MAT 210 Final Exam
Limit approaching infinity - ANS--take highest degree terms and cancel like terms
- if there is an x on the top = infinity it was approaching
- if there is an x on the bottom = 0
Other limits - ANS-factor out like terms and then plug in limit
Continuity - ANS-take closed circle point for x, left and right limit must = the same
number otherwise DNE
ARC - ANS-f(b) -f(a)/b-a units of y per units of x
Explaination of ARC - ANS-on average
1) what is changing?
2) increased or decreased?
3) by what amount?
4) what units?
5) between when?
Velocity - ANS-derivative of distance (can be negative)
Equation of the tangent line - ANS-1) point (find y value by plugging into function)
2) m = slope of tangent line (plug in x)
3) use y=mx+b and solve for b
4) use answer to make line equation
Marginal Profit - ANS--R'(x) - c'(x)
-per additonal unit
Explaination of Marginal Profit - ANS-1) Revenue from 21st item/one additonal after 20
2) of what?
3) will produce what profit $ amount?
Average Cost - ANS-total cost/quantity produced
C(x)/ x
Derivative Power Rule - ANS-f(x) = hx^n
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