Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Watch this step-by-step video, matched to your homework problem.

Try Numerade Free for 30 Days

Like

Report

The current $i$ (in $\mathrm{A}$ ) as a function of the time $t$ (in $\mathrm{s}$ ) in a certain electric circuit is given by $i=(4 t+3) /\left(2 t^{2}+3 t+1\right) .$ Find the total charge that passes through a point during the first second.

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 9

Integration by Partial Fractions: Nonrepeated Linear Factors

Integrals

Missouri State University

University of Michigan - Ann Arbor

University of Nottingham

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

04:04

Suppose that the charge in…

05:34

02:56

Refer to example 6.6 If th…

03:12

05:27

The current $I(t)$ in an $…

01:58

The quantity of charge of …

01:02

An electric current in a c…

03:38

An electric current is giv…

01:20

The current in a wire at t…

02:46

(II) At $t = 0 ,$ let $Q =…

in the problem the coupon did he. Which is equal to current. So this has given us 40 plus three A bomb duty Squire plus three d. Plus one. So here 40 plus three upon to t quiet plus three T plus one is written as airborne To T. Plus one. Blessed be upon D. Plus one so far there you can write this ass 40 plus three that equals to a. N. Two T. Less fun plus B. Into twice of T plus one. So after solving this we have the value of a equal two b equals two one. So now we have the accu integral that equals to duration two upon to T plus one glass one upon D. Plus one DT Ladies. Q. F. D. Equals two. Ellen mode 30 plus one plus Ellen mud D. Plus one plus the so we have finally U. F. D. Equal to Ellen moored to T. Plus one plus Ellen monte plus one plus the so this is the answer.

View More Answers From This Book

Find Another Textbook

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Suppose that the charge in an electrical circuit is $Q(t)=e^{t}(3 \cos 2 t+\…

Suppose that the charge in an electrical circuit is $Q(t)=e^{-2 t}(\cos 3 t-…

Refer to example 6.6 If the total charge in an electrical circuit at time $t…

The current $I(t)$ in an $L C$ series circuit is governed by the initial val…

The quantity of charge of $ Q $ in coulombs (C) that has passed through a po…

An electric current in a conductor varies with time according to the express…

An electric current is given by the expression $I(t)=$ $100 \sin (120 \pi t)…

The current in a wire at time $t$ is given by the expression $I=(2.0 \mathrm…

(II) At $t = 0 ,$ let $Q = Q _ { 0 } ,$ and $I = 0$ in an $L C$ circuit. (a)…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.