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Q: Number 14

A: The Abu Kamil’s formula is given by,

Q: Let H and K be subgroups of a group G and assume |G : H| < +co. Show that |K Kn H G H\

A: Let G be a group and let H and k be two subgroup of G.Assume (G: H) is finite.  

Q: (h, k) E H x K. What is the order Let H and K be finite groups and let G = H x K. Let g of g?

A: To calculate the order of the element (h,k) in the direct product of groups

Q: In Exercises 15-19 find the general solution. 15. y3y +2y e3x(1 + x)

A: To find a (any) function y=y(x) satisfying the given non-homogeneous equation

Q: In Exercises 1-14 find a particular solution. -3х (35 — 8х) у" — бу' + 5у %3 е-

A: Obtain the particular solution as follows:

Q: 8

A: To decide if the first group (the direct sum) is isomorpbic to Z27,

Q: Use the Chain Rule to find the indicated partial derivatives. u = (r2+s2)1/2   r = y + x cos(t),...

A: Given that the function

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the ma...

A: From the given information,The weight W = 24 pounds and gravity g = 32 ft / s2.The spring stretches ...

Q: Student Loans: A college student has two student loans totaling $12,000. One of the loans is at 6.5%...

A: Here using simple interest formula:

Q: An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of t...

A: According to the given information the augmented matrix for a system of linear equation is:

Q: Find the periodic payment R required to amortize a loan of P dollars over t years with interest char...

A: From the given information it is needed to calculate the periodic payment to amortize a loan.The giv...

Q: A fair coin and 4 weighted coins with Pr[H]=3/4 are in a bag. One is selected at random and then fli...

A: Given that,Probability of fair coin=1/5                    P[fair coin]=0.2Probability of biased coi...

Q: Assume that you have 8 red balls and 10 blue balls from which randomly to select two without replace...

A: According to the given information:Number of red balls=8Number of blue balls=10Total balls=18Number ...

Q: Hi I have attached the question. Thanks

A: To prove that the complex number z is real under the given conditions

Q: Prove a formula from the red circle problem to get the blue money circle formula

A: To prove the required formulae for sin  and cos (involving exponentials)

Q: Let {v1, . . . , vn} be a spanning set for the vector space V, and let v be any other vector in V. S...

A:

Q: Consider the following Hermitian matrix 1 i 3 i find the eigenvalues a) find the eigenvectors b) sho...

A: To find the eigenvalues, eigenvectors and establish the required orthogonallity

Q: Find the vertices and locate the foci for the hyperbola whose equation is given. 64x2 - 49y2 = 3,136

A: To identify the vertices and the foci of the given hyperbola

Q: Prove the following:For any natural number n, if n 2 + 6 n is an even number, then n is an even numb...

A: To prve that n is an even integer under the given conditions

Q: i need the formulas for the excel sheet

A: This is an exercise for converting currencies using Excel

Q: In Exercises 1-6 use variation of parameters to find a particular solution. y"4ysin 2x sec2 2x 2.

A: Result used:

Q: 4

A: From the given information it is needed to calculate the initial value problem using power series fo...

Q: History of math question dealing with projective geometry need help on please

A: To identify the lines corresponding to the two points at infinity of the given hyperpola

Q: Prove the following:For every natural number n≥1, 1+4+7+⋯+(3n−2)=n(3n−1)2.

A: To prove the identity involving the sum to n terms of the given series

Q: Let Σ be a set of well formed formulas and α, β be well formed formulas. Show thatΣ ∪ {α} |= β if an...

A: If Σ⊨(α→β), and (Σ∪{α}) holds, then both Σ and α hold (a set is only true if every member of the set...

Q: The following problem refers to a closed Leontief model Suppose the technology matrix for a closed m...

A: The technological equation for a closed Leontief model is given as follows.

Q: Let G and H be groups, and let 0 : G -» H be a {x E G 0(x) = e} is called the kernel of 0 and is den...

A: From the given information:Let G and H be the groups

Q: choose the correct option  a) 1.22474487 b) 235.711394 c) 85.4107722 d) 3.3374974

A: Known result:The least-squares solutions of Ax = b are the solutions of the equation

Q: linear algebra

A: To show every 2 by 2 matrix is a linear comination of the 4 gicen matrices. Also , to determine four...

Q: 20

A:

Q: Advanced Math Question

A: There are 5 functions given s(t) = t3, z(x) = 3x, m(x) = 12x6, f(x) = 3x + 1, g(x) = x2 Create the b...

Q: Find the Wronskian of a given set {yı, y2} of solutions of 6. y"3(x21)y- 2y 0, given that W(T) = 0.

A: Given the differential equation and the value of the wronskian at pi as:

Q: Use the simplex method to solve the linear programming problem z=2x4 +7x2 subject to: 5x, X2 60 7x1+...

A: Given:

Q: Assume that the box contains 10 balls: 5 red, 2 green, and 3 blue. Two balls are drawn at random, on...

A: The probability that first was blue and given that second was red is,Subscripts 1 and 2 represent fi...

Q: If C ={}    is {} an element of c

A: The problem concerns understanding the definition of the empty set

Q: S= {A,D} and T={B,C,E} for the network in exercise #8 Tell whether the given sets of S, T form a cut...

A: Given that S = {A, D} and T = {B,C,E} for the following network, which is a connected graph,

Q: #4

A: The problem concerns the relation between the concepts of linear independence, dependence and span o...

Q: #27

A: Given:

Q: 2

A:

Q: There 4 people to be chosen for a committee from 9 Democrats and 7 Republicans. Answer the following...

A: To calculate the conditional probabiliteis from the given data

Q: Prove that for an n×n matrix A, if A^2 is invertible, then A is invertible.

A: Since, if a matrix A is non-zero then A is invertible.

Q: In a survey conducted by a business-advisory firm of 4980 adults 18 years old and older in June 2009...

A: (a)The total number of adults or person in a survey conducted by a business-advisory firm is 4980.Th...

Q: Explain why the columns of an n×n matrix A span R^n when A is invertible.

A: Consider, a matrix A of order n, which is a invertible matrix.Since, the set of vectors

Q: Construct a truth table

A: Consider the given statement,

Q: A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, ...

A: According to the given information a company manufactures product A,B,C and each product is manufact...

Q: There are 24 Letters in the Greek Alphabet. How many faternity and sorority names can be formed if t...

A:  For 2 digits: There are 24 choices for each letter. A 2-letter fraternity name can be made if repea...

Q: Advanced Math Question

A: To classify the cards into functions (or not functions)

Q: A department store chain has up to $22,000 to spend on television advertising for a sale. All ads wi...

A: Let the number of ads on daytime, prime time late night is x , y , z respectively.Since the number o...

Q: Use a truth table to show the statements are equivalent

A: Consider the given statement, (~p ˅ q) ˄ r ↔ (~p ˄ r) ˅ (q ˄ r).Compute the truth table for LHS as f...

Q: P 30x1+40x2 Solve the linear programming problem using the simplex method Maximize subject to 2x1 +X...

A: Consider the given question,The solution of the linear programming problem by using the simplex meth...

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.