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Rose curves are characterized by equations of the formr=acosnθorr=asinnθ,a≠0.If n≠0is even, the rose has _____ petals; if n≠±1is odd, the rose has ______ petals.

Short Answer

Expert verified

Rose curves are characterized by equations of the form r=acosnθorr=asinnθ,a≠0.If n≠0 is even, the rose has2npetals; ifn≠±1is odd, the rose hasnpetals.

Step by step solution

01

Step 1. Given Information

The given equation is of rose curves r=acosnθorr=asinnθ,a≠0

We have to find the rose petals if n≠0is even andn≠±1, is odd.

02

Step 2. Filling the blank 

If n≠0, is even, the rose has 2npetals.

Ifn≠±1is odd, the rose hasnpetals.

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