The length of each edge of a cube is 16 cm, with a possible error in measurement of 0.01 cm. Use differentials to estimate the error that might occur when the volume of the cube is calculated.

Round the result to the nearest hundredth, if necessary.

An error is approximately ± __________ cm3.

Fill in the blank(s) with the appropriate word(s).


7.68

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).r(t) = (3 + 2t2)i + (2t2 - 2)j + (5 - t2)k, 1 ? t ? 2

A. 27 B. 9 C. 45 D. 15

Mathematics

Solve using the addition principle.12 = -17 + x

A. -29  B. -5 C. 5  D. 29 

Mathematics

Find all zeros.

Mathematics

The following table lists the revenue in thousands of dollars, of a small bike shop for various years.


(a) Use the REGRESSION feature to fit a linear function to the data.
(b) Use the linear function to predict the revenue of the bike shop in 2007.

Mathematics