Antonio and Jeremy work for a plumbing company that was recently awarded a contract to install the plumbing fixtures in a new office complex. There are 12 bathrooms in the building. It takes Jeremy 4 hr longer than Antonio to complete one bathroom. If they work together it takes 8 hr to compete a bathroom. Find the rate at which each individual can complete a bathroom working alone.

Q: Let x(t) = x' (t) x₂ (t) = = £1(t) x₂ (t) -5 x₁(t) -2x1(t) 2 be a solution to the system of…

A:

Q: Complete the identity.

A: 18. Given that the identity is:

Q: y"-xy'+y=0 2021

A:

Q: Following an exponential distribution, the average lifespan of a smartphone battery is 2.3 years.…

A: Expected Cost as calculated using R Code:- $190.5 set.seed(1)cost<-rep(0,100)for (i in 1:100)…

Q: Give an example of a nonsingular matrix whose Gershgorin domain contains zero.

A:

Q: A ball is drawn randomly from a jar that contains 4 red balls, 4 white balls, and 4 yellow ball.…

A:

Q: how that there are arbitrarily large gaps in the sequence of primes, i.e., that for any natural…

A: The idea is to use factorials

Q: L[(1² +51)U₂ (1)]

A:

Q: 3. Solve using the Laplace transform: (a) y"+y=03(t), y(0) = 0, y'(0) = 1. (b) y"=t04(t), y(0) = 0,…

A:

Q: Consider the sequence an=1,7,13,19,...,6n+7 a) How many terms are in the sequence? Your answer will…

A:

Q: (a) class(x)| = |G: N(x)| for all x € G. (b) If H is a subgroup of G, then the number of conjugates…

A: Given Information: is a finite group.Normalizer: , where .To Prove:a) .b) Number of conjugates of…

Q: Use the Laplace transform to solve the given initial-value problem. dy dt y(t) = - y = 1, y(0) = 0

A:

Q: (1 Evaluate the triple integral JI-8a²-8y² dv S where S is the solid that lies in the half space y ≥…

A:

Q: Let aggregate national income be given by Where C, I and G are consumption, investment and…

A: As per the question, we given economic model, we have derived a linear second-order difference…

Q: The function / (t) = -0.2t³ + 3t² +100 for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A:

Q: Garry and Chris plan to put down all-weather carpeting on their porch. The length of the porch is 2…

A:

Q: 3. Let G be a group. Recall that if x E G, we defined the conjugacy class of x in G, denoted by…

A:

Q: A sheet occupies part of the disk x^2 + y^2 ≤ 1 in the first quadrant. Find your center mass if the…

A: Given, region R is the part of x2+y2≤1 in the first quadrant. If (x,y) be any point on the disk then…

Q: J. (a) In how many ways can the letter of the word BECOMING be arranged in a row? (b) In how many…

A:

Q: and then find two power series solutions. b) y"-xy'+y=0

A:

Q: Prove that for any m x n matrix A and vector b € Rm, the vector ATb belongs to the image of matrix…

A: The Fundamental Theorem of Linear Algebra states that for any matrix A :The null space of A is…

Q: Consider the following system. λ = dt dz dt Find the eigenvalues of the coefficient matrix A(t).…

A:

Q: When recording live performances, sound engineers often use a microphone with a cardioid pickup…

A:

Q: Let x be a random variable that represents the percentage of successful free throws a professional…

A:

Q: 2. Use Frobenius (power series) techniques to find the first four nonzero terms in each of two…

A: Given differential equation2xy″+y′+xy=0Rewrite the equation in the form…

Q: 3. Iff= {(-7, 1), (-5, 8), (3, 11), (5, -1)} and g = {(-6, 4), (-5, 3), (-1, 7), (5,5)}, what is f +…

A: Given that, f={(-7, 1), (-5, 8), (3, 11), (5, -1)} and g={(-6, 4), (-5, 3), (-1, 7), (5, 5)}

Q: 3. Use the method of separation of variables to solve the problem ㅠ U=aU, € [0,j] t20, U(x,0) =…

A: The eigenvalue problem is

Q: Let r(t) = x' (t) x₂ (t) 21(t) [-] x₂(t) If x (0) be a solution to the system of differential…

A:

Q: dz dt dw dt = = 3ezw + 8 sin(z) = cos(82)

A: We have given system of differential equationsLet, Jacobian matrix is given by

Q: Consider two bases B = {b1,b2, b3} and C = {C1, C2, C3} for a vector space V such that b₁ = C₁ +…

A:

Q: Find the area of the region which is inside the polar curve r = 5 cos (0), and outside the curve r =…

A:

Q: Lonstruct a sequence having .63) as its set of accumulation points.

A:

Q: A function h is dependent on x and is differentiable for all real numbers. Let g be the inverse of…

A: Given thatA function h is dependent x and is differentiable for all real numbers. Let g be the…

Q: Suppose we want to approximate the integral widths. Answer: 10 Write out this sum, using function…

A:

Q: 4. [Disproof by Counter Example] Prove that the following statements are false. a) x²=4 => x=2. b)…

A: Since you have posted a multi subparts question according to guidelines I will solve first(a,b,c)…

Q: A solid is formed by rotating the region bounded by the curve y = e-6/2 and the x-axis between x = 0…

A: givena curve  solid is formed by rotating around the x-axisvolume of solid and having constant…

Q: 4) Let the composition of two functions f(x) = sin(x) - 2x² + 1 and g(x) = eº be h = fog. At a point…

A: f(x) = sin(x) - 2x2 + 1g(x) = e0 = 1 h(x) = ()(x)= f(g(x))= sin(g(x)) - 2(g(x))2 + 1= sin(1) - 2(1)2…

Q: Given the functions f(x) = sinx and g(x) = = determine the range of the combined function f(x) g(x)

A:

Q: Find the radius of convergence and interval of convergence of the following power series 2 ³3

A:

Q: A card deck consists of 9 fire Pokemons and 11 ice Pokemons. How many ways can 7 cards be chosen…

A: The objective of the question is to find the number of ways to choose 7 cards from a deck of 20…

Q: Find the general solution to the second-order non-homogenous differential equation using…

A:

Q: Question 4 If y = f(x) = [3-√√2x + 4].u(x) a) Identify the basic function b) Identify the…

A: As per policy, we are allowed to answer only first 3-subparts of the question at a time. So I am…

Q: The graphs of two functions are shown below. Evaluate the function at the given values of x, if…

A:

Q: Estimate the area under the graph of f(x)=x²-4x+8 over the interval [0, 5] using five approximating…

A:

Q: Assume that an+1 √12+ an with ao = √12. Use induction to show tha an < 4

A:

Q: Calls arrive at a switchboard a mean of one every 39 seconds. What is the exponential probability…

A:

Q: 3. (8 points) a. How many arrangements in a row of two or three letters can be formed using the…

A: The objective of the question is to find the number of possible arrangements of the letters in the…

Q: Find the area of the region which is inside the polar curve r = 9 cos(8), and outside the curve = 6…

A:

Q: power series solution

A: