Divide both sides by 2
a-c=2a
minus a fromboth sides
-c=a
Answer:
f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)
Step-by-step explanation:
f(x) = eˣ
Expand using first Taylor Polynomial based around b = 0
The Taylor's expansion based around any point b, is given by the infinite series
f(x) = f(b) + xf'(b) + (x²/2!)f"(b) + (x³/3!)f'''(b) + ....= Σ (xⁿfⁿ(b)/n!) (Summation from n = 0 to n = ∞)
Note: f'(x) = (df/dx)
So, expanding f(x) = eˣ based at b=0
f'(x) = eˣ
f"(x) = eˣ
fⁿ(x) = eˣ
And e⁰ = 1
f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)
Answer:
Step-by-step explanation:
To the nearest 1d.p=3.9
To the nearest hundredth=3.87
<em>Answer:</em>
<em> 200.52 m²</em>
<em>Step-by-step explanation:</em>
<em>A = 12² + π·6²/2</em>
<em>= 144 + 36π/2</em>
<em>= 144 + 18×3.14</em>
<em>= 144 + 56.52</em>
<em>= 200.52 m²</em>
<em />
Answer:Answer: the total number of views that the video got over the course of the first 27 days is 718833
Step-by-step explanation:
The number of views that the video got each day increased by 18% per day. It means that the number of views is increasing in geometric progression. The formula for determining the sum of n terms(days), Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of terms(days) in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 1500
r = 1 + 18/100 = 1.18
n = 27 days
Therefore, the sum of the first 27 terms, S27 is
S27 = (1500 × 1.18^(27) - 1)/1.18 - 1
S27 = (1500 × 86.26)/0.18
S27 = 718833
Hopefully It helps:)
