Six different books are to be places on a shelf, what is the number of arrangements if i) two books must be together. ii) two books must be separated from each other.

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

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

Q: Five Sales Executives have been told by their company Heavy Machines Limited (HML) that each sales…

A:

Q: A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 6…

A:

Q: The sum of any two rational numbers is rational work this poblem out with step and why.

A: Let A and B are two rational numbers such that A=pq, q≠0 and B=rs, s≠0 Find the value of A+B

Q: xy' =yelx-x

A: As per the question we are given the following first order exact differential equation : xy' =…

Q: Use technology to obtain approximate solutions graphically. All solutions should be accurate to one…

A:

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = n(A x A x A) {red}. Find the number indicated.

A:

Q: LINEAR ALGEBRA III Please help answer all questions below: i01 Let A 0 1 0 € M3x3(C). 10/ 1) Show…

A:

Q: 17 16 15 14 13 12 11 10 9 8 7 6 5 4

A:

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A:

Q: Internet Connections The following pie chart shows the relative frequency distribution resulting…

A: We have to find  the frequency distribution, that is, the total number of households with each type…

Q: Investments Compute the specified quantity. A corporate bond paying $3,000 after 30 weeks earns…

A: Using the simple interest formula,           A = P(1 + rt)           where, A = amount, P =…

Q: One hundred extremely intelligent male prisoners are imprisoned in solitary cells and on death row.…

A: Given: The given problem.   To determine: The least possible value of X.

Q: I want to fence in a square vegetable patch. The fencing for the east and west sides costs $6 per…

A: Given Cost of fencing in east and west = $6 per foot Cost of fencing in north and south = $4 per…

Q: Publishing The following table shows the results of a survey of 400 authors by a publishing company.…

A: Solution:-

Q: The function A = Age -0.00693x models the amount in pounds of a particular radioactive material…

A:

Q: 3) Evaluate, to the nearest hundredth, 11. (V x F) dS where F = and S = {(x, y, z)| 2² − 1 = 3x² +…

A: Here we will use Stokes theorem  According to stokes theorem  ∫∫S∇×F.dS=∫CF.dr C is the  boundary…

Q: 4. What is the Laplace transform of the given function f(t) = 2t² cos² (2t)? 2 F(S) =3 2 S3 A) F(S)…

A:

Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

A: we have to find the associated exponential decay or growth model. Exponential model of population…

Q: Math Questions Set Question 1: 3. (i) Express y as a function of x, given 3 log₂ (xy²) - 2 log₂…

A: Introduction: In mathematics, logarithmic function is very significant function. This function is…

Q: Offshore Crude Oil Production: Mexico The following table shows daily offshore crude oil production…

A:

Q: Your total payment on a 7 year loan, which charged 7.5% annual simple interest, amounted to $70,860.…

A: Solution: We know that simple interest formula for calculating principal(borrowed money) is, P =…

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform $7, 0st 0) <(((()) <{f(t)) = <(F(t)) ]de dt

A:

Q: Choose an appropriate linear differential operator that annihilates the function 1+6x-2x4

A:

Q: b\ If y = 1 + √√2 cscx + cotx is an equation of a function as in the figure find an equation for:…

A:

Q: final point of the path is (4,5,1) (4,5, 1) 10.00) 768 00 384 O416 HINT: APPLY: Fundamental theorem…

A:

Q: Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow…

A: The phase plane method refers to graphically determining the existence of limit cycles in the…

Q: ZA 30 A LB = LC= 33 26 B Submit Question Jump to Answer degrees degrees degrees

A:

Q: 1. (System of Linear Equation) choose on one of the method below. Show manual calculation. Solve the…

A: We will solve by gauss elimination method Consider  x1= a  x2 =b x3=c  x4=d Now we find a,b,c,d…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 5 health inspectors test two batches of vaccines of 30 doses…

A: We have 5 health inspectors. First batch has 30 doses and second batch has 30 doses. Each inspector…

Q: LINEAR ALGEBRA III Please help answer all questions below: i01 Let A 0 1 0 € M3x3(C). 10 i Find the…

A: For every real symmetric matrix A there exists an orthogonal matrix Q and a diagonal matrix dM such…

Q: Compute the simple interest INT for the specified length of time and the future value FV at the end…

A: Simple Interest I is calculated only on the principal(the amount borrowed) and is given by I = Prt…

Q: Jurs of r in radian system: (1) lim (cos lues

A:

Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. Y(s) = y"…

A:

Q: Which of the following is false? a. (x-y+2) = (x-y-11) (mod13) b. (x-y + 2) = (x−y-32) (mod17) c.…

A:

Q: 11). Use the Integral Test to determine whether the sum converges. ∞ n = 1 6n 1 + n4 Evaluate…

A:

Q: Q5: al State and prove the theorem of derivative of inverse functions. bl Use the theorem steps in…

A:

Q: ZB= 27 LC = C = 33 B Submit Question 17 a degrees degrees Jump to Answer

A:

Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: Formula for future value of ordinary annuity is  FV=R1+in-1i Where 'R' is regular periodic deposit,…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT How many positive integers n ≤ 1000 are coprime with N=90

A: We know that 90=2×32×5 Numbers less than 1000 which are divisible by 2 =10002=500 Numbers less than…

Q: A number N is said to be a Hamilton realizable if, given a weighted graph, we can find a Hamiltonian…

A: This graph contains more than two Hamiltonian cycles.

Q: f the matrix 4 3 7 0 51 ¹2 + 3 8 10 8 102

A: Determinant=1757

Q: Find a Maclaurin series for f(x). (Use f(x) = 9 x 18 "X L f(x) = x + + 1 + t8 dt ∞ Σ n = 2 (2n)! 2n!…

A: Solution:-

Q: 1. (System of Linear Equation) choose below. Show manual calculation. Solve the system 2x₁ + x₂ + x3…

A: Given Data: 2x1+x2+x3-11x4=15x1-2x2+5x3-4x4=5x1-x2+3x3-3x4=33x1+4x2-7x3+2x4=-7 To solve the given…

Q: Find the semiannual withdrawals possible over 3.5 years from an account earning 5.25% compounded…

A: Given Data: Principal amountP=1000timet=3.5rater=5.25compounded semiannuallyn=2 The formula for…

Q: If n(A) = 104, n(A U B) = 141, and n(A n B) = 42, find n(B).

A:

Q: Calculate the exact slope m (rather than a decimal approximation) of the straight line through the…

A: We know slope of the straight line passing through the  given pair of points  (x1, y1) and (x2, y2)…

Q: For an area A in the x-y plane, in the expression I₂ = Ix+ly, the term Iz is the: Minimum…

A: Perpendicular axis theorem: When a body is symmetric in shape about two out of three axis and if the…

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A:

Q: 3. Given C = 311 131 1 13 a.) Find an orthogonal matrix P that diagonalizes C (i.e, P-¹CP is…

A: We find required matrix P by finding eigenvalues and corresponding eigenvectors of matrix C. Then…