Answer:
Step-by-step explanation:
Rn(x) →0
f(x) = 10/x
a = -2
Taylor series for the function <em>f </em>at the number a is:
............ equation (1)
Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2
f(x) = 10/x f(-2) = 10/-2
f'(x) = -10/x² f'(-2) = -10/(-2)²
f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³
f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴
f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵
∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)
So, we get 
Or
Hello!
To find the surface area of the given cylinder, we need to use the formula of the surface area of a cylinder.
The formula for the surface area of a cylinder is SA = 2πrh + 2πr².
In this formula, r is the radius and h is the height.
In the given diagram, we see that the height is 6 meters, and the radius 9 meters. With those values, we can substitute them into our formula and solve for the surface area.
In some cases, you are given the diameter. To find the radius, you would need to divide the diameter by two.
SA = 2π(9)(6) + 2π(9)²
SA = 54(2π) + 2(81π)
SA = 108π + 162π
SA = 270π
SA ≈ 848.2 m²
Therefore, the surface area of the given cylinder is choice A, 848.2 m².
Answer: $10.50
Step-by-step explanation:
Given the following :
Number of people entering the park = X
Mean number of people = 3
Fixed admission fee = $6
Additional fee per passenger = $1.50
Therefore, mean total paid by a car entering the park :
MEAN Total = Admission fee + (additional fee * mean number of people entering the park)
mean Total = $6 + ($1.50 * 3)
Mean total = $6 + $4.50 = $10.50
