Answer:
1394
Step-by-step explanation:
You can derive a formula for the k-th term of the sequence, but for a few terms, it is just as easy to evaluate them.
P₂₀₁₉ = 0.81(P₂₀₁₈ +25) = 0.81(2530 +25) = 2069.55
P₂₀₂₀ = 0.81(P₂₀₁₉ +25) = 0.81(2069.55 +25) = 1696.5855
P₂₀₂₁ = 0.81(P₂₀₂₀ +25) = 0.81(1696.5855 +25) ≈ 1394.48
At the start of 2021, there are predicted to be 1394 eagles in the park.
Solutions
To solve the given equation lets use double-angle theorem. Double-angle formulas allow the expression of trigonometric functions of angles equal to 2α<span> in terms of </span>α<span>, which can simplify the functions and make it easier to perform more complex calculations, such as integration, on them.
</span>cos(3t)=cos^3(t)-3sin^2(t)cos(t)
cos(A+B) = cosAcosB - sinAsinB
<span>Now cos(3t) = cos(2t+t) </span>
⇒<span>cos(2t)cos(t) - sin(2t)sin(t) </span>
⇒<span>(2cos^2(t)-1)cos(t) - 2sin(t)cos(t)sin(t) </span>
⇒<span> 2cos^(3)t - cos(t) - 2sin^2(t)cos(t) </span>
⇒<span> 2cos^3(t) - cos(t) - 2(1-cos^2(t))cos(t) </span>
⇒<span>2cos^3(t) - cos(t) - 2cos(t) + 2cos^3(t) </span>
⇒4cos^3(t) - 3cos(t)
Answer:
- extra
Step-by-step explanation:
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Answer:
I think the answer would be A
