Answer:
56.31 degrees
Step-by-step explanation:
6 = opposite and 4 = adjacent
Tan = opposite over adjacent
Tan(theta)=6/4
=56.30993247
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
Answer:
1296
Step-by-step explanation:
the y is multiplying by six each time 6*6 = 36
36*6 = 216
216*6 = 1296
2196 = 7776
Answer:
a+4b-24
Step-by-step explanation:
4(1/4a+b−6)
=(4)(1/4a+b+−6)
=(4)(1/4a)+(4)(b)+(4)(−6)
=a+4b−24
The outlier is 3, and the outlier has a greater effect on the mean because it is an average of all numbers where as the median is just the middle value in the data set. Everything else you can do on your own. To find the mean you add all the numbers up and divide by the total amount of numbers there are, the median you just cross one out from the left and then cross one out from the right and continue doing this until you are left with one number, or if you are left with two numbers you can add those two numbers up and then divide them by 2