Find the Sum or Difference $\mathrm { i } \sqrt { 5 } + 5 - ( 1 + 9 \mathrm { i } \sqrt { 5 } ) - ( 2 - \mathrm { i } \sqrt { 5 } )$

question 179

Multiple Choice

Find the sum or difference. Write the answer in standard form.
- $\mathrm { i } \sqrt { 5 } + 5 - ( 1 + 9 \mathrm { i } \sqrt { 5 } ) - ( 2 - \mathrm { i } \sqrt { 5 } )$

• A) \(- 2 - 11 \mathrm { i } \sqrt { 5 }\)
• B) \(2 - 7 \mathrm { i } \sqrt { 5 }\)
• C) \(2 - 11 \mathrm { i } \sqrt { 5 }\)
• D) \(2 + 7 \mathrm { i } \sqrt { 5 }\)

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Definitions:

Systematic Desensitization

A therapy technique used to treat phobias and anxiety disorders by gradually exposing the patient to the anxiety-producing stimulus in a controlled environment.

Counterconditioning

A behavior therapy technique where an unwanted behavior or response is replaced with a positive one in the presence of a triggering stimulus.

Conditioned Stimulus-Unconditioned Stimulus Pairings

The process in classical conditioning where a neutral stimulus (conditioned stimulus) is repeatedly presented alongside an unconditioned stimulus until it elicits a conditioned response.

CS-UCS Interval

The time gap between the conditioned stimulus (CS) and the unconditioned stimulus (UCS) in classical conditioning, affecting the strength and timing of the conditioned response.