#1) (p205 #11) analyze a polynomial with these roots: {-1,1,3}
f(x)=(x+1)*(x-1)*(x-3)
show(f(x))
show(expand(f(x)))
show(plot(f(x),-2,4))
show(max([f(x) for x in srange(-1,1,.001)]))
show(min([f(x) for x in srange(1,3,.001)]))
solve([(x+1)*(x-1)*(x-3)==2],x)
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#2) (p205 #17) analyze the polynomial: 3(x-7)(x+3)^2
f(x)=3*(x-7)*(x+3)^2
show(f(x))
show(expand(f(x)))
show(plot(f(x),-4,8))
show(max([f(x) for x in srange(-4,-2,.001)]))
show(min([f(x) for x in srange(3,4,.001)]))
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#3) (p205 #29) analyze the polynomial: x^2(x-3)
f(x)=x^2*(x-3)
show(f(x))
show(expand(f(x)))
show(plot(f(x),-2,4))
show(max([f(x) for x in srange(-1,1,.001)]))
show(min([f(x) for x in srange(1,3,.001)]))
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#4) A function C(x) is given where C is the cost in $10^3
#4) of producing x cars each hour at a manufacturing plant
#4) find the average rate of change from (4,43) to (5,50)
#4) in $10^3/car
m=(50-43)/(5-4)
m
7 7 |
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