Solve the Problem by Integration $= \frac { 0.0040 \left( 8 t ^ { 2 } + 15 t + 75 \right) } { ( t + 5 ) \left( t ^ { 2 } + 15 \right) }$

question 167

Multiple Choice

Solve the problem by integration.
-By a computer analysis, the electric current i (in A) in a certain circuit is given by i $= \frac { 0.0040 \left( 8 t ^ { 2 } + 15 t + 75 \right) } { ( t + 5 ) \left( t ^ { 2 } + 15 \right) }$ , where $t$ is the time (in s) . Find the total charge that passes a point in the circuit in the first $0.25 \mathrm {~s}$ .

• A) 0.0002 C
• B) 0.0051 C
• C) 0.0010 C
• D) 0.0049 C

---

Definitions:

Persistent Motive

A long-standing desire or drive that consistently influences behavior over time.

Humanistic Psychology

Humanistic psychology is a psychological perspective that emphasizes the individual's potential and stresses the importance of growth and self-actualization.

Motivation Psychology

A field of psychology that studies what drives individuals to initiate, direct, and sustain behaviors and actions towards achieving specific goals.

Conditional Positive Regard

Refers to acceptance and love that are contingent upon a person behaving in certain ways or fulfilling certain conditions.