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ksanquist8896
11.02.2020 •
Mathematics
The dimensions of a closed rectangular box are measured x, y and z as 100 cm, 70 cm, and 30 cm, respectively, with a possible error of 0.2 cm in each dimension. The surface area and the volume of the box is given by the equations S(x, y, z) = 2xy + 2xz + 2yz, V(x, y, z) = xyz Find the linear approximation of S at the point (96, 69, 29). b. Suppose the box has been measured with a ruler that has one centimeter gradation, find the actual maximum error in measuring the surface of the box. c. Find L(101,71,31) -L(100,70,30) d. Use differentials to estimate the error in the measurement of the surface area of the box. e. Compare the answers of parts c to d and the d to b. What do you conclude? f. A coat of paint of thickness 0.0002 cm is applied to the exterior surface of the box. Use differentials to estimate the amount of the paint needed.
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Ответ:
The measure of angle R is![28.07\°](/tpl/images/0420/3114/79b53.png)
Step-by-step explanation:
we know that
In the right triangle PRQ
The cosine of angle R is equal to the adjacent side angle R divided by the hypotenuse
so
substitute the values