Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

A particle is moving with the given data. Find the position of the particle.

$ a(t) = 10\sin t + 3\cos t $, $ \quad s(0) = 0 $, $ \quad s(2\pi) = 12 $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

02:03

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

02:53

A particle is moving with …

01:12

02:36

00:38

01:07

01:28

01:41

02:48

$59-64$ A particle is movi…

02:51

02:26

02:06

$57-62$ A particle is movi…

okay. Remember that acceleration is the derivative of lost piece of lost ease, the integral or anti derivative of acceleration. They're for V. A T. Thea anti derivative would be negative co signed t with three sign of tea, plus our constant A. You can also give it C or D. Any name really works and then position is the integral velocity. It's a night of signed team, as three co signed t plus a our first constant times TV Plus B, which is our second constant. Now we know as of 00 therefore us of zero, we can play again plus eight times zero plus b said equal to zero. This gives us b is equivalent to three and remember us of two pious 12 so passive to pie his negative ton sign to pie here minus three co sign to pa for us too. Hi plus three is equivalent to 12. Therefore, to pie eh equals 12 therefore is equivalent to sex over pi. Therefore, a final equation is us of cheese is negative. 10 cider T minus three co sign of tea Put six over pi T plus three

View More Answers From This Book

Find Another Textbook

Campbell University

University of Nottingham

Idaho State University

01:32

Question 25 Ashley is reviewing Dast monthly credit card statements; The sta…

00:48

Use the properties of the mean and median to determine which are the correct…

02:40

Determine whether each of the equations in Problems through 8 is exact If it…

01:27

The following data reflect the number of customers who test drove new cars e…

01:55

QUESTION3 (17 marks)Disinfectants are important to keep certain types of…

03:09

The table lists the outside temperature T, in degrees Fahrenheit, in Naples …

01:19

Rewrite the following expression in terms of exponentials and simplify the r…

01:14

Which is more affected by extreme observations; the mean Or median? And how …

01:43

Hemoglobin levels in 11-year-old boys vary according to a normal distributio…

02:32

point)Definition: The AREA A of the region S that lies under the graph o…