Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:3. The volume of a right circular cylinder with base radius r and height h is given by
V = πr²h
(a) (8 pts) Find the differential of V as a function of r and h.
(b) (7 pts) The base radius and the height of a right circular cylinder are measured as 3 cm
and 9 cm, respectively, with a possible error of at most 0.1 cm in each measurement. Use
the differential in part (a) to estimate the maximum error in the calculated value of the
volume of the cylinder.
4. Find an equation of the tangent plane to the surface xyz = sin(x+y+z) at (1,−1,0).
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