Heart Rate The heart rate of an athlete while weight training is recorded for 4 minutes. The table lists the heart rate after x minutes. Time (min) 0 1 | 2 3 | 4 Heart rate (bpm) 84 |111| 120 |110| 85 120 110 85 (a) Explain why the data are not linear. (b) Find a quadratic function f that models the data. (c) What is the domain of your function?

calculus help please ?  A food truck's profit from the sale of b beef burgers and v veggie burgers can be described by the function  P(b,v)  dollars.The following values are given: P(50,30) = 240 ;  Pb(50,30)= 2.7 ;  Pv(50,30)=3.4 (a) Estimate the food truck's profit if they continue to sell 30 veggie burgers, but are only able to sell 49 beef burgers. (Round to the nearest cent.) $    b)If the food truck is only able to sell 49 beef burgers, but wants to maintain their profit of $240, how many veggie burgers would they need to sell to compensate for the decrease in beef burgers? (Round decimal values up to the next whole number.)  (BLANK) veggie burgers

Tutorial Exercise Find and simplify the difference quotient f(a + h) - f(a) (h + 0) for the function. f(x) = 5Vx Click here to begin!

Critical Thinking If f(x) = mx + b, what does the difference quotient for function f equal? Explain your reasoning.