Math Answers

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

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?

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

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)

μ=220 grams σ=25 grams

If a mango is selected at random, what is the probability that its weight lies between 180 and 250 grams?

In a certain Algebra 2 class of 28 students, 14 of them play basketball and 7 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

A fitness center claims that its members lose an average of 12 pounds or more the first month after joining the center. An independent agency that wanted to check this claim took a sample of 45 members and found that they lost an average of 10 pounds within the first month with standard deviation of 3 pounds. Find the p-value for this test. What will your decision be if 𝛼 = 0.05?