2. Find the equation of a tangent line on the curve, y= 3x3-x2 at the point (1,2 Question 4 (5 points) 2. Find the derivative of the quotient function, y= x+2 5x471. Differentiate, In ( 3x+1) 2x Question 9 (5 points) 1. Find any critical values and any relative extrema. g(x) = - x3+12x -18.Question 1 (5 points) 1. Find the domain of the function, f(x) = x-3 Question 2 (5 points) 1. State the domain for f(x), f(x) = 4 + 7x1. Given In 5 = 1.609, In 7 =1.946, find In 175 without using a calculator. Question 7 (5 points) 1. Uranium-238 ( U-238) has a half- life of 4.5 billion years. Geologists find a rock containing a mixture of U-238 and lead, and determine that 56% of the original U- 238 remains: the other 44% has decayed into lead. How old is the rock? ( Round to three decimal places as needed)Question 14 (10 points) Find the average value over the given interval. f(x) = x2+x-5, [0,10] Question 15 (10 points) Evaluate J (18x)e 3x dxQuestion 10 (5 points) 10. Evaluate J x2 (x3+6)8 dx Question 11 (10 points) . Jimmy decides to mow lawns to earn the money. The cost of his electric lawnmower is $400. Electricity and maintenance costs are $7 per law. a. Formulate a function C(x) for the total cost of mowing x lawns. b. Jimmy determines that the total profit function for the lawn mowing business is given by p(x) = 10x-400. Find the function for the total revenue from mowing x lawns. c. How much does Jimmy charge per lawn? d. How many lawns does Jimmy now mow before he begins making a profit?Question 14 ( 10 points) 12. The size of a certain insect population is given by P(t) = 100 e 0.021, where t is measured in days. At what time will the population equal 600? A Question 13 (10 points) *13. For the function K(x) = 3x4 + 8x3, identify the intervals where the function is concave up or concave down