10:25 E A D • O * * 19%. 2. Let C be the path given by a smooth vector valued function r(t) = f(()i + g(t)j + h(t)k, a

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10:25 E A D •<br>O * * 19%.<br>2. Let C be the path given by a smooth vector valued function<br>r(t) = f(()i + g(t)j + h(t)k, a <tsb<br>be a where a, b are non-negative constants. Let k(x, y, 2) be a continuous scalar<br>function defined over R. Use this information to answer the following questions.<br>a) Consider the path<br>C : r,() = r(21), sts<br>is it always the case that<br>r, y, z) ds=<br>k(x, y, 2) ds?<br>Justify your answer.<br>b) Consider the path<br>C2 : r:(t) = r(t*), vāsts vo,<br>is it always the case that<br>Justify your answer.<br>II<br>

Extracted text: 10:25 E A D • O * * 19%. 2. Let C be the path given by a smooth vector valued function r(t) = f(()i + g(t)j + h(t)k, a

Jun 05, 2022
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