Find the indicated derivative for the given vector-valued function .Find Dt[h(t),r(t)] for r(t) = sin(6t)i + j and h(t) = e3t.
A. Dt[h(t),r(t)] = [3e3t sin(6t) + 6e3t cos(6t)]i - 3e3tj
B. Dt[h(t),r(t)] = [3e3t sin(6t) + 6e3t cos(6t)]i + 3e3tj
C. Dt[h(t),r(t)] = [3e3t sin(6t) + 6e3t cos(6t)]i
D. Dt[h(t),r(t)] = [3e3t cos(6t)]i + 3e3tj
Answer: B
Mathematics
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