Suppose temperature T in degrees Fahrenheit at a height x in feet above the ground is given by y = T ( x ) . Give a physical interpretation, with units, of T'(x). If we know that T ' ( 1000 ) = − 0.1 , explain the physical meaning.
Suppose temperature T in degrees Fahrenheit at a height x in feet above the ground is given by y = T ( x ) . Give a physical interpretation, with units, of T'(x). If we know that T ' ( 1000 ) = − 0.1 , explain the physical meaning.
When the volume of a gas changes very rapidly, an approximate relation is that the pressure P varies inversely as the 3/2 power of the volume V. If P = 400 kPa when
V= 100 cm, find the derivative of P with respect to V. Evaluate this derivative for V= 100 cm.
dP
dV
(Type an expression using V as the variable.)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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