1. A rock dropped from the top of a building falls y = 9t2 ft in t seconds. a. Find the average speed during the first 4 seconds of fall. b. Find the instantaneous velocity at 3 seconds. 2. Find the limit algebraically (NO CALCULATOR) →
a. lim
b. lim →
3. Determine the limit (NO CALCULATOR) a. lim
b. lim
→ .
→ .
4. True/False a. lim = 4
5.
→
a. lim = →
b. lim =
b. lim =
→
→
c. lim = 4
c. lim =
→
→
d. lim = 2
d. f(0) =
→
e. lim = 2 →
f. lim = →
5. Assume that lim = 6 and lim $ = 3. →"
a. lim &2 − $( = →"
→"
b. lim = →"
6. Use either a graph or a table to determine the limits for = a. lim
b. lim
→,
→,
→"
+
c. Identify any horizontal asymptotes
-→,
7. Use a graph or a table to find the limit: lim
8. Find the lim and lim if = . + 11 . →,
→,
9. Find a power function end behavior model for =
1. (No Calculator)
+
10. Find the limit of f(x) as (a) x → ∞ (b) x → −∞ (c) x → 0 (d) x → 0
, = 4 −1,
≤0 8 >0
)
c. lim *
11. Find the points of continuity and the points of discontinuity. Identify each discontinuity.
a. 9 = "
b. 9 =
" :
12. What value could be assigned to f(1) to make the extended function continuous?
13. Find each point of discontinuity. Which are removable? 3 − , < 2 = 2> = ; 2, /2, > 2 14. Five a formula for the extended function that is continuous at the indicated point. =
: at
x=4
15. Find a value for a so that the function is continuous. 4 − , < −1 = ? B @ − 1, ≥ −1
16. Find the average rate of change of the function over the given interval. = − 1 [−2, 3] 17. Find the following for = 4 − @ x = 3 a. the slope of the curve at the given x value. b. an equation of the tangent c. an equation of the normal
18. At t seconds after lift-off, the height of a rocket is 2t2 ft. How fast is the rocket climbing after 9 seconds?
Page 1 of 2. Calculus BC Name: Review Ch 2. 1. A rock dropped from the top of a building falls y = 9t2. ft in t seconds. a. Find the average speed during the first 4 seconds of fall. b. Find the instantaneous velocity at 3 seconds. 2. Find the limit algebraically (NO CALCULATOR). a. lim. â. b. lim. â. 3. Determine the limit (NO ...
Jan 30, 2018 - More intuitively, this notation means that the remainder (all the higher order terms) are about the size of the distance between ... We don't know µ, so we try to use the data (the Zi's) to estimate it. ⢠I propose 3 ... Asymptotica
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