Parametric equations introduction| Eliminating the parameter and sketching the parametric equations
Parametric equations introduction| Eliminating the parameter and sketching the parametric equations

Parametric Equations with Calculus – 32 Problems Part 2 – Full Solutions





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Description

This product is designed for AP Calculus BC and College Calculus 2.

This is the SECOND PART of a resource on “Parametric Equations with Calculus – Practice Problems” and contains 32 specially selected problems on parametric differentiation. Functions included are polynomial, rational, involving radicals, exponential, logarithmic, trigonometric and inverse trigonometric.

The packets includes two practice sheets.

The first worksheet has

▶ 10 problems on finding the second derivative of a function defined parametrically and

▶ 10 problems on determining the concavity of a parametric curve at a given value of the parameter

The second practice sheet has

▶ the students find the arc length of each of 6 parametric curves on a given interval and

▶ the area under 6 parametric curves on a given interval

The product can be possibly used as an independent/extra practice (the teacher can create different forms), enrichment/homework assignment or even as an assessment.

Full solutions (handwritten clearly) are provided.

❣ You may also find useful THE FIRST PART of this product

Parametric Equations with Calculus – 50 Practice Problems (PART 1 – Full Solutions) . It contains 50 problems with full solutions on

▸ finding the first derivative of parametric functions

▸ computing the slope of a parametric curve at a given value of the parameter

▸ finding the equation of a tangent line to a parametric curve at a point

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Related Products on Parametric Equations:

1) Parametric Equations with Calculus – 50 Practice Problems Part 1 – Full Solutions

2) Parametric Equations & Parametric Curves (Graphing) – ( 3 WS, 34 Practice Problems) – detailed answer keys

3) Parametric Equations (Differentiation) – Partner Activity ( Full Solutions)

4) Parametric Equations ( Differentiation) – Self – Checking Practice ( Full Solutions) – FREEBIE

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