Problem #2: Differentiate the given function and simplify your answer. (a) y = (4 +7x2 -1)4 (D) y = 7 V8x + 8 Enter your answer as a symbolic Problem #2(a): function of x, as in these examples Enter your answer as a symbolic Problem #2(b): function of x, as in these examples Just Save Submit Problem #2 for Grading Problem #2 Attempt #1 Attempt #2 Attempt #3 Your Answer: 2(a 2(a) 2(a) 2(b) 2 (b ) 2(b) Your Mark: | 2(a) 2(a 2(a) 2(b) 2 ( b ) 2 ( b ) Problem #3: Find the equation of the line that is tangent to the graph of f for the given value of x. Put your answer in the form y = mx + b, but do not include the 'y = ' part in the answer box. (a) f (x) = x3 (2x - 3)4; x=2. (b) f(x) = 41 71-27 Enter your answer as a symbolic Problem #3(a): function of x, as in these examples Enter your answer as a symbolic Problem #3(b): function of x, as in these examples 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 ) Your Mark: | 3(a 3(a) 3(a 3 ( b ) 3 (b ) 3 (b ) Problem #4: When printer paper is sold for p dollars per packet, consumers will buy D(p) = 50000 units per month. It is estimated that z months from now the price of the paper will be p(t) = 0.815/2 + 6.1 dollars per unit. At what rate will the monthly demand for the paper be changing with respect to time 5 months from now? Problem #4: Round your answer to 2 decimals