The revenue of a company making the TV show "It's always sunny in Philadelphia" can be represented by the equation p(d)=-4d^2+360d-5600, where P represents the profit in thousands of dollars and d represents the number of DVDs produced in thousands. A. What is the profit or loss generated after selling 12000 DVDs? B. After how many DVDs does the company break even C. After  how many DVDs does the company make a minimum profit D. What is the maximum profit

Q: 5. Determine whether the series diverges. (-1²-²²+5 converges absolutely, converges conditionally,…

A:

Q: Show your step-by-step/complete solution. Box or encircle your final answer. A. Use Disk Method:…

A:

Q: solve the following system of equations: x'=dx/dt=7y+7e4t y'=dy/dt=5y-3e-5t

A:

Q: Let A, B & Mn (C) be Hermitian matrices. Then

A:

Q: 7) Find the value of a retirement savings account with a monthly contribution of $50 (contributions…

A: Monthly investment  = $50 Interest rate = 4.8% per year i.e. 0.4% per month

Q: Find the first four terms of the binomial series for the given function. -1/2 (1+3x) 135 16 135 16…

A:

Q: . Find the Maclaurin series for f(x) using the definition of a Maclaurin series. n=15(2 – r) -3

A:

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: a) Here we have given that the daily revenue from the sales of x lawn chair is defined by the…

Q: 1) The distance, travelled by a car, f(x), in meters, after x hours, can be represented by f(x + 20,…

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

Q: The fixed point iteration method X(+1) = g(x₂) converges if O I g'(x) | = 1 Og'(x) | > 1 Olg'(x) |<1…

A: We want to find true statement.

Q: 2 Gwen SS8 dydx. Reverse the order √x y+8 of integration and evaluate. Draw the region. √TT (x (x²…

A:

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A:

Q: The matrix has two distinct eigenvalues with ₁ <d₂. The smaller eigenvalue ₁ = The larger eigenvalue…

A:

Q: 2. Let G = {(a, b)|a, b € R, a ‡ 0}. Define a binary operation * on G by (a, b) * (c,d) = (ac, b+d)…

A:

Q: Find the line y = a + bx which best approximates the data points y = (-4, 59), (-3,49), (-2, 38),…

A: We have to find the best fitted curve from the given data.

Q: Solve the differential equation below using series methods. (-7x²+8)y'' - 2xy = 0, y(0) = 4, y'(0) =…

A:

Q: Prove that [2,5] and (3,4) have the same cardinality.

A:

Q: find the equation of the inverse of one-to-one function  n(y) - y^2+9, y≥ 0

A: We know that x = y2 + 9 is a parabola with the vertex at (9, 0). The graph that is shown below…

Q: 5. Set up the integral to find the volume of the solid whose horizontal base is a circle of radius 2…

A:

Q: 77 The value of definite integral (a) 2 (b) 3 x²x² +1 (+(²2-0²-1))) ₁ (c) 8 + ln x dx is equal to:…

A: To find- The value of definite integral ∫13x2x2+1 + lnx2x2x2+1 dx is equal to: 2 3 8 13

Q: 4. Elements of a sequence to the power of zero.

A:

Q: 0. When a circular shield of bronze is heated over a fire, its area increases at a rate of…

A:

Q: Let Y(s) be the Laplace transform of y(t). Find the equation satisfied by Y(s) when solving the…

A: Introduction: The Laplace transformation is a very important tool in solving an initial value…

Q: Find the ONLY particular solution of the given linear system: x+3y+z+2t=1 2x+6y+4z+8t=3 2z+4t=1. 1/2…

A:

Q: Let A be a non-empty set of positive numbers, which is B={re R:1/xe A}. Prove that B is bounded…

A:

Q: Find the Taylor series for f(x) centered at the given value of a. f(x) = coshx, a = 1. 3) noismit at…

A:

Q: Solve the given differential equation by undetermined coefficients. y''' − 6y'' = 2 − cos(x) y(x) =

