Find the area of the largest triangle that can be inscribed in a circle of a radius of 6 inches. а. 27/у3 b. 20/V3 c. 27/3 d. 20/3

regression equation: x1 = 1.5 + 3.6x2 – 7.7x3 + 2.3x4 1) If x2 = 4, x3 = 9, and x4 = 10, what is the predicted value for x1? (Use 1 decimal place.) a) Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1?b)Suppose x2 increased by 2 units. What would be the expected change in x1?c)Suppose x2 decreased by 4 units. What would be the expected change in x1?(d) Suppose that n = 16 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.307. Construct a 95% confidence interval for the coefficient of x2. (Use 2 decimal places.) lower limit ? upper limit ? e) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.) t= ? t critical ±= ?

Question: At this point in the semester, you have a variety of applications of the derivative including graphing, optimization, related rates, linearization, and Newton's method. How do you recognize if you're looking at one of these types of problems? How do you distinguish among these types of problems? (The answer to this question could take many pages. Write at least one paragraph to address the question.)

Differential Equation   Your employer automatically puts 15 percent of your salary into a 401(k) retirement account each year. The account earns 7% interest. Suppose you just got the job, your starting salary is $45000, and you expect to receive a 3.5% raise each year.For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously.Find the value of your retirement account after 25 yearsValue = $