# Math problems (simple calculus) - Assignment Example

Summary
Use the derivative to identify the open intervals on which the function is increasing or decreasing. Verify your result with the graph of the function. (If you need to use or –, enter INFINITY or –INFINITY, respectively. Enter NONE in any unused answer blanks.)
4. Use…

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Download file to see previous pages to 11 P.M. assembling mechanical components. The number N of components assembled after t hours is given by the function below. At what time is the student assembling components at the greatest rate? (please give all answers ...Download file to see next pagesRead More
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### Calculus

...The Calculus In its existence and approach, Calculus attempts to explore the grounds for the undefined nature of a function and designates a sensible understanding about up to which extent it would exist considering assumptions or applicable conditions. As in the rest of the significant fields in Mathematics, Calculus intellectuals had professed to work with a base knowledge of other math areas such as algebra and trigonometry to lay foundations and build on definitions, postulates, and theorems in conveying the purpose of the course and attain to its end thereafter. During elementary level of math education, one merely learns that divisibility by zero...
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### Math problems

...to simply as a theory of quantum gravity . There are two reasons why we still have not got such a theory. First, there is practically no experimental data on the interplay of gravity and quantum physics, because gravity is so weak at the level of individual particles. The second problem is a conceptual one. that the quantum physics of atoms involves uncertain velocities and positions for the electrons. In a quantum theory of gravity, somehow the notions of space and time themselves would have to become uncertain. In non-gravitational quantum physics you cannot be sure exactly what you will measure, here and now, or there and then. In a quantum theory of gravity, you would be unsure of what here and now, or there and...
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### Math Problems

... Find the least integer n for which pn(2) approximates f(2) with three decimal place accuracy From f(a+h) approximately f(a)+h f(a) When h is small enough in terms of value of f(a) and f(a) it is possible to approximate the value of f (a+h) For this case let approximate the value Of 2.1 Therefore 2.1 can be expressed as 2.1 = 2+ h where h = 0.1 Assuming f(x) =x Then f1(x) =1/2x Therefore ,by linear approximation formula x+h= x +h/2x And then 2.1=2+0.1/22= 2.1=2+0.035 =1.4495 Use Tylor polynomials to estimate the following to within 0.01 e0.8 ex = 1 + x + x2 + x3 +..+ xn 2 3 n e0.8 = 1 + 0.8 + 0.82 + 0.83 + . + 0.8n 2 3 n =1 + 0.8 + 0.82... Find the...
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### Math Problems

...Math Problems The standard equation of ellipse is: (x-h)2 a2 = (y-k)2 b2 Because the center of the Ellipse is at the origin, h and k equals to 0. Because major axis lies on the x-axis, a equals to 1048ft/2 = 524 ft. Because minor axis lies on the y-axis, b equals to 898ft/2 = 449 ft. Therefore, the equation of the Ellipse looks like: (x)2 / 5242 = (y)2 / 4492 2. In order to find the principal and the rate, a system of two equations should be solved. One equation describes the return of the household before the change in principal and interest rate, the other - after the change, as shown below: P * (1 + r) = P + 7.5 (P + 25) * (1+ r - 0.01) = P +25 +7.5, where P is the initial investment and r is the...
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### Math Problems

...Part B This portion of the exam encompasses three major topics of the that were covered in the normal Part B of the Final exam for the onlinecourse. Complete all requirements for each problem and submit your work by email in a Word document no later than 6 PM (PST), Mar 21. 1. Presented are the 2008 and 2009 functional income statements of Regional Distribution, Inc.: 2008 2009 Sales \$5,200,000 \$5,000,000 Expenses Cost of Goods Sold \$4,140,000 \$3,750,000 Shipping 215,400 200,000 Sales Processing 52,500 50,000 Customer Service 120,000 100,000 Depreciation 80,000 80,000 Administration 250,000 (4,857,900) 250,000 (4,430,000) Before-tax Profit 662,100 342,100 570,000 Income Tax (40%) (264840) (228,000) After-tax...
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### Math problems

...Axia College Material Appendix E Fueling Up Motorists often complain about rising gas prices. Some motorists purchase fuel-efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. Imagine you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation... College...
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### Logarithms math problems

...Problems on Logarithms Please answer logarithmic Notation math problems Write the equations in logarithmic form. (Enter the logarithm function in the form log a(b).) 5 = log 3 243 1 3 = log 10 1000 2 p = log m n 2: Use the definition of logarithm to simplify each expression. 1 2 3 3: Solve the exponential equation. Give the exact value for x. (Express all logarithmic functions in terms of ln(x) in your answer.) x = ln (10) 1 x = ln (1.6) 2 x = ln (36.8) 4: Evaluate the given expressions (to two decimal places). 1 2 3 5: Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). = 1 6: ...
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### Pre Calculus

...Pre Calculus Part 1. The Product Rule Solutions The derivative of f(x) = g(x) h(x) is given by f (x) = g(x)h (x) + h(x) g (x) (Larson, 2012). a. f(X) = (7X + X-1)*(3X + X2) Let g(x) = (7X + X-1) and h(X) = (3X + X2) Therefore, f (X) = (7X + X-1) (3 + 2X) + (3X + X2) (7 -X-2) = 21x + 14x2 + 3x-1 + 2 + 21x – 3x -2 + 7x2 – 1 f (X) = 42x + 21x2 +3x-1 -3x -2 +1 b. . f(X) = (X0.5)*(5-X) Let g(x) = (X0.5) and h(x) = (5-x) f (x) = (x1/2) (1) + (5-x) (1/2x -1/2) f (x) = x1/2 + 2.5x -1/2 – x3/2 c. f(X) = (X3 + X4)*(50 + X2) Let g(x) = (X3 + X4) and h(x) = (50+x2) Therefore, f (X) = (X3 + X4) (2x) + (50 + x2) (3x2 + 4x3) = 2x4 + 2x5 + 150x2 + 200x3 + 3x4 +4x5 f (X) = 5 x4 + 6 x5 + 150x2 + 200x3 2. Use the Chain Rule to find...
2 Pages(500 words)Assignment

### Math Problems

...Math Problems Math Problems Q The target capital structure for QM Industries is 36% common stock, 8% preferred stock, and 56% debt. If the cost of common equity for firm 17.4%, the cost of preferred stock is 10.1%, the before-tax cost of debt is 7.4%, and the firm’s tax rate is 35%, what is QM’s weighted average cost of capital (WACC)? (Joshi, 2003) Where: Re = cost of equity = 17.4 Rd = cost of debt = 56 E = market value of the firms equity = 35 D = market value of the firms debt = 8 V = E + D = 43 E/V = percentage of financing that is equity = 10.1/43 D/V = percentage of financing that is debt = 7.4/43 ( WACC = (17.4/43)*10.1 + (7.4/43)*56*(1 – 1/8) 4.0870 + 9.6372*(1-...
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### Calculus

..., while other factions advocated for Newton, citing his earlier discovery of the Principles of Calculus. Luckily, after both ideas were consolidated years later, Calculus was formed. It then began to be used to solve scientific conundrums that had puzzled scientists for a long time. Some of the problems that were solved include:- a. Determining the absolute and relative extrema- minima and maxima. b. Calculating the acceleration and velocity of an object when one is given a function that describes its position. c. Determining the slope when given the tangent line to a curve from any point found on its length. d. Determining the volume, surface area and arc lengths of solids. e. Designing...
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