Problem #4: Suppose that you invest $4000 at an annual interest rate of 6%, compounded continuously. How long will it take (in years) for your money to (a) double? (b) triple? Problem #4(a): Round your answer to 2 decimals. Problem #4(b): Round your answer to 2 decimals. Just Save Submit Problem #4 for Grading Problem #4 Attempt #1 Attempt #2 Attempt #3 Your Answer: 4(a) 4(a) 4(a) 4(b) 4(b) 4(b) Your Mark: 4(a 4(a) 4(a) 4(b 4 (b) 4(b) Problem #5: Differentiate the given function. (a) f(x) = xesx (b) f(x) = In(e-5x + 11x) Enter your answer as a symbolic Problem #5(a): function of x, as in these examples Enter your answer as a symbolic Problem #5(b): function of x, as in these examples Just Save Submit Problem #5 for Grading Problem #5 Attempt #1 Attempt #2 Attempt # 3 Your Answer: 5(a) 5(a) 5(a) 5 (b ) 5 (b) 5(b ) Your Mark: 15(a) 5(a 5(a 5 (b 5 (b ) 5 ( b ) Problem #6: Find the critical number of f (x) = x Inx. (Note: 0 is not a critical number because it is not in the domain of f.) Enter your answer symbolically, Problem #6: as in these examples Just Save Submit Problem #6 for Grading Problem #6 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #7: Find the equation of the line that is tangent to the graph of the function f(x) = In(4x + 4) at the point (0, In 4). Enter your answer as a symbolic Problem #7: function of x, as in these Put your answer in the form y = mx + b, examples but do not include 'y = ' in your answer. Just Save Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Attempt # 3 Your Answer Your Mark