Math 155 exam 1
A manufacturing company produces bolts of a fabric with a fixed width. The cost
of producing x yards of the fabric is c=f(x) dollars
a) what is the meaning of the derivative if f(x)? What are its units
✅✅
b)What does it mean to say f'(1000)=9?
c)compare f'(50) and f'(500) - -a)The rate of change of cost: average cost
per yard/average change in cost
b) After producing 1000 yards of fabric the rate of the cost is increasing at 9
dollars per yard
c) f'(50) > f'(500)
even function symmetric to - ✅✅-y axis
Find HA(root(2xsqrd+1))/3x-5 - ✅✅-positive and negative root2 over 3
graph - ✅✅-limx→∞f(x)=3 limx→2-f(x)=∞ limx→2+f(x)=-∞ f(x) is odd
lim x goes to right zero tan to -1 (1/x) - ✅✅-pi over 2
limtheta→pi/6 (sintheta-1/2)/(theta-π/6) identify f(x) and a - ✅✅-sinx=f(x) a=π/6
limx→-∞ e^(-x^2) - ✅✅-0
limx→-∞ e^x - ✅✅-0
limx→-2 (2-absv(x))/(2+x) - ✅✅--2-=1 -2+=DNE
limx→-3 x^2+3x/x^2-x-12 - ✅✅-3/7
limx→∞ (rootx^2+1)-x - ✅✅-0
limx→∞ e^(-x^2) - ✅✅-0
limx→∞ e^x - ✅✅-infintity
limx→∞ ln(x+2)-ln(x+1) - ✅✅-0
A manufacturing company produces bolts of a fabric with a fixed width. The cost
of producing x yards of the fabric is c=f(x) dollars
a) what is the meaning of the derivative if f(x)? What are its units
✅✅
b)What does it mean to say f'(1000)=9?
c)compare f'(50) and f'(500) - -a)The rate of change of cost: average cost
per yard/average change in cost
b) After producing 1000 yards of fabric the rate of the cost is increasing at 9
dollars per yard
c) f'(50) > f'(500)
even function symmetric to - ✅✅-y axis
Find HA(root(2xsqrd+1))/3x-5 - ✅✅-positive and negative root2 over 3
graph - ✅✅-limx→∞f(x)=3 limx→2-f(x)=∞ limx→2+f(x)=-∞ f(x) is odd
lim x goes to right zero tan to -1 (1/x) - ✅✅-pi over 2
limtheta→pi/6 (sintheta-1/2)/(theta-π/6) identify f(x) and a - ✅✅-sinx=f(x) a=π/6
limx→-∞ e^(-x^2) - ✅✅-0
limx→-∞ e^x - ✅✅-0
limx→-2 (2-absv(x))/(2+x) - ✅✅--2-=1 -2+=DNE
limx→-3 x^2+3x/x^2-x-12 - ✅✅-3/7
limx→∞ (rootx^2+1)-x - ✅✅-0
limx→∞ e^(-x^2) - ✅✅-0
limx→∞ e^x - ✅✅-infintity
limx→∞ ln(x+2)-ln(x+1) - ✅✅-0
