Question
$7 - 9$ Find the length of the curve correct to four decimal places. (Use your calculator to approximate the integral.)$$\mathbf { r } ( t ) = \left\langle t ^ { 2 } , t ^ { 3 } , t ^ { 4 } \right\rangle , \quad 0 \leqq t \leqq 2$$
Step 1
The derivative of a vector function is found by taking the derivative of each of its components. So, we have: $$\mathbf { r } ' ( t ) = \left\langle 2t , 3t ^ { 2 } , 4t ^ { 3 } \right\rangle$$ Show more…
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VECTORS AND THE GEOMETRY OF SPACE
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