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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

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)
Verificación de expertos
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.