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Prove the Limit Statement
-You Are Asked to Make Some 9 cm29 \mathrm {~cm} ^ { 2 }

question 189

Multiple Choice

Prove the limit statement
-You are asked to make some circular cylinders, each with a cross-sectional area of 9 cm29 \mathrm {~cm} ^ { 2 } . To do this, you need to know how much deviation from the ideal cylinder diameter of x0=1.93 cmx _ { 0 } = 1.93 \mathrm {~cm} you can allow and still have the area come within 0.1 cm20.1 \mathrm {~cm} ^ { 2 } of the required 9 cm29 \mathrm {~cm} ^ { 2 } . To find out, let A=π(x2) 2A = \pi \left( \frac { x } { 2 } \right) ^ { 2 } and look for the interval in which you must hold xx to make A9<0.1| \mathrm { A } - 9 | < 0.1 . What interval do you find?

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Definitions:

After-Tax Discount Rate

A rate that adjusts for taxes when evaluating the present value of future cash flows.

Income Tax Rate

The percentage at which an individual or corporation is taxed on their income, varying based on income levels and jurisdictions.

Straight-Line Depreciation

A method of allocating the cost of a tangible asset over its useful life in a linear fashion.

Income Taxes

Taxes imposed by the government on the income generated by individuals or companies.

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