A:

Q: 1 0 Let R be the region in the first quadrant bounded by the graphs of y = 4 cos () andy = (x - 2)²,…

A:

Q: Which of the following are valid witnesses to show that 10n-1 is (n)? O C=1, k=100 O C=10, k=10 O…

A:

Q: (a) The dimensions of the rectangular block are 10cm by 20cm by 15cm. with a possible error of 0.05…

A: We have to find (approximately) the greatest error in the surface area of the block and the…

Q: 13. Find the mass of a thin funnel in the shape of a cone z = √√x² + y²,1 ≤ z ≤ 4, if its density…

A: Here given the shape of a cone  z=x2+y2, 1≤z≤4 , Write it in polar coordinate D=r, θ: 1≤r≤4, 0≤θ≤2π…

Q: Use Golden-Section search method to find the maximum value of the function f(x) = 3x-x²-e* +5. Use…

A: Given,f(x)=3x-x2-ex-2+5xl=-2 , xu=4 , ξs=0.000005To find: Maximum value of f(x) using Golden-Section…

Q: MAFS.912. S-ID.1.1 Yesenia records the ages of 9 friends. A box plot of her data set is shown.…

A: For Dot Plot first you have to know in this question how to recognise in which age group Yesenia…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: 57. Let f(x) = lim (a) cos (tan 1) COS X n→∞ 1+ (tan then the value of f f(x) dx is equal to: 0 tan…

A: The given question is related with integration. Given that ,                 fx = limn→∞ cos x1 +…

Q: Use the third Taylor polynomial P3 (x) for f(x) = x + x ln x about o ƒ(2). 1 and evaluate

A: Given function is fx=x+xlnx. We have to evaluate f2 by using the third Taylor polynomial P3x for…

Q: A Cupcake recipe calls for 3 cups of milk for every 30 cupcakes made. How many cups of milk are…

A: We want to find total cups of milk required to make 90 cupcakes.

Q: an In each of the equation below, find equation! a) P+3=e rectangular coordinates. b) r-2 = 3 cso

A:

Q: Consider the circle C : r = 4, and the limaçon C2 :r = 3 – 2sin0. Note that both Cị and C2 are…

A: To get point of intersection solve both equation for r and θ Arc length in the interval α≤θ≤β…

Q: Use the triangle in the illustration for the exercise. B 70.0 m 35.0 m A 61.0 m Find tan(A). (Round…

A: Solution

Q: Suppose S = {1, 2, 3} T = { 1, 3, 5, 7} 28. S = {x|x & S and x & T} = 29. S = {x|x€ S or x ε T} =…

A:

Q: 3 3 11 А %3D 1 3 1 1 1 3 А

A:

Q: o solve ith the initial values y(0)=0 and solution get the solution, we assume nor B are solutions…

A: We have to solve the differential equations.

Q: Use forward-difference y = cot (x) at x = using a value of h = 2√2 7 O2(√2-2) म 00 2√/2 म formula to…

A: Given function is y=cotx. We have to evaluate the first derivative of  y=cotx at x=π2 and using a…

Q: Prove by the pick-a-point method: (HA) (UB) (HC) AS (AUC) n(AUB)

A:

Q: 4 Solve the following initial-value problem. + 7y=u₂(t), So u₂(t) 1 Recall that = y(0) = = 3 ift 2.

A:

Q: 21. Differentiate. f(x) = sin(cosh x)

A:

Q: 12. Use the given graph of f'(x) to determine the following: Estimate values as necessary. 5 10 0 -5…

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

Q: Find the average value of f(x,y) = x² + y² over the region R: rectangle with vertices (0,0), (2,0),…

A: Find the average value of fx, y=x2+y2 over the rectangular region with vertices 0, 0, 2, 0, 2, 2 and…

Q: O Sarah plans to contribute monthly to a savings account for her daughter's coll goal is $300,000 in…

A: The future value is calculated using the formula  Future value FV=C1+in-1i where i is the interest…