An EEG amplifier's input-output relationship is given by y=100x+0.5x2. What is the static sensitivity around the input of x=5 ? Round your answer to three significant figures.

Question

An EEG amplifier's input-output relationship is given by y=100x+0.5x2. What is the static sensitivity around the input of x=5 ? Round your answer to three significant figures.

BlackTom AI · Accepted Answer

First, identify the static sensitivity of an amplifier with an input-output relation y = 100x + 0.5x^2. Static sensitivity is the small-signal slope dy/dx evaluated at the operating point.

Next, compute the derivative dy/dx = d/dx [100x + 0.5x^2] = 100 + x. This derivative gives the instantaneous change in output per unit change in input at any input level x.

Then, substitute the operating point x = 5 into the derivative: dy/dx |_{x=5} = 100 + 5 = 105.

Finally, round to three significant figures. The value 105 already has three significant figures, so the static sensitivity around x = 5 is 105 (in the same units as y per unit x).

An EEG amplifier's input-output relationship is given by y=100x+0.5x2. What is the static sensitivity around the input of x=5 ? Round your answer to three significant figures. 简答题

类似问题

Which answer choice explains why furanoses and pyranoses can be reduced by sodium borohydride despite having no carbonyl functional groups.

Which of the following statements describes a glycoside?

Which of the following structures represents chitin?

In solution, glucose exists in

According to Xenophanes, what should be avoided at a symposium?

What is "kottabos"?

Why are there so many naked figures in vase iconography?

Why was it necessary to have a "hydria" as part of the ceramic vessels used at a symposium?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单