please help with these:

1. A certain hot tub holds 450 gallons of water when it is full. If someone pulls the plug for the tub at t = 0 , and the hot tub drains at a rate of + 3 gallons per minute, how many gallons of water are left in the hot tub after it has been draining for 30 minutes if it was originally full? 0 90 + 41n(121) O 90 + ln(121) O 360 7 41n(121) O 360 ln(121) O 540 + 111(121) 2. The velocity of a race car over a certain time during a race is given by the function 1) (t). Which of the following statements will give the average acceleration of the race car from time t = 1 to t = 7? O M O MIMM O magma) 0 %f17 l'v(t)ltLht O %f17v(t)dt 3. If f I(m) = 0 for all real numbers, and [33 f (:13) dt = 4, which of the following tables could represent the values for the function f (as)? O a: x) 3 1 1 1 1 1 O m Has) 3 2 1 0 1 5 O w W) 3 1 1 1 1 1 O a: x) 3 6 1 1 1 3 O :1: Has) 3 U 1 U 1 U 4. The rate at which the number of guests entering and exiting a certain amusement park was measured over the course of several hours during the day (from t : 3 to t : 11). These rates are recorded in the table below. t (hours) 3 4 6 8 11 R (15) (people /hour) 682 544 21 778 7430 Using the table provided, ca culate the average rate at which R (t) is changing from 3 to 11' O 162 5. The rate at which the number of guests entering and exiting a certain amusement park was measured over the course of several hours during the day (from t = 8 to t = 17). These rates are recorded in the table below. t (hours) 8 10 13 14 17 R (t) (people/hour) 278 497 123 76 7104 Using the Tra ezoidal Rule, approximate, to the nearest person, the number of people in the amusement park at t : 17 Assume that the number of people in the park at t : 8 is 0