Use the fundamental counting principle to count the number of outcomes. A sports shop sold tennis rackets in 3 different weights, 3 types of string, and 4 grip sizes. How many different rackets could they sell?
A. 10
B. 24
C. 27
D. 36
Answer: D
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Use the precise definition of a limit to prove the limit. Specify a relationship between ? and ? that guarantees the limit exists.
= 
A. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
= ?. That is, for any ? > 0, 
< = ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
= 
.
B. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
= ?. That is, for any ? > 0, 
= ? whenever 0 <
< ?, provided 0 < ? ? 
. Therefore, 
= 
.
C. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
= ?. That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
= 
.
D. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
= ?. That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ?
. Therefore, 
= 
.
Find the standard form of the equation of the ellipse satisfying the given conditions.Major axis horizontal with length 10; length of minor axis = 8; center (0, 0)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Evaluate the polynomial for the given value.2 - x2
(a) x = 3, (b) x = 
, (c)x = 3
A. (a) 11, (b) 
, (c) 11.00
B. (a) -4, (b) 
, (c) -2.00
C. (a) -7, (b) 
, (c) -7.00
D. (a) 11, (b) 
, (c) -7.00
Perform the indicated operation.(-3x4 + 9x6 + 7 + 6x5) - (-9 - 3x5 + 5x6 + 5x4)
A. 4x6 + 9x5 - 8x4 + 16 B. 14x6 + 3x5 + 2x4 - 2 C. 4x6 + 3x5 + 2x4 - 2 D. 14x6 + 3x5 + 2x4 + 16