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1. Sketch the curve represented by the vector-valued function and give the orientation of the curve r(t) = 2sin ti + tj + 3cos tk.
2. For the vector-valued function r(t) = (sin t - t cos t)i + (cos t + t sin t)j + (t)k, find
i. r' (t)ii. r'' (t)iii. r' (t) · r'' (t).
3. For the vector-valued function r(t) = (ln t)i + (2 sin t cos t)j + (4/t3) k find
i. r' (t)
ii. ∫ r(t)dt
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
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Use the graph to find the domain and the range. Choose the correct domain. Choose the correct range.
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