Given d(t) = -2t^2 - 3t + 13, what is the
1 answer:
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To get the equation of tangent, we need a point on it and its slope.
we already have (x1,y1) = (pi/3,2) on the tangent line.
To get the slope of tangent,
m = derivative of y at the given point.
y = sec x
y' = sec x tan x
at x = pi/3,
y' = sec pi/3 tan pi/3
y'= 2
so the slope of tangent is 2
equation will be
y -y1 = m (x-x1)
y - 2 = 2 (x- pi/3)
Thats your equation of tangent.
you can simplify if you want.
we already have (x1,y1) = (pi/3,2) on the tangent line.
To get the slope of tangent,
m = derivative of y at the given point.
y = sec x
y' = sec x tan x
at x = pi/3,
y' = sec pi/3 tan pi/3
y'= 2
so the slope of tangent is 2
equation will be
y -y1 = m (x-x1)
y - 2 = 2
Thats your equation of tangent.
you can simplify if you want.
Answer:
Option A)
Step-by-step explanation:
We are given the following on the question:
where p(t) is the population of a colony.
For steady state solution we evaluate:
Thus, the steady state solution is a constant, k = 1000.
Thus, the correct answer is
Option A)
( xy^2/ x^-3y^3)^-4
