Answer: if u a math person shouldn't u know how to do it?
Step-by-step explanation:
Answer : 100 meters 2:35/mile or 1:36/km 2:49/mile or 1:45/km
200 meters 2:35/mile or 1:36/km 2:52/mile or 1:47/km
400 meters 2:54/mile or 1:48/km 3:12/mile or 1:59/km
800 meters 3:23/mile or 2:06/km 3:48/mile or 2:21/km
1,500 meters 3:41/mile or 2:17/km 4:07/mile or 2:34/km
1 mile 3:43/mile or 2:19/km 4:13/mile or 2:37/km
5K 4:04/mile or 2:31/km 4:34/mile or 2:50/km
10K 4:14/mile or 2:38/km 4:45/mile or 2:57/km
Half Marathon
(13.11 miles / 21.098 km) 4:27/mile or 2:46/km 4:58/mile or 3:05/km
Marathon
(26.22 miles / 42.195 km) 4:41/mile or 2:55/km 5:10/mile or 3:13/km
Step-by-step explanation: sorry if this is wromg :/ ( but if it is please add me as the brainist answer )
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
Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
