The demand function for a new laptop is p(x) = -3x + 40 where p(x) represents the selling price, in hundreds of dollars, and x is the number of laptops sold, in hundreds. The cost function is C(x) = 16x + 20. a. Determine the profit function. b. Calculate the maximum possible profit.

Q: (e) Maximize z = 5x₁ + 7x₂ subject to 2x₁ + x₂ = 13 5x1 + 9x₂ = 41 X1, X₂0 and integer

A:

Q: find all values of a that make |A| : Values of a: = 0. Give your answer as a comma-separated list. =…

A: The given matrix is .The aim is to find the values of  such that .

Q: ^₁ = and ^₂ = Find the eigenvalues and eigenvectors of the matrix A = " 15 = -5 -3 [23] -10 V₂ =

A: We have to find eigenvalues and eigenvectors of the matrix.

Q: 6.8. Let E be the elliptic curve E: y² = x³ + x + 1 and let P = (4, 2) and Q = (0, 1) be points on E…

A:

Q: Q: How to use IFT to prove A(T) to the following formula A" (w) = |A(w – wo) = [ "s(w³, - -00 H have…

A: Given:The formula is .Aim:How to use IFT to prove  to the formula.Concept Used:The inverse Fourier…

Q: Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to…

A: Given that the data is                      To find the mean, median, and mode.

Q: Problem 6 Use Newton's method to solve following the system of nonlinear equations x² + y² +2²-2= 0…

A:

Q: in the blank. ?

A:

Q: Let X be the space of bounded and closed linear segments on the positive part of the real line, so…

A:

Q: Let's consider the following system of equations: F₁ = x² + x² − 2 = 0 F₂ = x²₁x²₂ - 1 = 0 0 Solve…

A:

Q: The CFO has asked you to use facility data to determine reimbursement for a proposed new service…

A: The CFO has asked you to use facility data to determine reimbursement for a proposed new service…

Q: Q4/Solve the following equation by (Gauss seidel iteration method) 3X1-2X2-6X3=4 X1+4X2-3X3 = 2 2X1…

A:

Q: 2. Solve the following differential equations using classical methods and laplace transform. Use the…

A:

Q: Let V = M₂ (R), the set of 2 × 2 matrices with real entries. Show that the set of matrices of the…

A:

Q: Problem 2. Gamma function is : [(a) = Find : a): [(1): = b): [(2) = c) : [(3) = St a - 1et dt. 0 d)…

A: Given that : Gamma  function is We have use the  above definition  to  the  required values.1) a)…

Q: A cake is removed from an oven at 239°F and left to cool at room temperature, which is 53°F. After…

A: Newton's law of cooling states that the temperature of the body changes at a rate that is…

Q: Determine which of the following series converge: 8] nel 1 (3n − 2)(3n + 1) 8 ΙΣ 2cosm

A:

Q: Determine the following number is rational or not, if it is irrational, prove your result, if it is…

A: We know that if a number is rational then it can be expressed as  where p,q are coprime integers and…

Q: What was the average numbe miles Nate drove each week November? 200 miles 206 miles 214 miles 224…

A: The average of n numbers  is given by

Q: 2. Newton's Law of Cooling states that the rate of change of the temperature T of an is proportional…

A:

Q: Solve the following linear programming problem. Maximize: z = 39x + 10y subject to: 6x+8y ≤ 48. 13x…

A:

Q: What is the mean of the data set rounded to the nearest tenth. 1.4 1.1 1.8 1.6 A. 1. 1 13. 10.8 C.…

A: First  recall the  definition  of mean of n  set of data points.Suppose that we  have  n  set  of…

Q: e pressure, P, of a gas is given by P = ӘР d V is volume. Find and at др av where k is a constant, T…

A:

Q: Problem 7. a) Give a definition of Fundamental Matrix. (t). (See is a same as a Wronskian) Φ b)…

A:

Q: What is the dimension of P₂, the vector space of all polynomials of degree at most two?

A:

Q: em 3. Given differential equation X' = AX, and vector solution x1 = 1 e³t and x2 = 3 e²t 1 2 Find…

A: The differential equation  has vector solution  and .The objective is to find a solution satisfying…

Q: We are given the following training examples in 2D ((-3,5), +), ((-4,-2), +), ((2,1),-), ((4,3),-)…

A: The given training examples are .use +1 to map positive (+) examples and -1 to map negative (-)…

Q: Let Q be the rectangle formed by (0, 0, 0), (1, 0, 0), (0, 1, 1) and (1, 1, 1) oriented CCW as x² dx…

A:

Q: «Σ Determine which of the following series converge: n? +n-2 (2n²-3)² an

A:

Q: (c) If S = {V₁, V2,..., Vn} is a set of vectors in a finite-dimensional vector space V, then S is…

A:

Q: Find the general solution y of the first-order equation 2xyy' = y² = x².

A:

Q: The table below shows the heights, in inches, of 15 randomly selected National Basketball…

A:

Q: Can you please do question c and d of the above thank you :)

A: (c) Calculate the mass of the paperweight using spherical coordinates, set up a triple integral…

Q: Q1: Check whether (K,*) forms a group, where "*" refers to the matrix multiplication and K = {h₁,…

A:

Q: Consider the function represented by the series: 4 f(t)= 8 + Cos (nπt) ns Determine the…

A:

Q: b. Find the eigenvalues of the following upper triangular matrix: a b с A = 0 d e 00 f

A:

Q: Problem 6. Find general solution of the system: X'= AX, where A = 3 0 0 4

A:

Q: Let f(x) = cos ¹x for -1 ≤ x ≤ 1 ( the principal branch 0 ≤ f ≤). Find the polynomial of degree 2,…

A: Given Information:Function is given as  for .Integral To find:The polynomial  of degree 2, in which…

Q: d x √-Lnx by special Functions Error or Gamma or or = Beta or p-function

A: The Gamma function is defined as ∫0∞e−ttn−1dt=Γn .(1) Γ(n+1)=nΓn (2) If n is positive integer,  then…

Q: Both Bisection and Newton-Raphson Method 2. x³ 4x9=0

A:

Q: Perform the following matrix row operation and write the new matrix. G 1-22 3 6 3 R₂+(-3)R₁ After…

A: We have to performing the row operation .

Q: For the given linear algebra matrix, how would S and A3 be calculated to determine if a mtarix is…

A: Given matrix isFor the above given linear algebra matrix, we have to calculate A3  to determine if a…

Q: Assume that n = 8 and the observations are X₁ = 1.01 X₂ = 1.02 X3 = 1.19 X₁ = 1.19 X5 1.28 X6 = 2.39…

A: The EM algorithm is commonly used for maximum likelihood estimation problems, often in the context…

Q: Solve the following differential equation! dy dx 2x³ = e3x

A: The given differential equation..The aim is to find the solution to the differential equation.

Q: Solve the following differential equation! y vd =3-y² dx

A:

Q: The table shows per capita peach consumption. + Per Capita Consumption of Peaches (pounds) 1 2 3 4 5…

A: (a) We have to find the function of the logarithmic cross-sectional model that gives per capita…

Q: two desmos drawing of bird normal and flying using only these functions please Polynomial function…

A: We are drawing of bird normal and flying using only these functions pleasePolynomial function…

Q: Solve the following differential equation: dy x+3y dx 2x

A: We have to solve the given differential equation.

Q: the solution to pard d is wrong. can you please fix it

A:

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +3y=Xy (0) = 0, y(2)…

A: