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chapter 3
1. Given p(x)=1-(1/x)+x³, compute the following expressions (you do not need to simplify):
a.p(r+1)=
b.p(x+h)=
2. Find the domain of f , where f is given below:
a.f(x)=((√(x-4))/(x²-1))
b.f(x)=x³-(1/(x+4))+1
3. Find (g(x+h)-g(x))/h of g(x)=((-2)/(x-3)).
4. Suppose a bullet is fired into the air from a platform 8ft above the ground with an initial velocity of 2800ft/s. (Hint: use h(t) = -16t2+vot+ho)
a.What is the maximum height?
b.When does the bullet hit the ground?
c.Find the average velocity from t=65 to t=70.
d.Find the average velocity from t=120 to t=125.
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5. A rock is dropped into a well and its height from the bottom of the well is h(t)=d-16t², where d is the depth of the well. If it takes 4.4 seconds to hear the rock reach the bottom, how deep is the well? Hint: (sound travels aprox. 740mi/hr)
6. The volume V of a gas varies directly as the temperature T and inversely as the pressure P. The volume of a particular gas is 245cm³ when the temperature is 56°F and the pressure is 25((kg)/(cm³)). Find the pressure of the gas when the volume is 210 cm³ and the temperature is 45°F.
7. Find the equation of a line through (2,3) and (-4,5)