Problem #1: Find all real numbers x that satisfy the given equation. (a) 340 -x = 27x (b) 148-x2 (125) = 524x Problem #1(a): Problem #1(b): Just Save Submit Problem #1 for Grading Problem #1 Attempt #1 Attempt #2 Attempt #3 Your Answer: | 1(a) 1(a) 1(a 1 (b) 1(b) 1 (b) Your Mark: | 1(a) 1(a) 1(a 1(b) 1(b) 1(b) Problem #2: Suppose that $5000 is invested at an annual interest rate of 5%. Compute the balance after 6 years if the interest is compounded (a) annually (b) semiannually (c) quarterly (d) continuously Problem #2(a): Round your answer to 2 decimals. Problem #2(b): Round your answer to 2 decimals. Problem #2(c): Round your answer to 2 decimals. Problem #2(d): Round your answer to 2 decimals Just Save Submit Problem #2 for GradingProblem #3: Solve the given equation for x. (a) logo(3x - 21) = 7 (b) 15 = 3+21e-5x (Inx + In(*-3) = In 10 (d) 5 Inx2 - Inx8 = In(4x + 21) Problem #3(a): Enter your answer symbolically, Problem # 3(b): as in these examples Problem # 3(c): Problem #3(d): Separate your answers with a comma. Just Save Submit Problem #3 for Grading Problem #3 Attempt # 1 Attempt #2 Attempt #3 Your Answer: |3(a) 3(a) 3(a) 3(b) 3 (b) 3 (b ) 3 ( C ) 3 (c ) 3 ( c ) 3 (d) 3 ( d ) 3 ( d ) Your Mark: |3(a) 3 (a) 3 ( a ) 3 ( b ) 3 ( b ) 3 ( b ) 3 (c ) 3 (c ) 3 ( d ) 3 ( d) 3 ( d ) 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(bProblem # 5: Differentiate the given function: (a) f(x) = x4e\" (b) f(x) = 1n(e'5" + 12x) 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 Attemtm Your Answer: 5(a) 5(a) 5(a) 5(b) 5(b) 5(5) Your Mark: 5(a) 5(a) 5(a) 5(b) 5(b) 5(b) Problem #6: Find the critical number of f(x) = x6 lnx. (Note: 0 is not a critical number because it is not in the domain of f.) Enter your answer symbolically, as in these examples Submit Problem #6 for Grading Problem #6 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #6: Problem # 7: Find the equation of the line that is tangent to the graph of the function f (x) = 1n(9x + 6) at the point (0, 1n 6). Enter your answer as a symbolic Problem *7: function of x, as in these examples Put your answer in the form y = mx + b, 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