215/viewContent/4649667/View _Assignment_/_52_2022 v W Q TIV 1 of1 . Rolle's Theorem. - + Automatic Zoom v Refer to Calculus Section 4.1 and 4.4 for related topics and similar examples and problems. 1. A trough has a triangular cross-section of base 30cm and height 20cm. The length of the trough is 2m. Water is poured from a tap into the trough at a rate 150er per second. At what rate is the water level rising when the depth is 10cm? 2. A ladder of length 5m is standing on the ground and leaning against a vertical wall. The foot of the ladder is pulled away from the wall at a constant speed of 15cm per second. At what speed is the top of the ladder moving down the wall at the instant when it is im above the ground? 3. Use Rolle's Theorem to prove that the equation 3.7 1 415 + 71 -11 = 0 has exactly one root that lies in the interval (0, 1). 4. Let f(r) - | tan() | and consider the interval 7 . 06:48 C 11.C Mostly sunny ~ (4 4x ENG 19-08-2022 Type here to search acer