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Derivatives

first derivative and second derivative

Please see the attached file (word problems, inflection, critical points, and derivatives) 14. You run a small furniture business. You sign a deal with a customer to deliver up to 400 chairs, the exact number to be determined by the customer later. The price will be $90 per chair up to 300 chairs, and above 300, the price wil

Application of Derivatives of Function

(See full description in the attachment). 1. With a yearly rate of 3 percent, prices are described as P = P0 (1.03)^t, where P0 is the price in dollars when t = 0 and t is time in years. If P0 is 1.2, how fast are prices rising when t = 15? 2. The value of a car is falling 10 percent per year so that if C0 is the purchase p

Managerial Finance - Ratio Analysis for Walmart and Target

Hello, Please assist me with the following study for my exam. Evaluate each firm's financial performance for the two most recent years available by (1) performing financial ratio analysis using the Microsoft® Excel® Ratio Analysis Worksheet, (2) performing trend analysis on those financial ratios. Your analysis should in

Equations for modeling

1. Given the function M(t) = 2t3 - 3t2 - 36t, find the critical values and determine, using both the second derivative test and a sign chart, the nature of these values. 2. A projectile is launched with a velocity of 22 m/s at 50° to the ground. Determine its horizontal and vertical velocities. 3. Two trains start from th

Find the Max and Min. values attained by the function

I need the following problems worked out in Microsoft Word with equation editor. See the attached file. Thank you, Problem 1- Fig. 1.1 Find the Max and Min. values attained by the function (fig 1.1) on the interval [0,2] Problem 2- Fig. 2.1 A mass of clay with a volume (fig. 8.1) is formed into two cubes. W

Velocity and acceleration

The graph of the velocity v(t), in ft/sec, of a car traveling on a straight road, for 0 is greater than or equal to t is greater than or equal to 50, is shown in the attachment. A table of values for v(t), at 5 second intervals of time t, is also in the attachment. a.) During what intervals of time is the acceleration of the

With a yearly rate of 3 percent, prices are described as

1)With a yearly rate of 3 percent, prices are described as P = P0 (1.03)t, where P0 is the price in dollars when t = 0 and t is time in years. If P0 is 1.2, how fast are prices rising when t = 15? 2)The value of a car is falling 10 percent per year so that if C0 is the purchase price of the car in dollars, its value after t

Derivatives - Product, Chain Rules, Application type

Differentiate the following problems. Assume A, B and C are constant. Show all work. f(x)=2ex+x2 P=3t3+2et y=5*2x-5x+4 P(t)=12.41(0.94)t y=10x+10/x y=t2 + 5 ln t y=x2 + 4x - 3 ln x Solve the following problem and show work For the cost of function C = 1000 + 300 ln q (in dollars) find the cost and the

Functions, derivatives, and critical numbers

Please show me how to reach correct solutions. Please see the attached file. Thanks in advance, Find f(x), given that... Given that f is a differentiable function and the graph of its derivative is shown below, find the interval(s) in which f is decreasing. Find the critical numbers...

Verify Equation

See attached file. Verify that (6-85a) and (6-85b) are solutions to (6-84a). 6-84a: The partial derivative has been replaced by the ordinary derivative since is only a function of the radial coordinate. The differential equation 6-84a has two independent solutions 6-85a: 6-85b: Equation 6-85a represent

Derivatives and Rate of Change of Temperature

The temperature, in degrees Celsius, of the water in a pond is a differentiable function W of time t. The table below shows the water temperature as recorded every 3 days over a 15-day period. (chart in attachment) a.) Use the date from the table to find an approximation for W'(12). Show the computations that lead to your

Derivatives and Maximum Profit

3. Parcel Post A firm wishes to use the services of a parcel delivery company to transport a cylindrical package. The package has volume V=pr2l, where l is the length of the package in metres and r is the radius of the circular end in metres. The parcel delivery company will only transport parcels provided that the sum of the

