5. a. (16 points) A farmer wants to build a rectangular cow pen encasing an area of 70ft². Three sides of the fencing wi
Posted: Sat Jul 09, 2022 2:19 pm
5. a. (16 points) A farmer wants to build a rectangular cow pen encasing an area of 70ft². Three sides of the fencing will be made using wood which costs $5 per foot while the remaining side is made using barbed wire which costs $2 per foot. Find the dimensions of the pen that will minimize the total cost of the building materials. You do not need to verify that this is a minimum. 5. b. (17 points) Let ƒ(t) = 3t³ — 10e²t−6 − In (t + 1). At t = 3, is f(t) increasing, decreasing, or neither? Is f(t) concave up or concave down at t = 3?