Answer:
the answer is 5.5 thank me later
The height of the tide after eight hours is 16 feet.
<h3>How to illustrate the function?</h3>
From the information given, the function is given as 5cos (π/4)t + 11.
In this case, the time is given as eight hours. This will be:
f(8) = 5 × cos (π/4) × 8 + 11
f(8) = 5 × cos(2π) + 11
= (5 × 0.999) + 11
= 16 feet
The height is 16 feet.
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Find the derivative:-
y' = 8x - 6x^2
This is the slope in terms of x.
When x = a , the slope is
8a - 6a^2
(b) equation of tangent line at x1,y1
is y- y1 = (8x - 6x^2)( x - x1) , so at (1,11) it is
y - 11 = (8(1) - 6((1)^2) ) (x - 1)
y = 2(x - 1) + 11
y = 2x + 9 (answer)
At (2,9)
y - 9 = (16-24)(x - 2)
y - 9 = -8x + 16
y = -8x + 25 answer
