Answer:
(a) 36
(b) y = 36x-31
Step-by-step explanation:
(a) dy/dx = 18x
slope of tangent at (2, 41) = 18(2)
= 36
(b) using y-y1 = m(x-x1)
y-41 = 36(x-2)
y = 36x-31
Answer:
C=5.831
a=30.964
b=59.036
Step-by-step explanation:
Total number of stocks bought = 20
Rate at which each stocks were bought = 31 1/2
= 63/2
Rate at which 20 stocks were bought = 20 * (63/2) dollars
= 10 * 63 dollars
= 630 dollars
Rate at which each stocks were sold = 35 1/4
= 141/4 dollars
Rate at which 20 stocks were sold = 20 * (141/4) dollars
= 5 * 141 dollars
= 705 dollars
Then
Amount of profit made by selling 20 stocks = (705 - 630) dollars
= 75 dollars
So the total amount of profit made is $75. The correct option in regards to the given question is option "D".
Answer:
The equation that can be used to find the missing number is 96 - 12n = 3 + n
Step-by-step explanation:
The difference of 8 less a number n
This is 8 - n
Multiplied by twelve
This is:
12(8 - n) = 96 - 12n
Is equal to 3 more than the number.
96 - 12n = 3 + n
The equation that can be used to find the missing number is 96 - 12n = 3 + n
Consider a circle with radius 
centered at some point 
on the 
-axis. This circle has equation
Revolve the region bounded by this circle across the 
-axis to get a torus. Using the shell method, the volume of the resulting torus is
where 
.
So the volume is
Substitute
and the integral becomes
Notice that 
is an odd function, so the integral over ![\left[-\frac\pi2,\frac\pi2\right]](https://tex.z-dn.net/?f=%5Cleft%5B-%5Cfrac%5Cpi2%2C%5Cfrac%5Cpi2%5Cright%5D)
is 0. This leaves us with
Write
so the volume is
