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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...

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 is in attachment) a) Use the date from the table to find an approximation for W'(12). Show the computations that lead to you

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 : 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

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 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

Solve: Decreasing Functions

Determine the intervals on which the function is increasing and intervals on which the function is decreasing. Check your answers by graphing the corresponding functions. - Please view the attachment for the rest of the solution. Question: Determine the intervals on which the function is increasing and intervals on whic

Solve: Derivatives, Chain Rule and Rate of Change

Please assist me with understanding the following questions: 1. A glider is flying along the line y = - (1/3)x + 100. Its horizontal shadow is moving at 10 m/s. How fast is the glider approaching the origin (0,0) at the time when it is located at (-30, 110)? 2. Boyle's Law states that when a sample of gas is compressed a

Implicit Differentiation Variables

Please help & please show step-by-step, thx, appreciate it. Below are notes my instructor gave for this assignment that are relative and important. The problems are below. There is 1 problem at the bottom of the page. Thank you. When differentiating keep in mind the variable with respect you differentiate. For example, the

Description of Cramer's rule

Solve the following linear system for x using Cramer's rule. Show work. x + 2y - 3z = -22 2x - 6y + 8z = 74 -x - 2y + 4z = 29

Local Extrema and Volume of a Solid of Revolution

Please see attached file for full problem description. The graph of the derivative of a function f is shown below. (a) Over what intervals is f(x) increasing? decreasing? Why? (b) At what x values does f(x) have a local maximum? Why? (c) At what x values does f(x) have a local minimum? Why? (d) Sketch a possible

Finding the first and second derivative.

Y= (1 + 1/x)^1/4 Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct? Now I need the 2nd derivative, I am completely lost on this. Please work out clearly.

Find derivatives

1- 4 Find derivatives. 1. d/dx(sinx + cosx + e^x) 2. d/dx(tanx - secx) 3. d/dx{secx9tanx + cosx)} 4. d/dx(cot x) sub|x=pi/4

Derivatives and Rates of Change

Please see the attached file for the fully formatted problems. 4. Go to a financial website (for exmaple, finance.google.com), pick your favorite stock. By denote the price at which the stock was exchanged at time where is measured in seconds from last Friday midday. What does mean? What does mean? Estimate the average rat

Find the Derivatives

Find the derivative of f(x) = (x^2 -1)^3 /(2x^2). Find the 12th derivative of f(x) = cos x.

Derivatives for Left-Handed Widget Manufacturing

See attached file for full problem description. The world's only manufacturer of left-handed widgets has determined that if q left handed widgets are manufactured and sold per year at price p, then the cost function is C = 8000 + 40q and the manufacturer's revenue function is R = pxq. The manufacturer also knows that the dema

Derivatives and Rate of Change : Drug Elimination Rate

Please do Part B. PROBLEM STATEMENT: The concentration in the blood resulting from a single dose of a drug decreases with time as the drug is eliminated from the body. In order to determine the exact pattern that the decrease follows, experiments are performed in which drug concentrations in the blood are measured at various