The derivative of sec x is equal to sec x tan x. The derivative of the first derivative can be determined using the rule of products. The derivative is equal to sec x sec^2 x + tan x * sec x tan x. The simplified answer is sec^3 x + sec^2 x tan x equal to sec^2 x ( sec x + tanx )
Answer:
y = 2.5x
Step-by-step explanation:
y = mx + b
m=2.5 (slope) --> y=2.5x+b
coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate
to Find b, input the coordinate --> 5 = 2.5(2) + b
5 = 5 + b
0=b
y= 2.5x
This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.
hope this helps
Answer:
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Step-by-step explanation:
The equation for a right triangle is a^2 + b^2 = c^2.
The only set of lengths to meet this is C
8^2 = 64
6^2 = 36
10^2 = 100
64+36 = 100
Surface area: S
radius: r
diameter: e
time: t
[dS/dt] = [dS/de]*[de/dt] => de/dt = [dS/dt] / [dS/de]
S = 4pi*r^2 = 4p*i(e/2)^2 = pi*e^2 => dS/de =2pi*e
dS/dt = 7cm^2 / min
de / dt = [2pi*e] / [7cm^2/min] =[7cm^2/min] / [2pi*10cm] = 0.11 cm/min