Tag Archives: precalc

Income elasticity of demand

12 Jun

Income elasticity of demand is best defined as the receptiveness of the quantity demanded for a good or service in alteration to the income of the people demanding such goods or services.

A product that I consume on a daily basis is water. If the price of a water bottle went up and my income decrease I would stop buying water.

A product that people still buy regardless of its price would be the iPhones.

Name a product that people would still buy regardless if the prices increases or decreases?

 

 

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Reflection Before the Exam

12 Jun

Since the first exam I can say I learned many new things including, Logarithms, Rational functions, Exponential Functions, Composition of Function and Inverse Function. Other topics as well but I can not remember them. I feel as the new topics that we are learning are more complex. None of these ideas have really been a surprise just headaches. The deeper we go into more complex math, the more I am going to wileyplus to study, but it does not help much.

How do you feel about the class?

Sail Away!

12 Jun

As I moved the red dot around the circle the water tide rises and lowers. When the red dot is at the bottom of circle the water level is low and when it is at the top of the circle the water level is high. I traced the curve by moving the red dot along the circle.

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These are my attempts to trace sail boat 2 and 4. Hold the applause please. What boats did you trace?

Feel the Earth Shake

2 Jun

The Richter Scale is a base 10 logarithmic scale used to measure the strength of earthquakes. A 5.0 earthquake moves the Earth 10^5 microns.

So lets solve this 5x = 212

Since 212 is not a power of 5, then I will have to use logs to solve this equation. I could take base-5 log of each side, solve, and then apply the change-of-base formula, but I think I’d rather just use the natural log in the first place:

5x = 212

ln(5x) = ln(212)

x · ln(5) = ln(212)

x=ln(212)ln(5)x=ln(5)ln(212)

…or about 3.328, rounded to three decimal places.

How else can an earthquake be measured?

King Curry

23 May

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This is LaBron Gems and he is considered one of the best basketball player of all time. Lebron James has a 50.10% field goal percentage, which means out of the total shots he tried, he made 50% of them. In order for Bron to increase his ratio to 55%, he would not be able to reach it. As you can see there is an horizontal asymptote. The number of additional shots would be higher than 10,000,000 which is impossible for his lifetime.

Which player in the NBA do you think has a better field goal percentage than bron bron?

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Reflection

8 Apr

In this semester we’ve learned several topics such as linear functions, average rates of change and polynomial in the short-run and the long-run, exponential function, and quadratic functions. I don’t think pre-calculus has been much different than the math I learned in high school. Calculating the average rate of change was surprising to me because it was something new that I never learned. The most interesting idea was finding the roots. However the topic I had most trouble with was piecewise functions.

I think the idea Ill use the most is calculating the average rate of change. It is the change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph. Something I would like to go differently moving forward is having the professor teach more using the white board instead of desmos.

What do you want to do differently going forward?

Imagine All The Numbers

5 Apr

Complex does not mean complicated. A complex number is a combination of a real number and an imaginary number. Real numbers are basically any number you can think of and imaginary numbers when squared give you a negative result.

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Ex) Add 3+5i and 4-3i

(3 + 5i) + (4 − 3i)
= 3 + 4 + (5 − 3)i
= 7 + 2i

An electromagnetic field, for example, requires imaginary numbers to measure because the strength of the field is determined by both electrical and magnetic components that must be combined into a single complex imaginary number to get an accurate measurement. Is my example helpful?