My start-up formula sheets for Differential Calculus

🐶 遛狗捡到"前任"的漂流瓶，结局笑疯！

柯基在沙滩刨出玻璃瓶，里面写着：“2020.5.20 阿伟决定永远爱小花”。紧接着，一幕幕戏剧性的事件发生了。 → 拍照发网上竟被原主刷到！ → 现男友激情P图：把阿伟改成自家狗名字 → 原主小花携现男友加入斗图大赛 🎁 彩蛋：漂流瓶已种进我家花盆当装饰 💌 发起#捡到过哪些神纸条 话题，奇葩故事换奶茶！

Application of differential calculus(Physics)(Newton's law of cooling)

The temperature of a glass of mojito is initially 5°.After 5 minutes, the mojito has heated to 10° in a room where the air temperature is 30°.1.Determine the glass of mojito's temperature as a function of time.2.What is the mojito's temperature after 10 minutes?3.Determine when the mojito will reach a temperature of 20°.

Application of Differential Calculus 2

Consider a cylindrical fuel tank of radius r and length L that is lying on its side(horizontal).Suppose that fuel is being pumped into the tank at a rate q.At what rate is the fuel level rising?

Application of Differential Calculus(微积分)

A ball is dropped from a height of 49m above level ground.The height of the ball at time t is h(t)=49-4.9t^2 m.A light,which is also 49m above the ground,is 10m to the left of the ball's original position.As the ball descends, the shadow of the ball caused by the light moves across the ground.How fast is the shadow moving 2 seconds after the ball is dropped?