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Question 1. What is the graph of 3x2 + y2 = 18? What are its lines of symmetry? What are the domain and range?
Question 2. Prove that for all integers n > 10,
n - 2 < n2 - n/12
Question 3. Solve the equation sin (Π/4 - x) - sin (x + Π/4) = 1 for 0 ≤ x ≤ 2Π. Explain each step and substantiate your conclusions.
Question 4. The office needs cabinets. The price for the first type of cabinet is $10, it needs 6 ft2 of floor space, and it has a storage volume of 8 ft3. The price for the second type of cabinet is $20, it needs 8 ft2 of floor space, and it has a storage volume of 12 ft3. The company wants to spend no more than $140 and the office can hold up to 72 ft2 of cabinets. How can the storage volume be maximized?
Question 5. Prove that 5 +8+ 11 + ..... + (3n + 2) = n(3n + 7)/2 is valid for every positive integer n. Explain each step.
Using the table of information for differentiable functions f(x) and g(x) at x = 2 and x=3, determine the derivative below.
Find two consecutive even integers such that the smaller added to four times the larger gives a sum of 28.
If you deposit $1,000 into an account that pays 4% interest compounded continuously, how long will it take the account to grow to $2,000?
Find all the solutions for b equals the zero vector - Apply elimination and back substitution and write the LU factorization of the system. use b=Lc and c=Ux to solve the system.
What are the main ethical issues, if any, in the Wingate Paper case? Describe each ethical issue. What are George's options? How do the three levels of moral development relate to George's situation? What would you do?
The perimeter of a square is 68 meters. The side length can be represented as (8x - 3) meters. What is the value of x?
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
Theory, Process, and Practice (9th ed.) by D.F. Kuratko. Cal Whiting believes entrepreneurs need to address the importance of ethics in their organizations.
From the e-Activity, the table shows Average Insurance Costs by State. Select two (2) states that are of interest to you. Next, speculate on three (3) possible reasons why the states you have chosen would have a difference in average insurance cos..
What percentage of Americans earn below $20,000? What percenage of Americans earn above $ 43,000?
You are given two objects that have the same mass M, the same radius R, and the same angular velocity about the indicated axes (say, one revolution per minute).
Discuss the advantages of using the formulas, any difficulties in using them, and whether computers are used with them.
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