Find the absolute maximum and minimum values of the following function on the given set R. f(x,y) = x² + y² - 2y + 1; R= {(x,y): x² + y² < 4}

Please do not give solution in image format thanku You want to host a giveaway on Facebook to promote your new side hustle. You are giving away a $50 gift card for your business. Anyone who likes/follows your Facebook page is entered into the drawing. According to a recent study, you predict your side hustle will earn, on average, $.50 per like/follow. Your giveaway deadline passes, and you have 189 new followers on your Facebook page since the giveaway was first promoted. Using expected value, answer the following: Was this a successful giveaway (in terms of expected value)? How many followers would have made this giveaway a “fair game”? What would the expected value have been if you only gained 94 new followers?

The basketball coach at a local college believes that his team scores more points at home games when more people show up. Below is a list of all home games last year with scores and corresponding attendance. Use Excel, SPSS, or work by hand to show your work finding r. Show your work on the attached pages. Score Attendance   Score Attendance 54 380   67 410 57 350   78 215 59 320   67 113 80 478   56 250 82 451   85 450 75 250   101 489 73 489   99 472 53 451       What is the obtained t-score for this correlation? What is the critical t-score for a two-tailed test with a = 0.05? Is this correlation significant based on the t-scores?

Solve using R calculator. Show all work.