Explain how to simplify a rational expression and how to find the domain of a rational function. Finally, post a rational expression and ask your classmates to simplify.

Q: A manager estimates the daily output of their factory to be: Q = 2x³ + x²y+y³ units, where is the…

A:

Q: On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8…

A: Given that, Each episode of WWE entertainment was typically watched by 3.8 million viewers, and each…

Q: Assume that the rate of decay of a radioactive substance is proportional to the amount of the…

A:

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 80x - 0.5x²…

A:

Q: Solve dy = tan y cot x - sec y cos x, simple dx substitution [Hint: Express the functions first in…

A: dydx=tanycotx-secycosx We have to solve it . Remember : A differential equation Mdx+Ndy=0 is called…

Q: Let the universal set U be the set of all customers of the Robin Bank. Consider the subsets: A = set…

A: A = set of customers who have a current bank account B = set of customers who are bankrupt B∩A = set…

Q: Find the mass and the x-coordinate of the center of mass of the lamina occupying t region R, where R…

A: Given: The mass density of the lamina is ρx,y=4y and the region R is bounded by y=sin3x, y=0, x=0,…

Q: 1. Let A be an n x n matrix and x is a scaler. Show that det(x A)=x" det(A).

A: Solution:-          It is given that , A is any n×nmatrix and α is a scaler .…

Q: Express x8 - x as a product of irreducibles over Z2.

A: Given polynomial is fx=x8-x. To Express: The given polynomial fx=x8-x as a product of irreducible…

Q: nd a basis for the subspace of R³ spanned by S. S = {(5, 5, 9), (1, 1, 3), (1, 1, 1)} TEP 1: Find…

A:

Q: 1. Calculate the iterated integral 42 [] {x²³y+ ¡¡ 10 (5x² y + 4x)dy dx

A:

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: 1. Consider the IVP u"(t) = 8(t), u(0) = 0 = = Apply the Laplace transform to solve this equation.…

A:

Q: One of the methods that the Internal Revenue Service allows for computing depreciation of certain…

A:

Q: 50 of the above components sent off site to be painted on their return 4 of the components are found…

A: We know that probability of an event is PE=Number of favourable outcomeTotal number of outcme  Total…

Q: TÌM Find the general solution of this equation: 9y" + 6y' + y = ₁²−1 t²-t e 1)

A:

Q: 2. Find the ger 3. Find the general solution of the equation t2x" - 3tx' + 3x = 4t7. r(t) be…

A: Here we have to find the general solution of the given differential equation.

Q: Problem 5. Give an example where X is not path connected, f: X→ Y is continuous, and im(f) is path…

A: Actually, the the difficult part is not to find such function f but to find such space X. Here I…

Q: 1. Given A || do - do [0.5 0.5 0.5 0.5 -3 -2 1-3 1 -0.5 0.5 -0.5 0.5 1 4 If the Gram-Schmidt process…

A:

Q: Show that A5 does not contain a subgroup of order 30, 20, or 15.

A: In this question, we have to show that A5 does not contain a subgroup of order 30, 20 or 15. We know…

Q: nd the equati point (-5, hogonal to 5+-ну e

A: Equation of a plane passing through (x1, y1, z1) and orthogonal to a line whose direction ratio is…

Q: The table below shows the estimated value C, in dollars, of an 1877 Indian Head Cent (Philadelphia…

A: For a function of the form: y=f(t), the dependent variable is y and the independent variable is t.…

Q: . If A₁, A₂ € and P(A₂)=P(A₁A₂)=p, prove that P(A) ≥1-2p

A:

Q: Consider the integral -10 ln(x) x² S If the integral is divergent, type an upper-case "D".…

A:

Q: 2. Determine the inverse Fourier transform of the following functions: a لمند 2// 1 ـ لما

A:

Q: Question 3: Consider the following functions: are they continuous at the origin (0, 0)? 2x f(x, y) =…

A:

Q: 2 1 0-2 -1 0 -1 1 2 0 1 2 1 0 along the fourth column 3

A: Here we have to calculate the determinant value of the given matrix.

Q: (a) Show that the Euler-Lagrange equation gives no constraint on the function .x(r). (b) Give a…

A: The given extremal functional is I[x]=∫0πcosx(t)x˙(t)dt. (a) To Show: The Euler-Lagrange equation…

Q: Write an exponential function f(x) that goes through the points (2,3) and (4,5). Round the…

A: Consider the exponential function  fx=abx  ---------- (1) Assume that the above exponential curve…

Q: Assume that the rate of decay of a radioactive substance is proportional to the amount of the…

A:

Q: xy² R x² + 1 Round your answer to four decimal places. Find • dA, R= [0, 4] × [ - 2, 2]

A: We need to evaluate the integral: ∬Rxy2x2+1dA in the domain: R=0, 4×-2, 2. Use the provided limit to…

Q: 1. (Section 16.4) The following integral gives the volume of a solid (a) Graph the solid. *…

A:

Q: Find the equation of a hyperbola satisfying the given conditions. 1 vertices at (0,4) and (0,-4);…

A:

Q: (a) Let f: [0, ∞) → R be defined by f(x) = √x. Show that lim f(x) ce [0, ∞). Is f a continuous…

A: We prove the details using the e-d definition in step 2. Solution has been typeset in LAtex clearly.

Q: (1 point) Use a graph below of f(x) = ln(8x² + 1) to estimate the x-values of any critical points…

A: a) To find the inflexion point either by graph or derivatives, we will end up having the same…

Q: Analyze the given electical circuit by finding the unknown currents. NOTE: Enter your answers…

A:

Q: Suppose that n = 7. PART I Let a 40. What is a mod n? Let b 6. What is b mod n? Let c =37. What is c…

A:

Q: Q/Solve the differential equation by exact sint cos x dt - sin x cost dx = 0

A:

Q: Problem 8. Regarding each of the following characters as a subset of R2, give the number of path…

A: The solution  for the first 4 subparts are given. If you need the answer for other subparts, please…

Q: e) Of the subscribers surveyed, how many watched at least one of these shows? (Simplify your apgu

A:

Q: an equation for each horizontal translation of f(x)=x^2+3 8) 3.7 units ri

A:

Q: Problem 6. Give an example where X is path connected, f: X- continuous, and im(f) is not path…

A:

Q: If the system is inconsisitent, type "NA" in the solution box. a b C = = = -2b + 6c = 10 4a + 12b -…

A:

Q: If A₁, A, E and P(A) = P₁, P(A)= P₂, show that P(A₁4₂)≥ 1- P₁ - P₂. (Hint: Use DeMorgan's Law (44₂)…

A:

Q: The solution to this IVP: dy 4 Y dx X with initial condition y(1) = 1 is: y(x) = + 7y5

A:

Q: Use a truth table to determine if the following argument is valid (select true for valid, false for…

A: premises Premises Conclusion p q q p→q p T T T T T← Critical row T F F F T F T T T F F…

Q: b) Rewrite Definition 3.14 using the unique existential quantifier. c) Suppose f:AB. Rephrase the…

A:

Q: Find the volume of the solid under the surface f(x, y) R= [0, 1] x [1, √2] on the xy-plane. x³ y (x²…

A:

Q: Given is the graph of f(x) which has the domain of (0, ∞). y 8 + X = 2 N 8 (a) Find the interval(s)…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Q/Solve the differential equation by exact e-28 dr - 2re-20 de = 0

A: Given differential equation solving by exact differential equation