The marginal cost function for the manufacture of wireless headphones is given by C'(x) = 30 - 60 where x is the number of headphones manufactured. Use a Riemann sum with n = 5 to estimate the cost of producing the first 5 headphones. HINT [See Examples1 and 2.] (Round your answer to two decimal places. Use a left Riemann sum to find your answer.)

Q: : a very large tank initially contains 15 gallons of saltwater Recall the salty tank containing 6…

A: Let S be the amount of salt and t be the time. Tank A: The rate of salt entering the tank will be,…

Q: Choose True if the statement is correct, otherwise False. If an integration process produces a…

A: If an integration process produces a constant number, it cannot be added with the constant of…

Q: of two observat

A: Let the Geometric mean of two observations is  1n. GM=1nHM To prove that  (1+1-n²) :(1-1- n²)

Q: A culture of yeast grows at a rate proportional to its size. If the initial population is 4000 cells…

A: Let's find.

Q: If the revenue function for a certain commodity is R(x) = 45x/lnx compute the marginal revenue when…

A:

Q: Suppose that an object moving along a straight line path has its velocity in feet per second at time…

A: Given :  Velocity as a function of time , v(t) = 29t-32+2 . To find : Displacement ∆x Solution:  Let…

Q: Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and water…

A: Given- Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and…

Q: Find an approximate value for x (to 2 decimal places) if 5=(3lnx) - (lnx/2) . Find y'' if y =…

A:

Q: For which values of the lower limit of integration a is the following integral convergent. 1 dx 4x…

A: Here the limits of the integral are finite. So, the integral will be convergent if its value is a…

Q: 2. The rate at which the total average of COVID cases is dz increasing at r = 10 tents and than if…

A: If 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average…

Q: Find the value of the constant C for which the integral C x2 + 1 dx 3x + 1 converges. Evaluate the…

A:

Q: The radius of a circular disk is measured and found to be 20cm, with a max error in measurement of…

A:

Q: Assume that it costs a company approximately C(x) = 529,000 + 160x + 0.001x2 dollars to manufacture…

A:

Q: 5) Approximate x²-1|dx with a right-endpoint Riemann sum using four equal subintervals.

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

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A:

Q: Tank A contains 274 litres of brine holding 123 N of dissolved salt, and tank B contains 274 litres…

A:

Q: Suppose that the marginal propensity to save is SP = 0.1 - dy (in billions of dollars) 7y + 2 and…

A: Given: The marginal propensity is The consumption is $ 7 billion and the disposable income is $ 0

Q: A soft ball is thrown up vertically in the air at to = Os from an initial height of 15m and with an…

A: The formula for the motion of the object with variable velocity and constant acceleration is . Here,…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A:

Q: The rate at which the total average of COVID cases is dx increasing at x = 10 tents and 1 tent per…

A: Given,    no. of tent = 25 ,  average no. of cases=6

Q: A body of an unknown temperature is placed in a room which is held at a constant temperature of 30 .…

A: Given that, A body of an unknown temperature is placed in a room which is held at a constant…

Q: What do you mean  by Stirling's Approximation ?

A: Query- What do you mean  by Stirling's Approximation ? Answer-  Stirling's approximation. Stirling's…

Q: Use Euler's method to calculate the first three approximations to the given initial value problem…

A: answer of given question is in step 2

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional te…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipes as shown in…

A: Let x(t) and y(t) be the mass of salt in tanks T1 and T2 respectively. Fresh water follows into tank…

Q: 4. Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is…

A: Given data:-

Q: 2. The liquid base of an ice cream has an initial temperature of 210°F before it is placed in a…

A: Given : The liquid base of an ice cream has an initial temperature of    To find at what time will…

Q: 2) A tank, which has a capacity of 100 L, is initially half full of a solution that contains 50g of…

A:

Q: .5 Estimate the middle Riemann sum for 1 dx (n= 4). 3 1-lnx

A:

Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

A:

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° +0.07x + 14x +…

A:

Q: A radioactive element is known to decay at a rate proportional to its present mass. Initially, there…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Suppose that a car accelerates at a rate of a(t) = t – 7 meters per second. Use the Fundamental…

A: ANSWER :

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of              f(x)…

A: The Newton Raphson method is used to solve an equation numerically. When the extremum of a function…

Q: 3. Find the exact solution of the definite integral and approximate to 4 decimal places. 3x2

A:

Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an  initial…

A:

Q: Use differentials to estimate the maximum error in the volume of a rectangular box with square base…

A: Here we find the error in volume by using differential.

Q: Suppose that a car starts from rest, its engine providing an acceleration of 10 ft/s2, while air…

A:

Q: The rate at which the total average of COVID cases is dx increasing at x = 10 tents and = 1 tent per…

A:

Q: Match the graph with the first order differential

A: In this question we will use basic concepts of calculus i.e graphing of differential equation.…

Q: Jesaki Inc will sell N units of product after spending $a thousand in advertising, as given by N=71…

A: Take the derivative both sides and substitute the values then simplify.

Q: Suppose that the marginal propensity to consume is dC -0.2y = 0.8 - e dy (in billions of dollars)

A:

Q: Consider the IVP: x" + (x')2 + 4tx = 0, x(0) = 1, x'(0) = 2 %3D Using the Euler method with a time…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: The decay rate is proportional to the amount present. So, dNdt=-λN⇒dNN=-λdt⇒∫dNN=-λ∫dt+C⇒ln…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Image is attached with detailed solution.

Q: 2. The rate at which the total average of COVID cases is dx = 1 tent per day, given dt increasing at…

A: Given,  number of tents= 20 and average number of cases will be 5

Q: Does fn converges to L1 and L2 i.e the distance between fn and f goes to 0

A: By the theorem: A metric  on BE is the uniform metric du  . A sequence of bounded functions fn:E→ℝ…

Q: As N increases, what happens to the critical value (assume that alpha is .05)?     It does not…

A: Given that When N increases, what happens to the critical value (assume that alpha is .05)

Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an initial…

A: please comment if you need clarification. if you find my answer useful put thumbs up. Thank you.