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:
True
Step-by-step explanation:
Answer:
200 miles
Step-by-step explanation:
one inch = 50 miles, 4 × 50 = 200
Answer:
3 bottles
Step-by-step explanation:
Hello!
First, we find out how many fluid ounces 25 cups of juice hold.
One cup holds 12 fluid ounces so to find 25 we do
25 * 12 = 300 fluid ounces
Next, we find out how many fluid ounces one gallon holds.
One gallon is 4 quarts.
1 quart is 32 fluid ounces so to find how many 4 holds we do
32 * 4 = 128
So one gallon holds 128 fluid ounces
To find how many we need we divide the total needed by how much one bottle holds
300/128 = 2.34
You can't buy exactly 2.34 bottles of juice so we round up to the nearest whole number we will just have extra leftover
The answer is 3 bottles
Hope this helps!
Answer:
w= 7.59
Step-by-step explanation:
