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Get Full Access to Calculus Volume 3 - 1 Edition - Chapter 3.2 - Problem 74
Get Full Access to Calculus Volume 3 - 1 Edition - Chapter 3.2 - Problem 74

× ISBN: 9781938168079 2033

## Solution for problem 74 Chapter 3.2

Calculus Volume 3 | 1st Edition

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Problem 74

Given $$\mathbf{r}(t)=t \mathbf{i}+3 t \mathbf{j}+t^{2} \mathbf{k}$$ and $$\mathbf{u}(t)=4 t \mathbf{i}+t^{2} \mathbf{j}+t^{3} \mathbf{k}$$, find $$\frac{d}{d t}(\mathbf{r}(t) \times \mathbf{u}(t))$$.

Text Transcription:

r(t) = t i + 3t j + t^2 k

u(t) = 4t i + t^2 j + t^3 k

d/dt (r(t) times u(t))

Step-by-Step Solution:
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Courtney Corso Chapter 9 Textbook Notes and Key Terms Torts What is a Tort • Civil, noncriminal wrongs that are not breaches of contract but interfere with one’s property or person • Ex) causing someone’s character to be questioned, entering someone’s house without permission Tort vs. Crime • Crime: wrong that arises from a violation of a public duty o Government steps are taken to prosecute wrongdoer to deter others from engaging in same type of conduct • Tort: wrong that arises from a violation of a private duty Can it be both a crime and a tort Types of Torts: (Brief Descriptions) 1. Intentional: those that occur when wrongdoers engage in intentional conduct • Ex) punching somebody in the face 2. Negligence: failure to exercise due care under the circumstances in consequence of which harm is proximately caused to one to whom the defendant owed a duty to exercise due care • Ex) running a red light and hitt

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##### ISBN: 9781938168079

The full step-by-step solution to problem: 74 from chapter: 3.2 was answered by Aimee Notetaker, our top Calculus solution expert on 03/18/22, 10:36AM. This textbook survival guide was created for the textbook: Calculus Volume 3, edition: 1. Calculus Volume 3 was written by Aimee Notetaker and is associated to the ISBN: 9781938168079. The answer to “?Given $$\mathbf{r}(t)=t \mathbf{i}+3 t \mathbf{j}+t^{2} \mathbf{k}$$ and $$\mathbf{u}(t)=4 t \mathbf{i}+t^{2} \mathbf{j}+t^{3} \mathbf{k}$$, find $$\frac{d}{d t}(\mathbf{r}(t) \times \mathbf{u}(t))$$.Text Transcription:r(t) = t i + 3t j + t^2 ku(t) = 4t i + t^2 j + t^3 kd/dt (r(t) times u(t))” is broken down into a number of easy to follow steps, and 39 words. Since the solution to 74 from 3.2 chapter was answered, more than 203 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 50 chapters, and 2640 solutions.

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