Solve the problem. The electric power p (in W) as a function of the current i (in A) in a certain circuit is given by p(i) = 30i^2 + 65i. Find the instantaneous rate of change of p with respect to i for i = 0.5 A. 40 W/A 95 W/A 80 W/A 62.5 W/A
Added by Daniel J.
Close
Your feedback will help us improve your experience
Benjamin Densmore and 96 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve the given problems by finding the appropriate derivative. The electric power $P$ (in $\mathrm{W}$ ) as a function of the current $i$ (in $\mathrm{A}$ ) in a certain circuit is given by $P=16 i^{2}+60 i .$ Find the instantaneous rate of change of $P$ with respect to $i$ for $i=0.75 A$.
The Derivative
Derivatives of Polynomials
The time rate of change of electric current in a circuit is given by the equation below. Find the expression for the current as a function of time if i = 2 A when t = 0 s. di/dt = 8t - 1.5t^4 The solution is i =
Krishna G.
Solve the given problems. The electric current $i$ (in $\mathrm{mA}$ ) in the circuit shown in Fig. 13.4 is $i=2.5\left(1-e^{-0.10 t}\right),$ where $t$ is the time (in $\mathrm{s}$ ). Evaluate $i$ for $t=5.0 \mathrm{ms}\left(1 \mathrm{ms}=10^{-3} \mathrm{s}\right)$.
Exponential and Logarithmic Functions
Exponential Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD