QUIZ # 1 Solution Keys Math 141/6380, Due 11:59PM, Sunday, January 27, 2019 1. The velocity of a car after t seconds is 2𝑡 + 3feet per second. (a) How far does the car travel between 𝑡 = 4second and 𝑡 = 10second? (b) How many seconds does it take the car to travel from starting place to 54 feet?
(b) Assume it takes T second for the car to travel from starting place to 54 feet, then ?? = ∫ (?? + ?)??𝐓?= 𝐓?+ ?𝐓𝐓?+ ?𝐓 − ?? = ?(𝐓 − ?)(𝐓 + ?) = ?So 𝐓 = −?or 𝐓 = ?. 𝐓 = −?doesn’t work. Therefore, it takes the car 6 seconds to travel 54 feet from starting place. 2. Let A(𝑥) = ∫ √cos2𝑡 + 1𝑑𝑡1,find ′(𝑥)at 𝑥 = 0, and2𝑥𝐴π
3. Evaluate the following definite integrals: (a) dxxx)