PENN STATE MATH 110 FINAL EXAM
WITH CORRECT ANSWERS 2025
Demand ( correct answers ) p(x)
Revenue ( correct x(p(x))
answers )
Total Cost ( correct answers fixed cost-variable
) cost
Average Cost ( correct answers )
(C(x))/x
Profit ( correct answers ) R(x)-
C(x)
R(x)=C(
Break even level ( correct x)
s(x)=d(
answers ) Equilibrium point x)
limits as x approaches infinity and or negative infinity or horizontal
asymptote: the powers
( correct answers ) are the same in the denominator and divid
numerator ( correct answers ) e
coefficients
limits as x approaches infinity and or negative infinity or horizontal
asymptotes: the power in the denominator is bigger ( correct answers )
0
limits as x approaches infinity and or negative infinity: the power in the
numerator is higher ( correct answers ) DNE
the chain rule ( correct answers ) f'(g(x))*g'(f(x))
Product rule ( correct answers ) [f(x)*g'(x)]+
[g(x)*f'(x)]
Quotient rule ( correct answers )
(LowDhigh-highDlow)/low^2 point slope form
( correct answers ) y-y1=m(x-x1)
derivative of e^x=( correct answers ) e^x
derivative of e^f(x)= ( correct
answers ) e^f(x) * f'(x) ln(e)= ( correct
answers ) 1
WITH CORRECT ANSWERS 2025
Demand ( correct answers ) p(x)
Revenue ( correct x(p(x))
answers )
Total Cost ( correct answers fixed cost-variable
) cost
Average Cost ( correct answers )
(C(x))/x
Profit ( correct answers ) R(x)-
C(x)
R(x)=C(
Break even level ( correct x)
s(x)=d(
answers ) Equilibrium point x)
limits as x approaches infinity and or negative infinity or horizontal
asymptote: the powers
( correct answers ) are the same in the denominator and divid
numerator ( correct answers ) e
coefficients
limits as x approaches infinity and or negative infinity or horizontal
asymptotes: the power in the denominator is bigger ( correct answers )
0
limits as x approaches infinity and or negative infinity: the power in the
numerator is higher ( correct answers ) DNE
the chain rule ( correct answers ) f'(g(x))*g'(f(x))
Product rule ( correct answers ) [f(x)*g'(x)]+
[g(x)*f'(x)]
Quotient rule ( correct answers )
(LowDhigh-highDlow)/low^2 point slope form
( correct answers ) y-y1=m(x-x1)
derivative of e^x=( correct answers ) e^x
derivative of e^f(x)= ( correct
answers ) e^f(x) * f'(x) ln(e)= ( correct
answers ) 1