# 1.3

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1. If a ball is thrown in the air with a velocity 46 ft/s, its height in feet t seconds later is given by y = 46t -16t^2.
a. Find the average velocity for the time period beginning when t = 2 and lasting
b. Estimate the instantaneous velocity when t = 2.
If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given by y = 48t -16t^2.
c. Find the average velocity for the time period beginning when t = 2 and lasting
d. Estimate the instantaneous velocity when t = 2.
If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given by y = 50t -16t^2.
e. Find the average velocity for the time period beginning when t = 2 and lasting
f. Estimate the instantaneous velocity when t = 2.
Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
For the function g whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
4. If an arrow is shot upward on the moon with a speed of 64m/s its height in meters t seconds later is given by y = 64t – 0.83t^2 (Round your answer to two decimal places.)
(a) Find the average speed over the given time intervals.
(b) Estimate the speed when t = 1

If an arrow is shot upward on the moon with a speed of 68m/s its height in meters t seconds later is given by y = 68t – 0.83t^2 (Round your answer to two decimal places.)
(c) Find the average speed over the given time intervals.
(d) Estimate the speed when t = 1

5. Evaluate the function f(x) at the given numbers(correct to six decimal places).
f(x) = (x^2-3x)/(x^2-2x-3), x = 0,-0.5,-0.9,-0.95,-0.99,-0.999,-2,-1.5,-1.01,-1.001
f(0) = 0
f(-0.5) = -1
f(-0.9) = -9
f(-0.95) = -19
f(-0.99) = -99
f(-0.999) = -999
f(-2) = 2
f(-1.5) = 3
f(-1.1) = 11
f(-1.01) =101
f(-1.001) = 1001
Guess the value of the limit of f(x) as x approaches -1, correct to six decimal places. (If an answer does not exist, enter DNE.)
lim x approaches -1 [(x^2-3x)/(x^2-2x-3)] = DNE
**All answers are the same for this problem even with different red numbers. **

6. Use a table of values to estimate the value of the limit. If you have a graphing device use is to confirm your results graphically. (Round your answer to two decimal places.)
Lim x approaches 0 ((sqrt(x+49)-7))/x