[T] Let C be circle \(x^{2}+y^{2}=4\) oriented in the counterclockwise direction. Evaluate \(\oint_{C}\left[\left(3 y-e^{\tan -1_{x}}\right) d x+\left(7 x+\sqrt{y^{4}+1}\right) d y\right]\) using a computer algebra system.

Text Transcription:

x^2 + y^2 = 4

oint_C [(3y - e^tan -1_x)dx + (7x + sqrt y^4 + 1)dy]

CH 1010: General Chemistry Dr. Ava Kreider-Mueller FINAL EXAM CHAPTER 1: Key Terms- Steps of the Scientific Method: 1. Ask a Question 2. Background Research on the topic 3. Create a Hypothesis 4. Test your Hypothesis 5. Analyze your data, and draw a conclusion 6. Report all findings, check if hypothesis was correct Hypothesis: a testable explanation Scientific Theory: a explanation which has been repeated tested Scientific Law: a statement of a fundamental principle that can be applied to a topic. Meter: distance traveled by light emitted from a helium-neon laser through a vacuum Matter: anything that has a mass and occupies space o 3 States of Matter are: 1. Solid 2. Liquid 3. Gas Weight: measure of force that gravity exerts on an object. Weight can change since gravity can change but mass stays the same Mass: quantity of matter in an object 3 Most Common Units of Temperature: 1. Fahrenheit, Fº 2. Celsius, Cº 3. Kelvin, Kº [Both Celsius and Kelvin have the same temperature interval] If you are finding Kº use the following equation: Kº = Temp. in Cº + 273.15 If you are finding Cº use the following equation: Cº = Temp. in Kº - 273.15