Find All Specified Roots B) C) D)

question 199

Multiple Choice

Find all specified roots.
-Fifth roots of i.

• A) \(\operatorname { cis } \frac { \pi } { 10 } , i , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 }\)
• B) \(\operatorname { cis } \frac { \pi } { 5 } , \operatorname { cis } \frac { 3 \pi } { 5 } , - 1 , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 }\)
• C) \(\operatorname { cis } \frac { 2 \pi } { 5 } , \operatorname { cis } \frac { 4 \pi } { 5 } , \operatorname { cis } \frac { 6 \pi } { 5 } , \operatorname { cis } \frac { 8 \pi } { 10 } , 1\)
• D) \(\operatorname { cis } \frac { \pi } { 10 } , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 }\)

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Definitions:

Hyperinflations

Extremely high and typically accelerating inflation rates, leading to a rapid erosion of the real value of local currency.

Inflation Tax

The revenue the government raises by creating money

Deadweight Loss

The fall in total surplus that results from a market distortion, such as a tax.

Money-Supply Growth Rate

The rate at which the amount of money available in an economy grows, impacting inflation and economic activity.