Can someone help me with this please Find the length of the curve (t) = e²t cos(t), y = e²t sin(t) for 0 ≤ t ≤7.Give an exact answer, without using a decimal.Answer entry tip: To enter e*, type exp(x). To enter √x, type sqrt(x).Question Help: VideoCalculatorSubmit QuestionPrevious Find the length of the curve (t) = e²t cos(t), y = e²t sin(t) for 0 ≤ t ≤7.Give an exact answer, without using a decimal.Answer entry tip: To enter e*, type exp(x). To enter √x, type sqrt(x).Question Help: VideoCalculatorSubmit QuestionPrevious

You have asked multiple question, we will solve the first question for you. The rest can be asked as…

Answered: Find the curvature of the curve r(t) =…

Math

Calculus

Find the curvature of the curve r(t) = (-2t, - 4t4, 4t²) at the point t = 1. Give your answer to 2 decimal places.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 37E

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Can someone help me with this please

Find the length of the curve (t) = e²t cos(t), y = e²t sin(t) for 0 ≤ t ≤7.
Give an exact answer, without using a decimal.
Answer entry tip: To enter e*, type exp(x). To enter √x, type sqrt(x).
Question Help: Video
Calculator
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Step 1: Differentiate the vector valued function with respect to t and evaluate them at t=1

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Step 2: Find the cross product of the first and second derivatives

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Step 3: Find the curvature of the curve at t=1

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