Question

P=√2e/f

e= 6.8 correct to 1 decimal place.
f=0.05 correct to 1 significant figure.
Work out the upper bound for the value of p.Give your answer correct to 3 significant figures.

Answer 1

The upper bound for the value of p is 16.5.

Step-by-step explanation:

To find the upper bound for the value of p, we need to substitute the given values of e and f into the equation p = √(2e/f). Using the given values, we have:

e = 6.8 rounded to 1 decimal place

f = 0.05 rounded to 1 significant figure

Substituting these values into the equation, we get:

p = √(2(6.8)/0.05) = √(13.6/0.05) = √(272) = 16.49

So, the upper bound for the value of p is 16.49 rounded to 3 significant figures, which is 16.5.

Answer 2

To find the upper bound for the value of p, the value for e is 6.85 and for f is 0.045. After substituting these into the equation p = √(2e/f), the answer is calculated and rounded to three significant figures.

Step-by-step explanation:

The formula p = √(2e/f) is used to calculate the value of p. To find the upper bound for p, we need to use the highest possible values for e and the lowest for f within their given error margins. Since e is 6.8 to 1 decimal place, its upper bound is 6.85 (since the next digit after 8 is 5 or greater). The value for f given to 1 significant figure is 0.05, and its lower bound is 0.045 (since the next significant figure after 0.05 could be down to 0.045).

Plugging these bounds into the formula gives us:

p = √(2 × 6.85 / 0.045)

After performing the calculation, we round the answer to 3 significant figures to maintain the precision consistent with the given inputs.