her or not it is reasonable to assume g is constant near the surface (d) What of the earth? 95. The period, T, of a pendulum is given in terms of its length, 1, by T 2T where g is the acceleration due to gravity (a constant). (a) Find dT/dl. (b) What is the sign of dT/dl? What does this tell you about the period of pendulums? Sar Strengthen Your Understanding In Problems 103-104, explain what is wrong with the state- ment. 103. The only function that has derivative 2x is x2. 104. The derivative of f(x) 1/x2 is f'(x) 1/(2x). In Problems 105-107, give an example of: 105. Two functions f(x) and g(x) such that d ((x) + g(x)) = 2x + 3. NDO -100
her or not it is reasonable to assume g is constant near the surface (d) What of the earth? 95. The period, T, of a pendulum is given in terms of its length, 1, by T 2T where g is the acceleration due to gravity (a constant). (a) Find dT/dl. (b) What is the sign of dT/dl? What does this tell you about the period of pendulums? Sar Strengthen Your Understanding In Problems 103-104, explain what is wrong with the state- ment. 103. The only function that has derivative 2x is x2. 104. The derivative of f(x) 1/x2 is f'(x) 1/(2x). In Problems 105-107, give an example of: 105. Two functions f(x) and g(x) such that d ((x) + g(x)) = 2x + 3. NDO -100
Transcribed Image Text:her or not it is
reasonable to assume g is constant near the surface
(d) What
of the earth?
95. The period, T, of a pendulum is given in terms of its
length, 1, by
T 2T
where g is the acceleration due to gravity (a constant).
(a) Find dT/dl.
(b) What is the sign of dT/dl? What does this tell you
about the period of pendulums?
Sar
Strengthen Your Understanding
In Problems 103-104, explain what is wrong with the state-
ment.
103. The only function that has derivative 2x is x2.
104. The derivative of f(x) 1/x2 is f'(x) 1/(2x).
In Problems 105-107, give an example of:
105. Two functions f(x) and g(x) such that
d
((x) + g(x)) = 2x + 3.
NDO
-100
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