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ap calc

✍️ Free Response Questions (FRQ)

👑 Unit 1: Limits & Continuity

🤓 Unit 2: Differentiation: Definition & Fundamental Properties

🤙🏽 Unit 3: Differentiation: Composite, Implicit & Inverse Functions

👀 Unit 4: Contextual Applications of the Differentiation

✨ Unit 5: Analytical Applications of Differentiation

🔥 Unit 6: Integration and Accumulation of Change

💎 Unit 7: Differential Equations

🐶 Unit 8: Applications of Integration

🦖 Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)

♾ Unit 10: Infinite Sequences and Series (BC Only)

🧐 Multiple Choice Questions (MCQ)

🎥**Watch: AP Calculus AB/BC - ****Related Rates**

The **volume of a cone** is a special related-rates case because of its **two variables that are both rates, radius and height**. In a cylinder, the radius is not a problem because it never changes. However, with a cone, **as the height changes, the radius will too!** Because of this, the VERY FIRST thing you should do when given a cone, is **making a proportion between radius and height**, and solve for the one that is unneeded to plug it into the volume formula before you do anything else!

__Here is an example__:

A conical water tank with vertex down has a radius of 8 ft at the top and is 22 ft high. If the water flows into the tank at a rate of 10 ft^3/min, How fast is the depth of the water increases when the tank is 12 ft deep?

** **Remember, always round to 3 decimal places!**

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92% of Fiveable students earned a 3 or higher on their 2020 AP Exams.

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