Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?
2 answers:
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Answer:
82.5 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 7.5, b₁ = 7 and b₂ = 15 , then
A = × 7.5 × (7 + 15) = 0.5 × 7.5 × 22 = 82.5 ft²
The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
Armed with the above rules, we can split up the summation into simple terms:
=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14
(c) the maximum value of f(x) is f(14)=196
Armed with the above rules, we can split up the summation into simple terms:
=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14
(c) the maximum value of f(x) is f(14)=196