A manufacturer sells a product at $8.45 per unit, selling all produced. The fixed cost is $2300 and the variable cost is $7.20 per unit. At what level of production will there be a profit of $5000? At what level of production will there be a loss of $1450? At what level of production will the break-even point occur? There will be a profit of $5000 when the production level is units.

Q: Use Laplace transform to following −1+x²³³ + x² 6 solve the volterra integral equation. + 2 sinhu +…

A: As per the question we are given a Volterra integral equation and we have to find the solution y(x)…

Q: An= (2n-1)² Yp(x) = y" + λγ = 0, y(0) = 0, γ'(π/2) = 0 = n = 1, 2, 3, ... n = 1, 2, 3, .

A:

Q: 5. Determine whether the following series is convergent or divergent. n² +n +1 n² ln(n) (v 5n4 + √n…

A: We have to Determine whether the given series is convergent or divergent.

Q: nction in r-SOP and list all the prime implicants.

A:

Q: If the Taylor series of function f(x) = In(4x + 3) about a = 1 is co + (x - 1)" then, and if n ≥ 1,…

A:

Q: If T: R² → R² is a linear transformation such that then the standard matrix of I is A = 19 47 3 -48…

A: Given that T:ℝ2→ℝ2 is a linear transformation such that T32=193 and T6-5=47-48. To find the standard…

Q: 0 A 。 0 1 Which boxplot is a reasonable summary of the data used to create the histogram? There are…

A: Solution:

Q: find the Jordan canonical form J for the matrix  A.You need not determine an invertible matrix S such…

A:

Q: Consider the initial value problem (a) Find the eigenvalues and eigenvectors for the coefficient…

A:

Q: Let x 1. Use the principle of mathematical induction to prove that 1-x+1 1-x n Σ k=0 for all n E N.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Let A = Q1R1 = Q2R2, where Q1 and Q2 are orthogonaland R1 and R2 are both upper triangular…

A: Since A = Q1R1 = Q2R2, we can write:   Q2^TQ1R1 = R2   Since Q1 and Q2 are orthogonal, their product…

Q: Find the nth Maclaurin polynomial for the function. f(x) = tan x, n = 3 P3(x) = Need Help? eBook…

A:

Q: b) Find all the analytic functions for which Rez = Im f(z)

A:

Q: Prove thar If |G|=np with p>n and p prime, and H is a subgroup of G with order p, then: H is normal…

A: We proved by contradiction that H is normal in G  The procedure is given below

Q: TRUE FALSE TRUE FALSE If ff(x) dx converges and 0 ≤ f(x) ≤ g(x) for all x ≥ 1, then g(x) dx…

A: Concepts:

Q: For the following problem, do not include a graph. (a) For the parabola y = 5x² + 3x + 1, find the…

A: Sol:- To find the vertex of the parabola y = 5x² + 3x + 1, we first need to put the equation in…

Q: Find the marginal revenue function. R(x) = x(13-0.04x)

A: Here we have to calculate marginal revenue function of the given R(x).

Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear…

A: the liner approximation of a function f( x) is L(x)=f(a)+f'(a)(x-a)

Q: II) d²y dx² y +4y² - 2 (2) ² = 0

A: We solve this differential equation by substituting method .. The procedure is given below

Q: (a) Use the Integral Test to show that the series Σ=1 (b) Find the value of the approximation s5 =…

A:

Q: 1. Use Fundamental Theorem of Calculus to evaluate (a) Jo sin zdz, C: arc eit, -≤ t ≤ 5; (b) Jedz,…

A: To Evaluate: The following integrals using Fundamental theorem of calculus: (a) ∫Csinz dz ,  C: eit,…

Q: 1. a restaurant offers their new snacks of potato fries and strawberry milk tea that cost $90.00.…

A: Let the cost of an order of potato fries be ᵽx and the cost of an order of strawberry milk tea be…

Q: Prove each of the following statements using strong induction. (a) Prove that any amount of postage…

A: Since you have posted a multiple question according to guildlines I will solve first(a)question for…

Q: Liminf of the sequence is an = √2n(√2n +4 | 3 + 1/1/0 n √2n) n is a prime number n is not a prime…

A:

Q: -п 5- 4- 3- 21 0 -1- -21 --31 0 со Н п, 32 TT 2п Зп 13 يع | من 4п п. 32 5т

A:

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: The given problem is a LP problem. Let, X represent busses and Y represent vans.

Q: Let A be a nonsingular n × n matrix and let λ be aneigenvalue of A. Show that λ ≠= 0

A: Let A be a nonsingular n × n matrix and let λ be aneigenvalue of A. Show that λ ≠= 0

Q: Prove each of the following statements using strong induction. (a) Prove that any amount of postage…

A:

Q: 29. Find a general solution to the following higher-order equations. (a) y""y"+y' + 3y = 0 (b) y"" +…

A:

Q: A pediatrician wants to determine the relation that exists between a child's height, x and head…

A: Given, Height (inches), X Head circumference (inches),Y 27.5 17.5 24.5 17.1 25.75 17.2…

Q: (a) Find the values of p for which the following integral converges: NINF 1 XP Input your answer by…

A:

Q: Question 2 A force field (in newtons) is defined by F(x, y) (b) = where coordinates x and y are in…

A: Given vector force function is  Fx,y = xy2+x , -x2+1y3 (a)  F0,1 = 012+0 , -02+113 = 0,-1…

Q: 57. Are the simple graphs with the following adjacency ma- trices isomorphic? a) 6:30 1 1 1 1 0 0 0…

A:

Q: Please answer with the same format as the table shown in the picture

A: Since you have posted a question with multiple subparts, so we will solve only the first three…

Q: Compute the indifinite intergration. Double check the answer by using derivatives. f(w²w³+w4)dw,

A:

Q: Show that the set of solutions of a second-order linear homogeneous differential equation is…

A:

Q: Apply the predictive control law to a fifth-order process:Y(s)/(s)=1/(5s+1)⁵.Evaluate the effect of…

A: To apply predictive control law to the fifth-order process, we need to first obtain a discrete-time…

Q: A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is…

A: Solution:

Q: ✓ 2.29 A square matrix is a diagonal matrix if it is all zeroes except possibly for the entries on…

A:

Q: Complete the table below by filling in the equivalent percent, decimal, or fraction. Reduce…

A: We need to complete the table.

Q: 9. (a) Do a partial fraction 22²z+1 (z − 1)(z + 1)² = A 2- + B 2+1 + C (z + 1)² (b) Evaluate the…

A:

Q: Prove that if H is a subgroup of a finite group G of index p, where p is the smallest prime that…

A: This question is about group theory.

Q: (a) determine whether the set of vectors in Rn is orthogonal, (b) if the set is orthogonal, then…

A:

Q: Find a basis of the subspace of R4 defined by the equation -9x1 - 5x2+6x3-7x4=0. Basis:

A:

Q: Find the the characteristics coresponding functions. if there Following for the equation. numbers…

A:

Q: A 100 gallon tank initially contains 10 gallons of fresh water. At t = 0 a brine solution containing…

A:

Q: The Venn Diagram below displays the elements in each corresponding part of the diagram. Use this…

A:

Q: S 1 2 10-Sy */ - / / dy x4

A: Sol:- 10-∫ y51x4-2x5dyFirst evaluate ∫ y51x4-2x5dy=1x4-2x5·∫…

Q: Find the eigenvalues and cigenvectors of matrix A. Then find the general solution to X(t + 1) =…

A:

Q: The characteristic polynomial of the matrix A is p(x) = (A-2)A³ The matrix has two real eigenvalues…

A: