lec 2: related rates examples | Application of differentiation
#Nommathex# related rates examples #calculus #derivative # Differentiation
Welcome to our channel! In this video, we’re tackling related rates, an important topic in Chapter 3 on derivatives. We’ll be working through several practical examples to see how related rates apply to problems where quantities change over time. Together, we’ll walk through each example step by step, making sure we fully understand the process and techniques needed to solve these kinds of problems.
Whether you're studying for an upcoming exam or just want to sharpen your calculus skills, this video will guide us through it.
Course: Calculus
Topic: related rates
Text: Calculus & Analytic geometry by Tomas, chapter: 3
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1. How rapidly will the fluid level inside a vertical cylindrical tank drop if we pump the fluid out at the rate of 3000 L/ min.
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3.A camera mounted at a point 3000 ft from the base of a rocket launching pad. If the rocket is rising vertically at 880 ft/s when it is 4000 ft above the launching pad, how fast must the camera elevation angle change at that instant to keep the camera aimed at the rocket?
4.Water runs into a conical tank at the rate of 2 m^3/min. The tank stands point down and has a height of 4m and a base radius of 2m. How fast is the water level rising when the water is 3m deep?