Find the line integral of 𝑓(𝑥, 𝑦) = 𝑦𝑒 # !along the curve r(t) = 4t i – 3t j, -1 ≤ t ≤ 2

Question

Find the line integral of 𝑓(𝑥, 𝑦) = 𝑦𝑒 # !along the curve r(t) = 4t i – 3t j, -1 ≤ t ≤ 2
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Solution 1

To solve this problem, we need to follow these steps:

  1. First, we need to parameterize the function f(x, y) in terms of t using the given curve r(t) = 4t i – 3t j. From r(t), we can see that x = 4t and y = -3t. So, f(x, y) becomes f(t) = -3t * e.

  2. Next, we need to find the derivative of the vec Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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