Evaluate F. dr where F = (4z, – 2y, - x), and C is given by 7(t) = (t, sin(t), cos(t)), 0 < t < T

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Q: Evaluate F- dr where F = (3z, y, 4x), and C is given by 7 (t) = (sin(t), cos(t), t), 0 <t<T

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Q: Evaluate F. dr where F = (- 3z, 4y, x), and C is given by - 7(t) (t, sin(t), cos(t)), 0 <t < ™

A: To evaluate : ∫cF→. dr→ Given: F→=-3z, -4y, xand r→t=t, sint, cost 0≤t≤π Now,  r't=1, cost, -sint

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Q: f(æ) = / t2 – 9 dt 1+ cos? (t) At what value of x does the local max of f(x) occur?

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