Answer:
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Answer:
342
Step-by-step explanation:
Notice that each term is increasing by 7
Also notice that we already have 4 terms, meaning we have to find the remaining 62 terms
Multiply 62 by 7
62 x 7 = 434
Add that number to the first term, -92
-92 + 434 = 342
X = 4(cosθ - cos²θ) = 4cosθ - 4cos²<span>θ
</span>dx/dθ = -4sinθ + 8sinθcosθ = -4sinθ(1 - 2cos<span>θ)
dy/d</span>θ = 4(cosθ - cos²θ + sin²θ) = 4(cos<span>θ - 1)
</span>∴dy/dx = 4(cosθ - 1)/-4sinθ(1 - 2cosθ) = 1-cosθ/(sinθ - 2sinθcosθ<span>)
Now, we're finding a horizontal tangent, which is when dy/dx = 0 (horizontal tangent).
1-cos</span>θ/(sinθ - 2sinθcosθ) = 0
1-cosθ = 0
cosθ = 1
θ = 0, 360 in the interval [0, 360].
At θ = 0, x = 0, y = 0
Only points in the open interval [-2π, 2π] are at (0, 0), unless I made a mistake somewhere.
Answer:
Option (2) and Option (4)
Step-by-step explanation:
From the picture attached,
Length of ladder AC = 20 feet
Height of the highest point of the ladder from ground AB = 16 ft
By Pythagoras theorem,
AC² = BC² + AB²
BC² = AC² - AB²
BC = 
= 
= 
= 12
Now, Sinθ = 
= 
Cosθ = 
= 
tanθ = 
= 
Therefore, Option (2) and Option (4) are the correct options.
