C(t) =250sin(2pie/5t)+2450

Thando Mashava

Thando Mashava

Answered question

2022-06-07

C(t) =250sin(2pie/5t)+2450

Answer & Explanation

RizerMix

RizerMix

Expert2023-05-19Added 656 answers

The given equation is:
C(t)=250sin(2π5t)+2450
In this equation, C(t) represents the value of some quantity at time t. The equation involves a sine function with a frequency of 2π5 and an amplitude of 250. The constant term 2450 represents an offset or vertical shift.
To understand this equation further, let's break it down:
- The term sin(2π5t) represents the sine function with argument 2π5t. This term determines the variation of the quantity over time. The frequency of 2π5 indicates that the quantity completes 5 cycles within the interval of 2π.
- The term 250sin(2π5t) scales the amplitude of the sine function. Multiplying the sine function by 250 stretches or compresses the oscillation vertically.
- The constant term 2450 represents a vertical shift or offset. It moves the entire graph of the function upward or downward.
By combining these components, we obtain the overall function C(t).

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