Consider the curve c(t) (t 2 , t 3 ) for 0 t 1 (a) Find the area under the curve using Eq (9) (b) Find the area under the curve by expressing y as a function of x and finding the area using the standard method , y(t)x' (1) dt to A ...

a Using Eq 9 note first that for 0 t 1 the path of ct is traced once so that ...

Consider the curve c(t) = (t 2 , t 3 ) for 0 t 1.

Question:

Consider the curve c(t) = (t², t³) for 0 ≤ t ≤ 1.
(a) Find the area under the curve using Eq. (9).

A = y(t)x' (1) dt to

(b) Find the area under the curve by expressing y as a function of x and finding the area using the standard method.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 21, 2023 05:57 AM

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Consider the curve c(t) = (t 2 , t 3 ) for 0 t 1.

Question:

= [", y(t)x' (1) dt to A =

Step by Step Answer:

a Using Eq 9 note first that for 0 t 1 the path of ct is traced once so that ...View the full answer

Calculus

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