Calculus I MATH 1512 (4) University of New Mexico (UNM) Q&A Practice Quiz

1. if

Calculus I MATH 1512 (4) University of New Mexico (UNM) Q&A Practice Quiz

1. if (c. (c) is a point of inflection of the graph of f, then either (c)=0 or is undefined at c

Answer: Points of inflection

2. Where first derivative in O or undefined

Answer: Critical Value

3. Use critical values and END POINTS in the function

Answer: Find abso ste extrema

4. If mon: NO HA If man: HA=co-eff of mico-eff of n

men: HA: y=0 Answer Horizontal Asymptote Rules

5.fx continuous on [a b] and differentiable on (a,b), there is at least one point (xc) where f(c) F(b)-Fia)/b-a

Answer: Mean Value Theorem

6. Iff is continuous on [a,b] then f has an absolute maximum and an absolute minimum on [a.b]. The global extrema occurs at critical points in the interval or at endpoints of the interval

Answer Extreme Value Theorem

7. Iff is continuous on [a, bij and kis a number between f(a) and (b), then there exists at least one number a such that fick

Answer: Intermediate Value Theorem

8. f(x) s continuous on the closed interval (a, b), differentiable on (a, b), and salistes f(a) (b), then for some c in the interval (a, b) we have fic) 0 Answer Role’s Theorem

9. Find HA: y=(x+2)/(sqr(x^2+3))

Answer: y=and y=-1

10. A pair of equations that define the x and y coordinates of a point in terms of athird variable called a parameter

Answer parametric equations

11. Given x and y how to parameterize?

Answer Tabel tixy Plug in xy to graph

12. An object moving along a line through the point (x0, 0), with dx/dta and dyidt has parametric equations

Answerxat,y-yobt

13. Horizontal Asymptote for exponential functions?

Answer. yklif ye^x+k)

14. If the function is not continuous, does the limit exist?

Answer: The limit exists if there is removable discontinuity

15. What happens if you haff delta(n) while calculating integral?

Answer: The difference between upper and lower estimate gets halved, more accu

rate prediction since velocity is measured more frequently