In this problem, p is the price per unit in dollars and q is the number of units. If the demand and supply functions for a product are p = 790 - 2q and p = 100+ 0.5q, respectively, find the tax per unit t that will maximize the tax revenue T. $ 47610 X /item

Q: Show that the stationary path of the functional V S[y] = ["™ dx (y² +y²), _y(0) = 1, y(v) = v, v >…

A:

Q: Courtney is in the process of buying a minivan. The van she wants to buy is $29,990. The required…

A: The objective of this question is to find out the amount that Courtney will need to finance to…

Q: 5) Ex 9.5 from Lecture Notes determine which of the Using following functions are entire. Justify…

A:

Q: 2 a. f₂ |x|dx -2

A: We have evaluate .Note: According to the guidelines we are allowed to solve one question at a time.…

Q: Use the linear regression models above to answer this question. There are two break-even points.…

A:

Q: Find the general solution of the differential equation: 8xy'-2y x² y² Use lower case c for the…

A:

Q: Suppose you want to have $300,000 for retirement in 20 years. Your account earns 10% interest. How…

A: The objective of this question is to find out how much money needs to be deposited each month in an…

Q: Obtain the first four nonzero terms of a Taylor series solution, centered at 0, of the initial-value…

A:

Q: Price-Demand Equation At YasterMart, people are willing to buy a pounds of chocolate candy per day…

A: The second question seems to be complete. We are to answer only the second question.The price-demand…

Q: Let T: R² P2 {where Pn denotes the vector space of polynomials with real coefficients that have…

A: The objective of this question is to prove that the given transformation T from R^2 to P2 is a…

Q: -example 1- Find the largest open interval, centered at x = 1, such that for each x in the interval…

A:

Q: Q3: Define a function f(t) for t> 0 by f(t) = sint+t+8(t),, Solve the differential equation y" + 3y'…

A: Given differential equation: where  for We have to solve the given differential equation by using…

Q: Consider the differential equation y" - 7y' + 12y = et. Find a particular solution. Find the general…

A: The given differential equation .The objective is to find the particular and general solution to the…

Q: Suppose the demand function for a product is given by - p = —— In(5,000 = a) where p is in hundreds…

A:

Q: x' = 5 1 - 1 3 X

A:

Q: Sales Analysis A company's total sales (in millions of dollars) t months from now are given by S(t)…

A:

Q: complote the following using ono of the "motheds of substitution". −y dx + (x + Vxy) dy = 0

A:

Q: can you explain the i.e part of step 2 part B?

A:

Q: Consider the initial value problem y = sin(72) +, y(2) = 2 Use Euler's Method with five steps to…

A:

Q: Given the equation of a conic in the form 8x^2 -12xy +17y^2 -20=0 we can convert this into standard…

A: Let Substitute these into the conic equation and collect terms:

Q: 22 (1 207)-2(3) Эх? дх1 x X1 дх1 дх1 -X1 X - 2 ²-3x² 5 ро Ər p3x1-x1 x3r². дх1 ро - (7) p3-3x1r2 .6…

A:

Q: can you explain how you found the values for H(t-3)

A: We have to explain how we got the value of H(t-3) and H(t-1) and H(t)-H(t-3)

Q: omplote the following using ano dy dx of the methods of substitution" 3x + 2y 3x + 2y + 2' y(-1) =…

A:

Q: Figure 1 shows a periodic function, f(x), with period of 2. f(x) wimm -π O π (a) State if the…

A:

Q: find A³. Write A³ as input your answer below: all = 912 = Given the matrix 921 = 922 = ^=[83]. A A³…

A: The given matrix .The objective is to find the matrix .

Q: 2) Let X be a finite dimensional vector space and S, T are subsets of X such that SST then a) If S…

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

Q: Find the eigenvalues A₁ A2 < A3 and corresponding eigenvectors of the matrix 6 27 -3 0 -1 -5 0 0 4 4…

A:

Q: You have $400,000 saved for retirement. Your account earns 6% interest. How much will you be able to…

A:

Q: Solve the following recurrence. Just find the solution. No need to prove it using induction.: T(n)…

A:

Q: Revenue, Cost, and Profit Yaster Electronics manufactures and sells a televisions per month. The…

A:

Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

A: For price-demand: xP ($)2910145034151275464511235330918Regression line:Hence, the linear regression…

Q: Solve the initial value problem: Z" – 16Z = 24x² – 32x - 3, Z(0) = 2, Z'(0) = -4

A: z(x)=−23x2​+2x+41​e4x+47​e−4xExplanation:Steps of solution The given that…

Q: = (15) Determine whether or not the functions y₁ 4x³, y2 = π, y3 = 12x², and y4 = 24x are linearly…

A:

Q: 8. Solve using the Laplace transform method: d²y dt² - 2 + y = 5et and y(0)= 1, y' (0) = 1 dt

A:

Q: Q2. The motion of a body performing damped forced vibrations is described by the following second…

A: Firstly we find complementary function and then particular integral to solve linear differential…

Q: Consider the differential equation y" — y' — 6y = eª + sin t. Find a particular solution. Find the…

A:

Q: Hi I need help with part b

A: 2 b) Re{ f(i) } = ±0.4550Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 2. Let us define a. Verify that f(x,y) af əx b. Argue by symmetry that we must have af ду = xy(x² -…

A: Given the function is .We need answer the following subparts of question.Part(a)

Q: Find all x in R4 that are mapped into the zero vector by the transformation X→Ax for the given…

A:

Q: 1 Find the average value of ƒ(x) = 6x+- X on [1, 3].

A:

Q: Define a relation = on Zby m = n if m – n is divisible by 3. a. Show that is an equivalence…

A:

Q: An ad agency tracks the complaints, by week received, about the billboards in its city: Week 1 2345…

A: Compute the average:Hence, the value of  is 9.33.

Q: b) Compute Re fli) when : f(2)= √Z - 1² and f(0) = -i c) Which of the following functions are…

A: Analytic function : A function f is analytic at a point complex point z=a iff the f(a) is a finite…

Q: A moving company bought a moving truck for $42,540. The company traded in its old truck and received…

A: The objective of this question is to calculate the down payment the moving company needs to make…

Q: 3.42. Let G be the set of all sequences of integers (a₁, a2, a3, . . .). 1. Show that G is a group…

A: The objective of the question is to prove that G is a group under the given operation and H is a…

Q: Parent W requires one of component B and two of component C. Both B and C are run on work center 10.…

A: To determine how many Ws should be produced in a week, let's break down the production process for…

Q: Consider the differential equation y" + 3y' - 10y = 6tet. Find a particular solution. Find the…

A:

Q: Suppose you want to have $400,000 for retirement in 30 years. Your account earns 8% interest.a) How…

A: The objective of this question is to calculate the monthly deposit required to reach a retirement…

Q: Find the eigenvalues & eigenvectors of the matix ( A = 5 - -10 100 10

A: Given matrix is Here eigenvalues obtained from characteristic equation Noted that here A is a  marix…

Q: Three friends: Andrés, Juan and Carlos are preparing to climb some stairs and they do it in the…

A: The objective of the question is to find the minimum number of steps in the staircase such that all…