QUESTION #2A. Use the Fundamental Theorem of Calculus to DIFFERENTIATE the integral: 2 h (3;) = f3): 3 5:51 dt {You do not need to prove continuity) HINT: Break integral into two intervals [cos :3, 1] and [1, 43:2] and continue. Answer will contain sme and cosme. ************************************** QUESTION #23. GIVEN: A 12 foot long piece of exible tubing is sliced into two parts. One part is bent into an equilateral (equal-sided) triangle. The other is bent into a square. Let x=length of tubing used for the square. Teach me, step-by-step how to : FIND: The amount of tubing that should be used for the square in order to MINIMIZE all the area enclosed (in BOTH square and triangle). slu// I will help you begin. 1. We will MINIMIZE total area: TOTAL AREA = (AREA IN SQUARE) + (AREA IN TRIANGLE), with CLOSED INTERVAL 0 S a: S 12 2. Relate AREA "A" to only one variable x: 1 2 x/ 2 . A(3:)=16:c +%(12$) wuth05w12 NOW YOU CAREFULLY FINISH STEP 3 AND STEP 4 AND CONCLUDE