Explore BrainMass
Share

Derivatives

Cowling's rule

Cowling rule is another method for determining the dosage of a drug to prescribed to a child. For this rule, the formula d=D(a+1) ------ 24 gives the child's dosage d, Where D is the adult dosage and a is the age of the child in years. If the adult dosage of a drug is 600 milligrams and a doctor uses this formula to

Applications of the Derivative

Please see the attached file for the fully formatted problems. For the function y= sq root (x2 - 9) (i) Find the slope of the tangent line to the function at the point (5, 4). (ii) Find the equation of the normal line at the point (5, 4). 2. A ladder 10 m long rests on horizontal ground and leans against a vertical wal

Market Share Analysis

This table presents units sold and market share data for the Personal Computers Industry (first figure for each company is units, second is revenue). E-Top--10,000--7,500,000 CompEZ--15,000--12,000,000 BEST--2,000--1,700,000 Moonwalk--8,000--8,000,000 CompBrain--8,000--12,000,000 Market Total--43,000 units--41,200,000

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

Rules of exponential function

Please see the attached file for full description. Post a response to the following: Explain three rules for exponents listed in the chart on p.239 (section 4.2). Do not explain the first two definitions listed in the table (Exponent of 1 or 0). Create an expression for your classmates to solve that uses scientific notation a

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

Finding Directional Derivatives

Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k

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

Derivatives: Temperature of a Reaction

The temperature of a chemical reaction is given by the formula: T(t) = 8e-0.3(t-2)^2 + 7, where T is the temperature and t is the time in seconds since the reaction was started. a) Draw a neat graph showing the reaction temperature during the first eight seconds of the reaction. b) What is the maximum temperature reached dur

Derivatives and Asymptotes

Please see the attached file for full problem description. 1. Does the graph of a function have a horizontal asymptote? If the answer is positive, find the equation of the asymptote 2. Find , when 3. Find the derivative of 4. Find the derivative of using the definition of the derivative 5. Find the antid

Find the derivative of the function.

See the attached file. Find the derivative of the function. Find the derivative of the function. f(x) = (2 - e-6x)9 Find the derivative of the function. f(s) = (s9 + 1)e-s9 Find the derivative of the function.

Derivatives

Please see the attached file. Use the following equation to find ∂z/∂x and ∂z/∂y.

Forward Difference, Central Difference and Extrapolation

The attached Word document contains all three requested solutions. The problems employ Forward Difference and Central Difference formulas to estimate f'(x) and f''(x). Please see the attached file for the fully formatted problems.

Functions and derivatives

Please help me with steps. Please see the attached file. Thanks in advance 1. Does there exist a differentiable function f so that f(-3) = -2, f(1) = -6, and f ' (x) > 0 for all x? 2. Find all numbers c in the interval (1,2) that satisfy the conclusion of the mean-value theorem. 3. Give the values of x for which 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...

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