## CHECK THESE SAMPLES OF Math problems (simple 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...

2 Pages(500 words)Essay

...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...

6 Pages(1500 words)Essay

... 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...

2 Pages(500 words)Essay

...**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...

2 Pages(500 words)Essay

...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...

6 Pages(1500 words)Speech or Presentation

...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...

1 Pages(250 words)Speech or Presentation

...**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: ...

2 Pages(500 words)Assignment

...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** 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-...

2 Pages(500 words)Speech or Presentation

..., 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...

2 Pages(500 words)Coursework