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:
7x + 3y </=8
Step-by-step explanation:
Let x represent the number of rides Beth rides and y represent the number of exhibits she views
Each ride costs $7 to ride and each exhibit costs $3 to view
This means that x rides will cost x × 7 = $7x
Also, if she views y exhibits, the cost will be y × 3 = $3y.
Total cost of x rides and y views will be 7x + 3y
if she has at most $98 to spend at the fair, it means that all she can spend must be lesser than or equal to $98
The required expression will be
7x + 3y </=8
IF I want to rent the paddleboat I have to start with $10 and I have it for an hour it will be 18$. We are increasing by 8 for every hour we have the boat
c = 8h + 10
Answer:
13 ounces
Step-by-step explanation:
Since the package ended up costing $5.81, we subtract the starting cost of 6 ounces, which is $4.90.
We end up with $0.91. Since each additional ounce is $0.13, we divide 0.91 by 0.13.
This gives us seven, which is the amount of additional ounces. Since Mrs. Washington paid 4.90 for the first six ounces and then there were an additional 7 ounces, we add 6 plus 7.
The answer is 13 ounces. Hope this helps!
