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integrating factor by inspection (2x^2 + y)dx + (x^2y - x)dy = 0


. The scores of 9 students in 6 quizzes are: 78, 85, 82, 84, 72, 75, 87, 95 and 90. Find the sample mean and standard deviation. Construct the 99% estimate interval for the 6 scores.




solve the following recurrence relations.


a) T(n)=T(n-1)+1 , for n≥ 2 and T(1)=1.


b) "a_{n+1}-2a_n=2n," for n≥1 and T(1)=2.


Reflect on the concept of exponential and logarithm functions. What concepts (only the names) did you need to accommodate these new concepts in your mind? What are the simplest exponential and logarithmic functions with base b ≠ 1 you can imagine? In your day to day, is there any occurring fact that can be interpreted as exponential or logarithmic functions? What strategy are you using to get the graph of exponential or logarithmic functions?


xyp+y^2q=2xy-2x^2


Two islands A and B are 2.0km apart. How far is a third island C from A and from B is angle ACB=90 degrees



What conclusions would be appropriate for the upper-tailed chi-square test in alpha= 0.05, df= 4, X2=12.5

The average time it takes a group of senior high school students to

complete a certain examination is 46.2 minutes. The standard deviation is

8 minutes. Assume that the variable is normally distributed.


What is the probability that a random selected college student will

complete the examination in less than 43 minutes?


I'm not going to your house if your friend is there. (Restate into contrapositive)


I'm not going to your house if your friend is there. (Restate into contrapositive)


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