Answer:
C, 
Step-by-step explanation:
The number of coyotes is decreasing, which makes it negative, but you can't have a negative year, so the answer must be 
The polynomial is a third degree polynomial with x and y terms so when written in standard form x comes before y and the x^3 is going to be the first term. The first term of this polynomial is 8x^3, aka the second answer choice.
7 + 2(x - 3) + 5x
= 7 + 2x - 6 + 5x <em>distributed 2 into x - 3</em>
= 7 - 6 + 2x + 5x <em>grouped like terms together</em>
= 1 + 7x
You didn't provide an image of the steps but hopefully you can figure it out based on the information I provided.
Answer:
0 < x < 12
Step-by-step explanation:
Since it's given that side a and side b both have a length of 6, side c has to be 0 < x < 12.
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
<u>a) The x-axis </u>
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) 
=
∴ Vol = 8π
<u>b) The line y = 2 ( using the shell method )</u>
p = 2 - y
h = y^2
vol = ( 2π )
= 
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
<u>c) The y-axis ( using shell method )</u>
h = 2-y = h = 2 - √x
p = x
vol = 
= 
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
<u>d) The line x = -1 (using shell method )</u>
p = 1 + x
h = 2√x
vol = 
Hence vol = 176/15 π
attached below is the graphical representation of P and h