Expand the expression as
(<em>s</em> + 1)³/<em>s</em> ⁵ = (<em>s</em> ³ + 3<em>s</em> ² + 3<em>s</em> + 1)/<em>s</em> ⁵
… = 1/<em>s</em> ² + 3/<em>s</em> ³ + 3/<em>s</em> ⁴ + 1/<em>s</em> ⁵
Then taking the inverse transform, you get
LT⁻¹ [1/<em>s</em> ² + 3/<em>s</em> ³ + 3/<em>s</em> ⁴ + 1/<em>s</em> ⁵]
… = LT⁻¹ [1/<em>s</em> ²] + LT⁻¹ [3/<em>s</em> ³] + LT⁻¹ [3/<em>s</em> ⁴] + LT⁻¹ [1/<em>s</em> ⁵]
… = LT⁻¹ [1!/<em>s</em> ²] + 3/2 LT⁻¹ [2!/<em>s</em> ³] + 1/2 LT⁻¹ [3!/<em>s</em> ⁴] + 1/24 LT⁻¹ [4!/<em>s</em> ⁵]
… = <em>t</em> + 3/2 <em>t</em> ² + 1/2 <em>t</em> ³ + 1/24 <em>t</em> ⁴
Answer:
3/8 cups
Step-by-step explanation:
Total fraction = 1/4 + 1/8
= 2/8 + 1/8
= 3/8
Answer:
Lewis's friend walked with him 9/25 miles
Step-by-step explanation:
Given that
Lewis walked 9/10 of a mile
And His friend accompanied him on 2/5 of the way.
This is a simple question of fraction multiplication
The fraction 2/5 has to multiplied with the miles walked by lewis
So

Hence,
Lewis's friend walked with him 9/25 miles
The translation of the sum a and n is a+n