Derivatives and Maximum Profit

2. DVD Player Company A DVD player company's weekly production costs, denoted by C , is given by the Expression C=4x2+10x+30 where x is the selling price of DVD players produced, in pounds. The number of DVD players sold each week is given by S= 400 -x and the weekly revenue is given by R = Sx . The weekly profit, P ,

Derivatives : Maximum and Minimum Values

5). The total cost of producing x radio sets per day is $ ( 1/4 x^2 + 35x + 25 ) and the price per set is at which they may be sold is $ ( 50 - 1/2x ). Find the daily output for maximum profit. Answer 10 sets /day 6). The cost of fuel in running a locomotive is proportional to the square of the speed and is $25/hr for a

Maximizing and Minimizing using Derivatives

2) A piece of paper for a poster contains 1000 cm^2. The margins at the top and bottom are 9cm and the side margins are 6 cm. What are the dimensions of the sheet if the printed area is to be a maximum. Answers 2root3 and 3root3 3) At 9am ship B was 65km due east of ship A. Ship B was then sailing west at 10km/h and A was s

Derivatives and Tangent Lines

3. Answer these questions. a. Find f'(x) where f(x)= 3x4 + 2 - b. Find the equation of the tangent line at x=1 for the function f(x) from part a. c. Find for y=2lnx+5x -2log3x

Derivatives and Extrema

For the function f(x)=(x)/(x^2+9) a) Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. b) Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents) *** I could really use some help on this one. Thanks :)

Avg. Rate of Change /Find Derivative /Instant Rate of Change

For the function f(x)=(3x)/(x+2) a. find the average rate of change from x=2 to x=5 b. find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h) c. use part b to find the rate of change of f(x) at x=2

Definition of the Derivative

Specifically, I want you to calculate each derivative using our limit formula: and 1. f(x) = 7 2. 3. 4. 5. 6. Assume and . Calculate the derivative of [ ].

Mean Value Theorem : Roots of Derivatives on an Interval

The function f (x) and all of its derivatives are continuous on [0, 10]. You know that f (0) = 0, f (2) = 0, f (3) = 0, f (6) = 0, and f (8) = 0. At how many points must the first derivative of f (x) be zero? At how many points must the second derivative of f (x) be zero? At how many points must the third derivative of f (x) b

Slope predictor function, derivative, maximization

Given f( x) = 2/x-1 , use the four step process to find a slope predictor function m(x). Then write an equation for the line tangent to the curve at the point x = 0. Find f'(x) given f (x) = 5x^3- 4x^2+ 3x- 2 / X^2 . A farmer has 480 meters of fencing. He wishes to enclose a rectangular plot of land and to divide

Derivatives and tangents

Use the definition of the derivative to find f '(x) given f(x)=^/¯x Write an equation of the line tangent to the curve at the point P(-1, 7). Express the answer in the form ax + by = c. y= 5/x^2-2/x^3 Write the equation of the line tangent to the curve at the point P where x = 4. Write the equation in the f

Minimizing Surface Area

A container company is going to construct a shipping container of volume 12 ft3 with a square bottom and a square top. The cost of the top and sides is $2 per square foot and for the bottom is $3 per square foot. What dimensions will minimize the cost of the container.

Fifth Derivative

Compute the fifth derivative of 1 / g(x). You can use Faa di Brunos formula if you wish.

Maximum and Minimum Values of Functions

The Association of Economists Least Likely to Win Any Awards (AELLWAA) was founded 20 years ago.... Find the maximum and minimum years of membership for the attached equation.

minimizing the average cost

A domestic auto producer is facing intense competition in the US market from Asian imports. The CFO decides that the solution is to produce at the point at which average cost is minimized, i.e. where TC/Q is at a minimum. The firm's cost structure is given by: TC={(1/3Q)^3}-{(100Q)^2}+20,000Q Calculate the average cost-min