Answered: The sales of a plastic widget were…

The sales of a plastic widget were estimated to be: P(t) = 6000 t e−0.1t where t is in weeks, and P(t) is in units per week. How many widgets were sold in the first 4 weeks?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

See similar textbooks

Related questions

Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

Q: An analyst find the data that the cost of 10 heaters is $ 2900 while the cost of 15 heaters is $…

A: Please see the below picture for detailed solution.

Q: Use differentials (or equivalently, a linear approximation) to approximate sin(56°) as follows: Let…

Q: Hello, how did you find 0 and -1 to be the values of r and t? Also where do you plug the numbers…

A: Determine the X intercept of the plane [x, y, z]= [3, 1, 3]+ r[1, 1, -1]+ t[0, 1, 3]

Q: Find the volume of the region bounded above by the surface z = 2 - y² and below by the rectangle R:…

Q: Find parametric equations for the line through the point (6,7,5) and parallel to the line: x-3/-2 =…

Q: Obtain the particular solution satisfying the initial conditions indicated. 2. (t²-x)dt - tdx = 0;…

A: The solution is shown below-

Q: en: y = u² - 2u¹ and u = x + √x. Find when x = 9.

Q: Find the surface area of revolution about the 2x + 2 over the interval x-axis of y 1 < x < 4.

A: y=2x+2, 1≤x≤4 Differentiating with respect to x, we get dydx=21+0=2

Q: Assume that x=x(t) and y=y(t). Find dx/dt, using the following information. x^2+y^2=0.73: dy/dx=-2…

A: x2+y2=0.73given dydt=-2x=-0.3y=0.8d dx(xn)=nxn-1

Q: x(x² + y²)² (ydx − xdy) + yºdy = 0 - -

Q: The safe load, Z, of a wooden beam supported at both ends varies jointly as the width, w, and the…

A: Terminology Load = L width = w length = l depth = d

Q: Use the following three identities to evaluate S sin sx cos tx = sin sx sin tx = cos sx cos tx = ·S=…

Q: Find the equation for the tangent plane to the surface z = 9x² - 6y² at the point (2, 1, 30). OA.…

Q: Find the distance from the point (4,-4,-5) to the line a(t) = (3, 1, − 4)t + (9,- 5,3)

A: Given equation of line:- a→t=3,1,-4t+9,-5,3

Q: Determine if Rolle's Theorem can be ap plied to r²+3r-18 x+9 f(x) = on the interval [-6, 3), and if…

Q: Evaluate the integral. S² (6ti - t³j+ 2t³k) dt

A: B=∫02(6ti-t3j+2t3k)dt∫tndt=tn+1n+1+c

Q: Solve the given differential equation. 5ydx-5xdy + xdx=9dx

A: 5ydx-5xdy+x7dx=9dxwe know d(yx)=xdy-ydxx2∫xndx=xn+1n+1+c

Q: For y = f(x) = 3x -1, x = 4, and Ax = 2 find a) Ay for the given x and Ax values, b) dy = f'(x)dx,…

A: according to bartleby policy we do only first part of multiple questions (1) f(x)=3x-1given x=4…

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

Q: Let (5,2,2). P-(1.-2,0). A=(4,3,0) be points in R³. Find the general equation of the plane P in R³…

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + 5y², Po(-4,1),…

Q: Evaluate the integral. 37 sec 37 sec -2x tan ³x dx

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A: f(x,y)=5-4x+6y-3x2y∂ ∂x(xn)=nxn-1∂ ∂x(constnat)=0

Q: volume of the solid formed when the region bounded by y = x and y = = x¹ is rotated about the…

Q: You are designing a 1152 cm³ right circular cylindrical can whose manufacture will take waste into…

A: We use the differentiation method to find the required ratio

Q: Given f(x, y) = 4x5 - 3xy¹ + 2y³, find the following numerical values: fr(2,4)= fy(2, 4) = Question…

Q: Hi, Can you be so

Q: A student decides she wants to save money to buy a used car, which costs $2600. She comes up with…

A: Please find the solution as per Bartleby guidelines

Q: Instagram has a revenue function of R(q) = 5q 2 − 10q+ 600 and a cost function of C(q) = 3q 2 + 200,…

A: Note: As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: A rectangular storage container without a lid is to have a volume of 10 m³. The length of its base…

A: Given volume ( v ) = 10m3 let length = l width = w height = h

Q: Find the area of the surface obtained by rotating the curvey = 4x³ from x = 0 to x = 1 about the…

Q: S (3-3sin2x)dx sec2x(cosx−sinx)

Q: Consider the following vector function.. r(t) = (2√2t, e²t, e-2t) (a) Find the unit tangent and unit…

Q: Evaluate the limit sin 2x 8x lim x→0

Q: A car rental agency has a budget of $3.2 million to purchase at most 120 new cars. The agency will…

A: We can solve it as given below

Q: Evaluate the iterated integral. 5 2x x-2 S S S dz dy dx -2 0 y

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

Q: Air Purification During testing of a certain brand of air purifier, the amount of smoke remaining…

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y =…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: We have to find the volume of the solid by rotating the region in the firs qudrant bounded by the…

Q: 4. Find y if ((2x+7)dx x +4x+8 I = -1 tan y + C In|x² + 4x + 8 + 1⁄2 ta

Q: b) Determine the intervals on which fis increasing or decreasing. Then find the local maximum and…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

A: We solve the problem step by step

Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 3 and 8 using…

A: Let h be the height of the pyramid, and l and w be the length and width of the pyramid. Note that,…

Q: [4-R] [CLO 15] Let f : R → Rx ↦ x2. That is, is defined by the formula f (x) =x2. Give a formula…

A: The given function is: fx=x2

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. √84 What is the value…

Q: -1 If ƒ(x) is a positive 1-1 function with inverse ƒ−¹(x) with f(a) = c and ƒ(b) = d then d π ñ ["°*…

Question

The sales of a plastic widget were estimated to be:

P(t) = 6000 t e^−0.1t

where t is in weeks, and P(t) is in units per week.

How many widgets were sold in the first 4 weeks?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?