absolute values

[anaseer]

I am taking calculus online and I have been stuck with this problem. Please help me to solve it.

An experiment requires that a solution be kept at 50C (celsius) with an error of 3%. You have only a Fahrenheit thermometer. What error are you allowed on it?

 

[Deleted member 4993]

I am taking calculus online and I have been stuck with this problem. Please help me to solve it.

An experiment requires that a solution be kept at 50C (celsius) with an error of 3%. You have only a Fahrenheit thermometer. What error are you allowed on it?

What will be the acceptable range of temperature in Celsius?

Convert that range to Fahrenheit.

The percentage error will remain same - the absolutr error will change.

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[anaseer]

I am taking calculus online and I have been stuck with this problem. Please help me to solve it.

An experiment requires that a solution be kept at 50C (celsius) with an error of 3% (or 1.5 degree) You have only a Fahrenheit thermometer. What error are you allowed on it?

T=50 Celsius
F=9/5 *c+32
F= 122

error at most 3% or (1.5 degree)
To change 1.5C to F
error in F=34.7
I122I < 34.7 (less than or equal to)

Did I do it right

 

[tkhunny]

I122I <= 34.7

Are you SURE you want to go with this? I should fail you for the whole semester for this. Did you just say 122 < 34.7? Please do not think you are done until your result makes at least a litttle sense.

50 + 3%(50) = 51.5
50 - 3%(50) = 48.5

50.0(9/5) + 32 = 122.0
48.5(9/5) + 32 = 119.3
51.5(9/5) + 32 = 124.7

122.0 - 119.3 = 2.7
124.7 - 122.0 = 2.7

2.7 / 122.0 = 0.022131

If T is the observed termerature, |T-122.0| <= 2.7 -- For an absolute temperature measure
If T is the observed termerature, |T-122.0|/122.0 <= 2.2131% -- For a relative temperature measure

 

[anaseer]

Thanks