You should have some experience with many of these topics in your mathematical background. Understanding these fundamentals will give us a firm foundation for things to follow. Naturally, you are permitted and encouraged to do some web browsing to be sure that the information in your post is correct. Each student has a different question to answer so check out what has already been done by others before proceeding. Be sure to include:
A. AN EXACT COPY OF YOUR QUESTION to begin your post so that others better understand what you are trying to do.
B. Fully answer the given question for maximum credit by WEDNESDAY 11:55 pm.
C. All topics should include a graph illustrating your problem along with key points and values identified. Just arbitrarily select values that meet the given condition for your example and graph. One free graphing tool attached
D. A list of at least one internet resource as CLICK-ABLE urls by using the heading icon that looks like the earth with a chain.
E. When all done, post a reply to at least TWO OTHER STUDENTS'' WORK!
Although we know five common forms of LINEAR equations, less used items are some of the following:
A] Standard form
B] Intercept form, also called TWO INTERCEPT FORM or double intercept form.
C] Parametric form
D] Two point form
E] Symmetric equation
F] Polar form thru the pole
For a system of linear functions of your choice, illustrate how to solve your system. Include a graph indicating the point of intersection if there is one and all key points:
G] Create a system of two linear equations that are DEPENDENT.
H] Create a system of two linear equations that are INCONSISTENT.
I] Create a system of two linear equations that are INDEPENDENT.
J] Using the quadratic formula, write down the two answers all in terms of a,b, and c. Add the two answers together to derive the SUM of the roots of any Quadratic equation.
K] Using the quadratic formula, write down the two answers all in terms of a,b, and c. Multiply the two answers together to derive the PRODUCT of the roots of any Quadratic equation.
L] Write down Pascal''s triangle for n=0 down to n=5. List along side of it the corresponding expression and expansion of (a+b)n.
M] Write the formula for finding the last term of an Arithmetic Progression in terms of a,d,l and n. Find the fifteenth term of the arithmetic progression 10, 8 2/3, 7 1/3, 6, ...
N] Write two formulas for finding the sum of the first n terms of an Arithmetic Progression in terms of a, l, n and s; and then in terms of a,d,n, and s. Find the sum of the first fifteen terms of the arithmetic progression 10, 8 2/3, 7 1/3, 6, ...
O] Write the formula for finding the arithmetic mean between any two terms of an arithmetic sequence. Use your formula to insert seven arithmetic means between -2 and 4.
P] Write the formula for finding the nth term of an Geometric Progression in terms of a,l n and r. Use your formula to find the tenth term of the geometric progression -4, 2, -1, 1/2, ...
Q] Write the formula for sum of the first n terms of a Geometric Progression in terms of a, n, r and s. Use your formula to find the sum of the first five terms of the geometric progression with a common ratio of 2 and whose last or 5th term is -48.
R] Consider the sum of a geometric progression...
a + ar + ar2 + ... + arn-1 + ..., where a is the first term, the common ratio, r = second term/first term, is less than 1 and the sequence continues indefinitely. The sum of all the terms is given by
After identifying the value of a, and calculating r, the common ratio, calculate sn.
2 + 4/3 +8/9 + ...
S] Consider the sum of a geometric progression...
a + ar + ar2 + ... + arn-1 + ..., where a is the first term, the common ratio, r = second term/first term, is less than 1 and the sequence continues indefinitely. The sum of all the terms is given by
After identifying the value of a, and calculating r, the common, calculate sn.
0.3+ 0.027 + 0.00027 + ...
T] Summation Notation...means to substitute k=1, then k=2...end with k=n. Add them all up. First write what it means, second find the final sum for:
U] Summation Notation...means to substitute k=1, then k=2...end with k=n. Add them all up. First write what it means, second find the final sum for:
V] Summation Notation...means to substitute k=1, then k=2...end with k=n. Add them all up. First write what it means, second find the final sum for:
Attachment:- Graphing tool.rar