A pretzel factory has daily fixed costs of $2100. In addition, it costs 30 cents to produce each bag of pretzels. A bag of pretzels sells for $1.60. Complete step (a) (c) below. C... (a) Find the rule for the cost function c(x) that gives the total daily cost of producing x bags of pretzels. c(x) = =(Simplify your answer.) (b) Find the rule of the revenue function r(x) that gives the daily revenue from selling x bags of pretzels. r(x) = (Simplify your answer.) (c) Find the rule of the profit function p(x) that gives the daily profit from x bags of pretzels. p(x) = (Simplify your answer.)

Q: In this question, we seek to determine the area of a rectangular domain, R, with base on the x-axis…

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

Q: The Fourier series representation, FS(t), of a function f(t), where f(t + 6) = f(t) is given by 00…

A: The Fourier series is used for the expansion of a function. Fourier series is the combination of the…

Q: a. Let |b| 1. Prove that an = |c|^n is increasing and lim n→∞ an = ∞. (Apply part a. to c = 1/…

A:

Q: Evaluate e fy³dz — 2³dy, where C' is the boundary of the region between the circles æ² + y² = 4 and…

A:

Q: Let f: Z/4Z → Z/2Zx Z/2Z be defined by f([0])= ([0], [0]), ƒ([1]) = ([1],[1]), f([2]) = ([0], [1]),…

A: We see,         [2] = [1] + [1]    but, f([2]) = ([0], [1])          f([1]) + f([1]) = ([1], [1]) +…

Q: Let f (x) = e-t if t ≥ 0 and ƒ (t) = 0 if t < 0. (a) Show that f is a probability density function.…

A:

Q: Find the cylindrical coordinates (r, 0, z) of the point with the rectangular coordinates…

A: Given: Rectangular coordinates 2,-2,-2 of the point.To find: Cylindrical coordinates r,θ,z of the…

Q: Create an example of an elliptic curve over the rational numbers. Make sure it meets the…

A: We need to create an example of an elliptic curve over the rational numbers keeping intact the…

Q: Find the Laplace transform, F(s) of the function f(t) = 4, t > 0 F(s) = ,s> 0

A:

Q: Let A = {m € Z/m = 4k +8} where k = Z, and let B = {n € Zn = 2r + 2} where r = Z. Show |A| = |B|.

A:

Q: The population of a certain inner-city area is estimated to be declining according to the model P()…

A: The given problem is to predict the population after 6 years with the given population model…

Q: Find the curl of the vector field F. F=(x-y-z)i + (2x -y + 5z)j + (8x + 7y+z)k curl F = i + j k

A:

Q: Evaluate (x + y)ds where C is the straight-line segment x=t, y = (4 – t), z = 0 from (0,4,0) to…

A: We have to find the given line integral.

Q: X₁ = and A₂ = and A3 = Find the eigenvalues and eigenvectors of the matrix A = v₁ 19⁹ V3 = = -2 0 3…

A:

Q: E. Use separation of variables or linear differential equations to solve the following differential…

A:

Q: Let X={1,2,3}.  Let P(X) be the set of all subsets of X (i.e. Power set of  X). Let R be a relation…

A:

Q: The population of a certain city was 26000, then 5 years later the pouplation was 36000. Part 1…

A:

Q: Q10B. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f, g} E = {{a,…

A:

Q: Use a power series to represent the function f(x) Provide your answer below: M8 n = 0 = 14 9x - 2 I…

A:

Q: 3u² Suppose w(x, y) = (x²y+e), where y=vsin(uv) and x=ln √2v value of method. dw dw ди ду when π √2…

A:

Q: A car service charges customers a flat fee per ride (which is higher during rush hour traffic) plus…

A: Given that the passenger took the ride for x minutes at $0.20 per minute. He also travelled y miles…

Q: Suppose you attempt to use Newton's method to approximate a solution of the equation x² + 5x³+4x² -…

A:

Q: On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the…

A: In an exponential growth, firstly the quantity increases slowly over time and then, it increases…

Q: Find the absolute maximum and absolute minimum values of ƒ(x, y) = (x−3)² + y² on the set D: {(x,y):…

A:

Q: y" + (x-7)y = 0

A: To find the series solution of the given differential equation. We consider a series solution in…

Q: Find the following matrix product, if it exists. -4 -5 -3 -2 1 0 -2 0 -1 -4 3 3 Select the correct…

A:

Q: solve the initial value problem: y'' - 5y' + 4y = e^(4x) y(0) = 0 y'(0) = 10/3

A:

Q: y= 2sin 1/2 x   FInd the 5 key points

A:

Q: Could you explain this in detail?

A:

Q: (Numerical experiments) For each of the values of r given below, use a computer to explore the…

A: Given : σ = 10 and b = 83 r = 212 (noisy periodicity)   To explore : The dynamics of the Lorenz…

Q: Suppose that g is a function of two independent variables that has continuous partial derivatives,…

A:

Q: without solving given the differential equation, find the minimum radius of of series solution power…

A:

Q: Find a parameterization of the paraboloid 64z = 4x² + 16y2, zs 1. Choose the correct…

A:

Q: Prove that the series 1(-1) ²n converges uniformly to a function f on every bounded interval, but…

A: Answer :-

Q: the year 2000, the population of a small city was 42,000. The population grows at a rate of r(t) =…

A: Given population growth rate function is f(x)=1300 e (0.03t) where t is time in years after 2000.

Q: Use the midpoint rule with the given value of n to approximate the integral. (Round your answer to…

A:

Q: Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several…

A: Given: Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created…

Q: In Problems 1-20, determine the Laplace transform of the given function using Table 7.1 on page 356…

A:

Q: b. Let g(x, y) = (2xy +e² − 3)i + (x² − y² +sin y)j. Calculate g(r) dr where C' is the ellipse 4x²…

A: Since there are two questions, therefore find the solution of the first question.

Q: A soccer ball is kicked into the air, and its height (h) in feet after t seconds is given by h (t) =…

A:

Q: Problem 9.1 Green's theorem in the plane Using Green's theorems, compute the circulation and flux of…

A: Note : As per our Guidelines , we can solve first part as your all parts are not small. Please…

Q: Find the Laplace transform, F(s) of the function f(t) = − 9t¹ + 6 sin(3t), t > 0 F(s) = s > O

A:

Q: 4. Solve the system below using matrices and matrix operations. Write the final answers in exact…

A:

Q: 10. s-1 2s² + s +6

A:

Q: solve the differential equation given by хчу" + 3ху - чу - 0

A: Given differential equation is x2y''+3xy'-4y=0 --- (1) Let assume y=xλ then ⇒y'=λxλ-1⇒y''=λ(λ-1)xλ-2…

Q: Solve the matrix equation AX = B for X. 1 2 75 A = 8 B= -6 - 24 ...

A:

Q: Jim took clothes to the cleaners three times last month. First, he brought 4 shirts and 2 pairs of…

A:

Q: In this problem, we will look at some properties of the Riemann integral of the absolute value of a…

A: Given :  Some properties of the Riemann integral of the absolute value of a function.   To solve :…

Q: 1 For parts (a) to (c) of this question, we consider the 2 x 3 matrix A = 0 1 (a) Compute AT A and…

A: (c) Given:  The 2×2  matrix A=110011 To do: We need to evaluate the matrices U, ∑ and V for A and…

Q: y = (-8cos3x + 24sin 3x) e -X None of the choices y = = (24cos3x - 8sin3x) ex y = (24cos3x + 8sin3x)…

A: