A capacitor has a voltage applied to it modeled by \( V = 24 \sin ( 250 t ) \) . The resulting current is found to be \( i = 3 \cos ( 250 t ) \) . Calculate the rate at which its power \( P \) is changing when
\( t = 0.002 sec \) . (Remember \( P = iV \) ) Don't forget the units!
9/125*cos1≈0.0389
Given the general term of the sequence, determine the first \(5\) terms:
\(a ( n ) = ( n - 1 ) / ( n + 1 )\) *
Kelvin is at his house located at \( ( 3,4 ) \) on a coordinate plane and walks to the store located at \( ( 1,0 ) \) . The store is located exactly half way between Kelvin's house and Mitch's house. To the nearest tenth, what is the distance between Kelvin's house and Mitch's house? A. \( 4.2 \) B. \( 4.5 \) C. \( 5.7 \) D. \( 8.9\)
