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Answer:
Step-by-step explanation:
Given
Required
Solve
Collect like terms
Subtract 3.8 from both sides
Divide through by 2
Answer
5.5cm
Step-by-step explanation:
The radius of a circle is the distance from the center of the circle to any point on its circumference.
The easiest way to find the radius is by dividing the diameter in half.
Radius = 1/2 × diameter
Here diameter is given as 11 cm.
Hence Radius = 1/2 × 11 cm.
= 11/2 cm.
= 5.5 cm.
Answer:
11x + 8y
Step-by-step explanation:
(5x + 5y) + 3 ( 3 · 2x + 3y)
(5x + 5y) + (6x + 3y)
5x + 5y + 6x + 3y
5x + 6x + 5y + 3y
11x + 8y
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)!)
