①The total cost for producing x items is given by 12x + 3735. Each item is sold for $21. Find the formula for the total items must be sold to break even? revenue. How Many ②Solve the equation x² - 10x = -2x-15 3 A department store will buy 8 items if the price is $40 per item, and 14 items if the price is $28 per item. The Supplier is willing to sell 5 items if the price is $70 per item and 12 items if the price is $140 per item. If the supply and demand functions are linear, find the equilibrium point. invest $10,000 in an account that pays 10% compounded you continuously, how much money will you have in 15 years? (4) If ⑤ het f(x) = 300 √x + 2. Find the average rate of change when x increases from 25 to 100. Calculate derivatives of the following functions. a) 2 2x-3 4x+5 b) (2x5 +1) 9 ⑦Calculate derivatives of the following functions 8 の 2 6x в) че 6) 1) In (3x² + 5x) Calculate the following integral S (8x7 - 12x 5 + 3x² + 4) dx