A company sells umbrellas. Suppose that the number, r, of umbrellas that are sold per week is related to the price, p (in dollars), that is char to the equation: P (1) = 25 – 0.5æ where 0

Q: A steel ball weighing 2 lb is dropped from a height of 3000 ft with no velocity. As it falls, the…

A: Locate the coordinate system with ground x = 3000 , w = 2lb  , k = 1/8 Assuming g is 32 ft/s W =…

Q: the estimate of solution to x=2^-x to 4 decimal places is what?

A:

Q: If total revenue is R = 50Q - 2Q2. At what value of Q will marginal revenue be 18?

A: Value of Q

Q: 12)Estimate rio by using a linear approximation at aこ 9. timi

A:

Q: A car wash firm calculates that its daily profit (in dollars) depends on the number n of workers it…

A: Given: A car wash firm calculates its daily profit in the formula of P=400n-0.5n2 To find the…

Q: The side of an equilateral triangle is increasing at a rate of 2 m/sec, then the rate at which its…

A:

Q: A park ranger is searching for bears in a region of the park where on average there are 12 bears per…

A: Introduction: It is given that there are 12 bears per square mile of the park. Further, the number…

Q: If the volume of a cube is decreasing at a rate of 24 in sec, then find the rate at which the length…

A:

Q: A rectangular box has its height increasing at a rate of 1m/s while its volume is decreasing at a…

A: We have to find the  rate of change of length.

Q: .A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A:

Q: The FlowStop Company determines that the marginal cost for the new line of faucet is given by (i)…

A: Solution

Q: 4. Use differential to estimate v15. (3 points total)

A:

Q: A substance evaporates at a rate proportional to the exposed surface. If a sphericalmothball of…

A: The rate of evaporation is proportional to the exposed surface, and the exposed surface is that of a…

Q: Use Euler's Method with an appropriate h value of your choosing to estimate y(4) with y = 0.5, y (1)…

A: Topic- Differential Equation

Q: Use linear approximation to approximate the value of In(20) without the need for a calculator. Up to…

A: Given:      Linear approximation of ln (20)

Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 4 m, at what…

A:

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

A:

Q: A vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter…

A: Given: A drum of length : 5m The drum has a cross section of isosceles trapezoid with length of…

Q: Approximate the length of the curve using n secant lines for n = 2; n = 4.y=ln x, 1>=x>=3

A: We have been given a curve y=lnx and we are supposed to approximate the length of this curve between…

Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: pherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At…

A: The radius of the balloon decreases at the rate of =15 cm/min let radius of balloon =r then…

Q: A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the…

A:

Q: The radius of a star(spherical) was r=a and was observed to increase by 0.01%. Use a linear…

A: Given data is : Radius(r) of a star (spherical) is increase by 0.01% To find the percentage of…

Q: A liquid solution is passing thru a conical filter 2 feet deep and 4/3 feet across the top, into a…

A: We have to find the rate at which the level of the solution in the cylinder rising.

Q: Solve for average value of the function within interval [0,20]

A:

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

A: Given: when the initial time t=0 amount of the cane sugar is 75 kg, and the time t=30 minutes amount…

Q: A company estimates that the marginal cost (in dollars per item) of producing x items is C'(x)= 1.99…

A:

Q: 9. The surface area of a cylinder is A = 2h+2². If the radius is measured to be 6 inches with a max…

A: Given, Surface area of cylinder, A=2πrh+2πr2 Given radius r=6in with maximum possible error dr =…

Q: Use differentials to estimate the amount of paint needed (in m^3) to apply a coat of paint 0.04 cm…

A: Given that     A hemispherical dome with diameter 56m. Here we have to use the differentials to…

Q: The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x = 1 m, at what…

A:

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(

A:

Q: Suppose that the value of a yacht in dollars after t years of use is -0,24t What is the average…

A: Given:- Suppose that the value of a yacht in dollars after t years of use is  V(t) = 150000e-0.24t…

Q: 30. Based on the R output, the most appropriate coefficient to describe the relationship between…

A: The R-output of Pearson's correlation and Spearman's correlation is given.

Q: A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the…

A:

Q: The side of an equilateral triangle is increasing at a rate of 3 m/sec, then the rate at which its…

A: Let the side of an equilateral triangle be x cm.∴ Area of equilateral triangle, A = √3/4x2…

Q: At a certain factory, the marginal cost is 3(q - 4)2 dollars per unit when the level of production…

A: Consider the given marginal cost function as M(q) = 3(q-4)2 Let C(q) denote the total cost of…

Q: The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x = 4 m, at what…

A: As Given :                   The length x of Cube decrease at a rate of 2 m/min.…

Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A:

Q: Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and…

A:

Q: The marginal cost function for the manufacture of wireless headphones is given by: C0(x) = 20 −x200…

A:

Q: A tank originally contains 385 litres of brine holding 470 N of dissolved salt. Eight litres/min of…

A: We will find out the required solution.

Q: ·A machine is assumed to depreciate at the rate of 35.5% p.a. in valuc in the first year, a 22.5%…

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: 4 mm/s when these three sides are 5cm, 4 cm sides x, y and z increase at 6 mm/s, 5 mm/s and Fig.…

A: we have to find rate of change of AC.

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

A:

Q: Let’s assume that in Kansas, a family farmer sells wheat in a perfectly competitive market. After…

A: Given After increasing the production of wheat from 220 bushels to 240 bushels, the total revenue of…

Q: A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a…

A: Find the sum of volume of the wine and ice cube and compare with the total volume of the conical…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (1.97) =

A:

Q: - Show that the volume V of a regular tetrahedron, all of whose side lengths are s, is V = 2 (all…

A: