Blog Post#12

When we think of school from the time it began we think the three main courses: Reading, Writing, and Arithmetic (Mathematics). As time progress the listed subjects have remained along with a few others. Of all the subjects, I believe many have looked at Mathematics to be the most difficult of the subjects and many resources have been created to help ease the learning of it. This assignment is to show you that there are numerous means of help that can be found around you as well as through technology.

In this assignment you will be given 5 problems to complete according to its subject. You are to find the answer for each given problem. If you need help completing any of the problems refer to Math Websites Hotlist where you will see many sites pertaining to these following subjects listed. Once you have found the answers explain in complete sentences of how you came to that conclusion, and give the site name in which you used to complete the problem, if you used one. On the right of the problem is listed the Mathematics Course and type of problem.

1. Algebra Simple Equations: 2y + 4y= 18, Find y=?

2. Geometry Pythagorean Theorem: Use the Pythagorean Theorem to find the missing side.

3. Algebra 2 Factorization: 〖8x〗^2-10x+3, Factor the equation to its furthest point.

4. Calculus Chain Rule: h(x)=√(x^3+1), Apply the Chain Rule to the following.

5. Calculus Trigonometry: π/2, Convert the radian measure to degrees.

Even if you do not choose any of the sites, I recommend that you do look through a few of them if not all; it could be beneficial to your future Mathematics abilities.

Blog Post Assignment 1:

1. 2y + 4y= 18, Answer: y=3. First add the like terms together 2y +4y= 6y. We now have 6y=18. Next, divide 6 by both sides which will give you y=3. Hippocampus.org

2. Answer: C= 5 By using the Pythagorean Theorem we know that A^2 + B^2= C^2. First we plug in the given values equal to the corresponding letters 4^2 + 9^2. We now have the following: 25=C^2. By taking the square root of both sides we find that C=5 Hippocampus.org

3. 〖8x〗^2-10x+3, Answer: (4x – 1)(2x – 3) We know that the values that give us eight are 1,8, 2 and 4. Of these we have choose the correct two to find the answer. I chose 2 and 4 because I need to try and get the value -10x as my Bx in the problem. I then choose 1 and 3 as the other two values to finish my problem, thus giving me my answer (4x - 1)(2x - 3).

4. h(x)=√(x^3+1), Answer: h'(x)=1/2(〖x^3+1)〗^((-1)/2) × 〖3x〗^2 The Chain Rule says to multiply the the outer derivative evaluated at the inner function by the inner derivative. With that being said I separate the values as follows: g(x)= x^3+1 with its derivative being 3x^2; f(u)= √u with its derivative being 1/2u^(-1/2). Now that these values I can use them to find my answer according to the Chain Rule definition we find that h'(x)=
1/2(〖x^3+1)〗^((-1)/2) × 〖3x〗^2

5. π/2, Answer: 90° First set the equation π/2 equal to (180°)/π. By doing so you should retrieve (180°)/2 which equals 90° Khan Academy