Answer: (a) Yes. The table is a function.
<u>Step-by-step explanation:</u>
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.
Answer:
26,880/12%=224000
Step-by-step explanation:
Find Volume of 1 tennis ball:----------------------------------------------Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³
Volume of 1 tennis ball = 8.18 in³
----------------------------------------------Find Volume of 3 tennis balls:----------------------------------------------Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³
----------------------------------------------Find Volume of teh cylindrical canister:----------------------------------------------Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)
Volume of the cylindrical canister = 52.99 in³
----------------------------------------------Find unoccupied space:----------------------------------------------Unoccupied space = 52.99 - 24.54
Unoccupied space = 28.45 in³
----------------------------------------------Answer: 28.45 in³----------------------------------------------
Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
The 4 functions are:
Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:
for large values of x
In this problem, we can see that the only quadratic function is
, while all the others are linear functions, so the function that grows faster for large values of x is
