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QUESTION 6 Evaluate the line integral. $\int_C e^x ds$ where C is the curve given by $x = 2t$, $y = 4t$, $0 \le t \le 3$ Solved Skipped

          QUESTION 6
Evaluate the line integral.
$\int_C e^x ds$
where C is the curve given by $x = 2t$, $y = 4t$, $0 \le t \le 3$
Solved
Skipped

QUESTION 6
Evaluate the line integral.
e^x ds
where C is the curve given by x = 2t, y = 4t, 0 ≤ t ≤ 3
Solved
Skipped

Added by Cassidy P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sutara K

Step 1

We are given that x = 2t and y = 4t^3. We can express t in terms of x by rearranging the equation x = 2t as t = x/2. Substituting this into the equation for y, we get y = 4(x/2)^3 = x^3. So, the parameterization of C is given by r(t) = (x(t), y(t)) = (2t, 4t^3). Show more…

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