For Exercises 11-16, match the probability with a statement a , b , c , d , e , or f . a. Event E is certain to happen. b. Event E cannot happen. c. Event E is very likely to happen. d. Event E is very unlikely to happen. e. Event E is somewhat likely to happen. f. Event E is as likely to happen as not to happen. P E = 1
For Exercises 11-16, match the probability with a statement a , b , c , d , e , or f . a. Event E is certain to happen. b. Event E cannot happen. c. Event E is very likely to happen. d. Event E is very unlikely to happen. e. Event E is somewhat likely to happen. f. Event E is as likely to happen as not to happen. P E = 1
Solution Summary: The author explains that the match of the probability P(E)=1 from the given statements is option (a).
Use the information in the following table to find h' (a) at the given value for a.
x|f(x) g(x) f'(x) g(x)
0
0
0
4
3
1
4
4
3
0
2
7
1
2
7
3
3
1
2
9
4
0
4
5
7
h(x) = f(g(x)); a = 0
h' (0) =
Use the information in the following table to find h' (a) at the given value for a.
x f(x) g(x) f'(x) g'(x)
0
0
3
2
1
1
0
0
2
0
2
43
22
4
3
3
2
3
1
1
4
1
2
0
4
2
h(x) = (1/(2) ²;
9(x)
h' (3)=
=
; a=3
The position of a moving hockey puck after t seconds is s(t) = tan
a. Find the velocity of the hockey puck at any time t.
v(t)
=====
b. Find the acceleration of the puck at any time t.
-1
a (t)
=
(t) where s is in meters.
c. Evaluate v(t) and a (t) for t = 1, 4, and 5 seconds. Round to 4 decimal places, if necessary.
v (1)
v (4)
v (5)
a (1)
=
=
=
=
a (4) =
a (5) =
d. What conclusion can be drawn from the results in the previous part?
○ The hockey puck is decelerating/slowing down at 1, 4, and 5 seconds
○ The hockey puck has a constant velocity/speed at 1, 4, and 5 seconds
○ The hockey puck is accelerating/speeding up at 1, 4, and 5 seconds
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