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

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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 k. Give your answer correct to 3 significant figures. You must show all your working. Showyourworking

Answer 1

To perform this calculation once correctly, the result is \(k=101.72\). Therefore, rounding to 3 significant figures, the upper bound for the value of \(k\) is 102.

Answer 2

## Step1: Remembering that when working out bounds, when referenced variable is in denominator as it exists in formula \(k=\sqrt{\frac{3 d}{e}} \), it gets the lower bound while the numerator gets an upper bound. ## Step2: The value of \(d\) correct to 1 decimal place implies the range is found by adding/subtracting a half of 0.1 as shown: \(4.6 \pm 0.05\) ## Step3: Similarly, the value of \(e\) correct to 1 significant figure implies a range of a half from 0.005 to 0.015 as seen: \(0.08 \pm 0.005\) ## Step4: The equation \(k=\sqrt{\frac{3 d}{e}}\) implies We have \(d=4.6 \pm 0.05\), and \(e=0.08 \pm 0.005\). As per step 1, Upper boundary of \(d=d+0.05= 4.65\) and Lower boundary of \(e=e-0.005=0.075\) ## Step5: Plug the values into the equation \(k=\sqrt{\frac{3 d}{e}}\): ### \(k=\sqrt{\frac{3 \times 4.65}{0.075}}\) ## Step6: Solve for \(k\) to get the solution.

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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 k. Give your answer correct to 3 significant figures. You must show all your working. Showyourworking

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