Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Answer: 9.42
Step-by-step explanation: add 3 then times by 3.14 then divide by 2
Answer:
original number is 18.07
Step-by-step explanation:
Let the original number be x
x - 17% of x = 15
x* (1 - 0.17) = 15
x * 0.83 = 15
x = 15/0.83
x = 18.072289156
Or if your wording meant 17% of a number is 15 then:
x * 17% = 15
x *0.17 = 15
x = 15/0.17 = 88.23529...
but I think you meant "decreased by 17%" so I choose x = 18.07
Answer:
The monthly fee would be $23
Step-by-step explanation:
hope it helps mark as brainllest if help!!!
Answer:
You multiply 37.5*2 to get 75.
Step-by-step explanation:
