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

question 189

Multiple Choice

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

• A) \(( 3.3663,3.4039 )\)
• B) \(( 0.5642,0.5642 )\)
• C) \(( 2.3803,2.4069 )\)
• D) \(( 5.9666,6.0332 )\)

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Definitions:

Target Behaviours

Specific behaviors or sets of behaviors that are identified for change or intervention within a therapeutic or educational setting.

Variable Reinforcement

A reinforcement strategy in which rewards are given out at unpredictable intervals or after an unpredictable number of responses, enhancing the persistence of the behavior.

Baseline Data

Initial data collected before an intervention or treatment to compare against future data, helping to assess progress or effectiveness.

Antecedents

Refer to events or conditions that occur before a behavior, influencing its occurrence.