8 cm Scale: 1 cm 4 m What is the actual height of the lighthouse?
1 answer:
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Answer:
- local minimum at x = -3-2√14
- local maximum at x = -3+2√14
Step-by-step explanation:
The first derivative simplifies to ...
d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2
This has zeros that can be found by the usual methods of solving quadratics:
x = -3 ±2√14
The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)
Answer:
a₅₂ = - 212
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 8 and d = a₂ - a₁ = - 12 - (- 8) = - 12 + 8 = - 4 , then
a₅₂ = - 8 + (51 × - 4) = - 8 - 204 = - 212