Use the generalized pigeonhole principal to explain why, among 100 people, at least 9 of them must have birthdays in the same month.

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Q: Find all possible isomorphism classes for abelian groups of order 108.

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Q: Evaluate the expressions. 36 (-3)6 b) (- 3)4 36 a) 34 (Type an integer or a fraction. Simplify your ...

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Q: Construct the group table for (Z,, + ,).

A: We have to construct the group table for (Z5,+5). Where Z5 is modulo 5 group of integers. So to con...

Q: Given=

A: Given,           f(x)=0                      if x<0x                      if 0≤x<1-x2+4x-2   i...

Q: Find the derivative of y with respect to x 3tan-1x + sin-1x = 4

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Q: Defemine e real roof of f (x) = - 26+85x-91x + 44x3 - 8x + x5 al Using bisection to determine the ro...

A: Solution 1 (a): Given function is f(x)=-26+85x-91x2+44x3-8x4+x5 Iteration 1: Here f(0.5)=-1.219<0...

Q: Defermine the real roof of Inx4 = 0.7 a) Using three iterations of the bisection method. Employ init...

A: There are several numerical methods used to solve transcendental equations. Such methods are bisecti...

Q: 2. Prove the following and make a sketch. a) Prove that every Eulerian graph of odd order has three ...

A: 1. Since G is connected, every vertex has positive degree. Since G has an Eulerian cycle, every vert...

Q: II. Write each expression as a product. 4.) cos 6x + cos 3x

A: Please find attachment for the details solution 

Q: Let n eN 1. Show that o (n²) = ng(n) 2. Show that o (n) +

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Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

A: Using cylindrical shells the formula for volume is ∫ab2πrhdx, here we are taking dx because we are r...

Q: reflect matrix 14 51 across x=-5

A: Please find attachment for the details solution

Q: Let'stry: Determine whether AB and CD have the same length. Justify your answer.

A: Let us consider the points A(x1,y1) and B(x2,y2) Then the  length of the line segment is obtained us...

Q: 1.- In the following problem, find the Riemann sum for the given function on the indicated interval....

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Q: Activity 4 Simplify the following expressions with rational exponents by filling in the boxes with s...

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Q: x = 2y- 2y2 X

A: In the given question, the volume using a cylindrical shell is applied.  

Q: Use zero- through third-order Taylor series expansions to predict f(3) for f (x) = 25x – 6x² + 7x – ...

A: To find the n-th order Taylor series of a function f(x) at the point x=c and the percent relative er...

Q: Gi/ A Vector field Ě is given by F= sinyi +x(I+ Cos y) j- Evaluet e the line integral S Fidr using G...

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Q: Q2 Find a basis for the null space of the following matrix 1 1] [1 0 -1 -3 1 3 1 li 2 3 2 2 4 -3 3 7...

A: We have to find the basis of the null space of the matrix A. For this, we have to find the row reduc...

Q: What is the additional condition for a cubic-spline S(x) that passes through n data points (x1, Y1),...

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Q: Find the domain and range for the function f(x, y, z) = 4 In(2+x +y+z) Select one: O a. D(f) = {(x, ...

A: Given function is fx,y,z=4ln2+x+y+z. We have to find the domain and range of the function fx,y,z. Do...

Q: Given the equation of the family of curves F(x,y) = c, its total differential is given by? option 1...

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Q: Find the equation of ellipse given the following parameters. Show your sc a) Center at the origin, o...

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: 6. Use the priority list TI, T2, TS, T7, T6, T3, T4 schedule the project below with two processors. ...

A: To obtain the solution, apply the following steps. Draw a digraph in which the vertices represent t...

Q: 4. x2 (In x - In у) dy 3D у (ylny— ylпx) dx

A: Solution

Q: 因.8 8 *- 288 ,因 = 40

A: Introduction: Multiplication is a mathematical operation that represents the fundamental concept of ...

Q: Po fo 22 PE 1(1234)=PP 13)29 pz pz (1432) = p3 p3 pir %3D 12)(34) = E to C13) = pE PE For each eleme...

A: The group D4 is the group of symmetries of square. Through various rotations, the set D4 is formed. ...

Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R³→R?, T(e, ) = (1,8), a...

A: The solution is given as  

Q: Use the generalized pigeon hole thereom to explain why amound 100 people, at least 9 of them have th...

A: We Use the generalized pigeon hole thereom to give the exploration.

Q: Q4. Given that T-1 0 30 -3 1 0 -1] A = (a) Find the eigenvalues and the corresponding eigenspaces of...

A: We have to find the eigenvalues and eigenvectors of the matrix A. Then we will check whether the mat...

Q: ne following second-order differential equa

A: Introduction: A differential equation is an equation that contains the derivative of an unknown func...

Q: QUESTION 5 Find the inverse of each element in (U (14), 14).

A: The set Un is the set of all integers greater than 1 that are coprime with n. The number of elements...

Q: The function f(x) = x^3 + 2xy^2 - (y^4)/x is homogeneous of what degree?

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Q: п(п + 1) Show that , k 2 k=1

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Q: MIDPOINT - THE POINT THAT DIVIDES A SEGMENT MIDPOINT FORMULA • B(x2.y2) The midpoint M of AB with en...

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Q: The graph below shows the scale used in a drawing. 5. Drawing Measurements (in.) What does the slope...

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Q: 2. Deduce from 1 that V x Z2 is a group where V = {e, a, b, c} is the Klein-4 group. (a) Give its Ca...

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Q: Perform the indicated operation. Express the answer in decimal notation. 20.8 x 106 8x 104 .. 20.8 x...

A: In the given question, a rule of the exponent is applied. xaxb=xa-b  

Q: Find the integrating factor of a non-exact differential equation 6xy dx + (4y + 9x²) dy = 0.

A: As per the policy of bartleby, the provisions is to solve only one question at a time. So I am solvi...

Q: x2+2? 1. What is an antiderivative of ? x2+1 a. x+ arctan x-5 с. 2х + 3 b. x+ arccot x d. x + 2arcta...

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Q: The tank in the form of a right-circular cone of radius 11 feet and height 15 feet standing on its e...

A: Given: Let us consider the right-circular cone, Radius=11 feet Height=15 feet and circular hole of r...

Q: -1 3 1 2 -3 -3 4 3

A: Solution

Q: Q2-10 A ssume that a 2x2 matrix A has eigenvalues =2 and -1 with the following corresponding eigenve...

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Q: Let phi be a homomorphism from Z/30Z to Z/5Z with phi(6) = 2. Determine the image of phi.

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Q: Circulation time is the average amount of time it takes for all the blood in the body to circulate o...

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Q: PROBLEM #2: Let f : R" → R with dom(f) = R" be a convex function and be bounded above on R". Show th...

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Q: 5. The triangle with vertices at (2, 3), (4,6) and (5, 10) is transformed by the matrix T where T= G...

A: It is given that the vertices of the triangle are 2, 3, 4, 6 and 5, 10. First we have to sketch the ...

Q: 5dx If 1= 2 , what is the value of b? 4 V8x a.) 2 b.) 4 c.) 8 d.) 9

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Q: Complete each of these polynofflldl (1) p+3 p- 2 2p 1 (2) 2p + 4 Зр + 1 Зр - 1 (3) 3 2p + 1 2p-4

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