Question
k=sqrt ((3d)/(e)) d=4.6 correct to 1 decimal place. e=0.08 correct to 1 significant figure. Work out the upper bound for the value of k. Give your answer correct to 3 significant figures. You must show all your working. Showyourworking
Answer
4.6
(196 Votes)
Jolene
Elite · Tutor for 8 years
Answer
To perform this calculation once correctly, the result is
. Therefore, rounding to 3 significant figures, the upper bound for the value of
is 102.
Explanation
## Step1: Remembering that when working out bounds, when referenced variable is in denominator as it exists in formula
, it gets the lower bound while the numerator gets an upper bound.## Step2: The value of
correct to 1 decimal place implies the range is found by adding/subtracting a half of 0.1 as shown:
## Step3:Similarly, the value of
correct to 1 significant figure implies a range of a half from 0.005 to 0.015 as seen:
## Step4:The equation
impliesWe have
, and
. As per step 1,Upper boundary of
and Lower boundary of
## Step5:Plug the values into the equation
: ###
## Step6:Solve for
to get the solution.