Solve the problem.
-The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by $\mathrm { D } ( \mathrm { x } ) = 1000 ( 2 ) ^ { \mathrm { x } }$, where $\mathrm { x }$ is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at $x = 0$ and $x = 5$.
A) $2000 ; 32,000$
B) $1000 ; 10,000$
C) $1000 ; 32,000$
D) $1000 ; 4000$

Question

Quizplus · Accepted Answer

To find the number of dislocated impulses at $x = 0$, we simply plug in $x = 0$ into the given equation:
$\mathrm { D } ( \mathrm { 0 } ) = 1000 ( 2 ) ^ { \mathrm { 0 } } = 1000$
Therefore, the number of dislocated impulses at $x = 0$ is 1000.

To find the number of dislocated impulses at $x = 5$, we again plug in $x = 5$ into the given equation:
$\mathrm { D } ( \mathrm { 5 } ) = 1000 ( 2 ) ^ { \mathrm { 5 } } = 32,000$
Therefore, the number of dislocated impulses at $x = 5$ is 32,000.

Thus, the best choice is C, with the correct answers (1000 ; 32,000).

Solve the Problem D(x)=1000(2)x\mathrm { D } ( \mathrm { x } ) = 1000 ( 2 ) ^ { \mathrm { x } }D(x)=1000(2)x

Solve the Problem $\mathrm { D } ( \mathrm { x } ) = 1000 ( 2 ) ^ { \mathrm { x } }$