 3 digits after decimal.So, the 3-digit rounding off for X is…

Q: The Lotka-Volterra system of equations for variables x(t) and y(t) is given here, with all constants…

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Q: 30. Let A=(-3,2) angled triangle. B = (1,0), and C=(4,6). Prove that AABC is a right- >

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Q: We wish to find the volume of the torus (doughnut) formed by revolving the circle (x-9)² + y² = 36…

A: Graph of (x−9)2+y2=36Graph of solid:

Q: Use Newton iteration to find: √91, start with xo 10 Xn+1 A Xn+ ( = `xn' 2

A: Let us assume that we need to find the square root of n∈N.Consider,x=nx2=nx2−n=0Assume f(x)=x2−n.…

Q: Seventy-nine percent of the light aircraft that disappear while in flight in a certain country are…

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Q: Which of the following set operations are represented by the shaded area in the Venn Diagram below?…

A: To solve this  problem, let take  two sets  and   in Venn diagramm.Let  us  draw the  Venn diagram…

Q: (a). Show that (0, 1) × (0, 1) and (0, 1) have the same cardinality. (Hint: shuffling two digit…

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Q: Needs Complete solution with 100% accuracy.

A: Given that

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Q: Show that if the speed of a particle traveling along a curve represented by a vector-valued function…

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Q: (a) Let u and v be two vectors in R³ such that ||u|| = 4 and ||v|| possible values of u v and ||u –…

A: a) use the fact…

Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use the shell method to find the volume of…

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Q: Data for the synthesis of furfural from biomass made of pineapple peels, bagasse and pili shells: t₁…

A: Given that:the synthesis of furfural from biomass made of pineapple peels, bagasse and pili…

Q: Find the trigonometric Fourier series for the function f(x): [-T/2, π/2] → R given by the…

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Q: g(t) = 71-7 if 0 < t <3 -1 if 3 <t<6.

A: Here we find the solution for each portion  and individually then adjust the integral constant such…

Q: is it a binary option? is it associative? identity element= inverse elements=

A: 7. Given that and define a binary operation on S by                                           To…

Q: Use Newton method to find a root in each of the following functions: f(xn) f'(xn) (1) f(x) = tan x -…

A: We are given the function ,  Our aim is to find the root of given function using Newton Raphson…

Q: For X = (x₁,...,xn), Y = (y₁, ..., Yn) € Rn, define n d(X,Y) := Σ |xi - vi| i=1 (a). Show that d is…

A: Given that, are two vectors.The defined function is: To check the d is matrix space on , have to…

Q: Let set P = {a, b, (b), ({{a), 3}}. Which one of the following is NOT a valid relation on P? Select…

A: R is said to be relation over P iff R is a subset of P×P.

Q: transcendental numbers and their significance in mathematics. Provide examples of famous…

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Q: Exercise 1 Sketch the plane curve over the given interval r(t) = 3t i − t j with 0 ≤ t ≤ 1.

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Q: What is the regular expression for L = { vwv : v,w € {a,b}*, |v|=2} |

A: The language L defined asL = {vwv : v, w in {a, b}* , |v| = 2} consists of strings where:"v" is a…

Q: Let D be an integral domain with unity 1. Two non - zero elements a, b E D are associates if and…

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Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

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Q: Is the given set of vectors a vector space? Give reasons. If your answer is yes, determine the…

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Q: Provide an example of a mathematical problem or scenario where bounded summation is used to find an…

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Q: Let F2(t) denote the field of rational functions in t over F2. (a) Prove that F2(t)/F₂(t) is not…

A: Given Information: denote the field of rational functions in  over .To show:a)  is not Galois.b)  is…

Q: How many significant digits is 0.02? 03 04 02 "01

A: The given number is .The aim is to find the number of significant digits of the number.

Q: f(x)=2x² +7 Find the difference quotient. Simplify as much as possible. Use the formula: f(x+h)-f(x)…

A: The given function .The aim is to find the difference quotient.

Q: Prove or disprove: for B C Y and ƒ : X → Y, ƒ˜¹(Y\B) = X\ƒ−¹(B).

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Q: 12. x²y" - xy' + 2y =0; y1 = x cos(lnx), y2 = x sin(lnx)

A: The differential equation is as follows:..To Find:Verify that  are the solution of the given…

Q: Discuss the concept of Taylor series and its connection to bounded summation. How can Taylor series…

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Q: (a) Prove that differentiation switches even functions to odd ones, and odd functions to even ones.

A: Answer :First prove :Suppose f is oddthis means f(-x)=-f(x) for all xnow differentiating then we…

Q: 18.28 The following data defines the sea-level concentration of dissolved oxygen for fresh water as…

A: (a) Find the Newton's forward difference table from the table of values.