In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) ( 6 , 2 ) , ( 0 , − 4 ) , ( 7 1 2 , 3 1 2 ) , ( 2 , − 2 ) , ( 3 , _ _ _ _ )
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) ( 6 , 2 ) , ( 0 , − 4 ) , ( 7 1 2 , 3 1 2 ) , ( 2 , − 2 ) , ( 3 , _ _ _ _ )
Solution Summary: The author explains how the given series follows the pattern that the pair of numbers in the parentheses has a difference of 4
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.)
(c) Let G be the group with Cayley table given below. Show that G is not a group.
d
*
e
a
b
C
e
e
a
b C
d
a
b
00
a
e
с
d
b
b
C
e
b
a
с
C
d b
e
C
dd
b
a
C
e
1.evaluate using gamma function
Find the factorial of
a.3*7/2!
b.(13/2)! * 6! * 2/3
Please don't use artificial intelligence
A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The foot of the ladder begins to slide at a rate of 2 ft/sec, causing the top of the ladder to slide down the wall. The location of the foot of the ladder, its x coordinate, at time t seconds is given by
x(t)=7+2t.
wall
y(1)
25 ft. ladder
x(1)
ground
(a) Find the formula for the location of the top of the ladder, the y coordinate, as a function of time t. The formula for y(t)= √ 25² - (7+2t)²
(b) The domain of t values for y(t) ranges from 0
(c) Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimal places):
. (Put your cursor in the box, click and a palette will come up to help you enter your symbolic answer.)
time interval
ave velocity
[0,2]
-0.766
[6,8]
-3.225
time interval
ave velocity
-1.224
-9.798
[2,4]
[8,9]
(d) Find a time interval [a,9] so that the average velocity of the top of the ladder on this…
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