Problem Bank | IB Math AASL

[Maximum mark: 10]

A baby marmot lies next to its mama on a sunlit log in the mountains. A researcher is studying how much solar energy the baby marmot absorbs over time. Due to the remote location, all quantities are approximated or measured with some instrument error.

The baby marmot's exposed surfaced error is estimated to be A=0.031 m2. At the altitude, the solar irradiance is measured at P=1.2×103 J/sec/m2. The baby marmot lies still for t=25 minutes.

The energy absorbed by the baby marmot, in Joules, is given by E=P⋅A⋅t.

Find the total energy absorbed by the baby marmot.
[2]
To earn a crown, get your answer ready before you reveal the options!
Write your answer to part (a) in the form a×10k, where 1≤a<10 and k∈Z.
[1]
The researcher's estimate of the baby marmot's exposed surface area is accurate to ±0.005 m2.
Find the upper and lower bounds for the amount of energy the baby marmot absorbs.
Hence calculate the maximum percent error in energy absorption E, assuming all other qualities are exact.
[7]

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[Maximum mark: 10]

A baby marmot lies next to its mama on a sunlit log in the mountains. A researcher is studying how much solar energy the baby marmot absorbs over time. Due to the remote location, all quantities are approximated or measured with some instrument error.

The baby marmot's exposed surfaced error is estimated to be A=0.031 m2. At the altitude, the solar irradiance is measured at P=1.2×103 J/sec/m2. The baby marmot lies still for t=25 minutes.

The energy absorbed by the baby marmot, in Joules, is given by E=P⋅A⋅t.

Find the total energy absorbed by the baby marmot.
[2]
To earn a crown, get your answer ready before you reveal the options!
Write your answer to part (a) in the form a×10k, where 1≤a<10 and k∈Z.
[1]
The researcher's estimate of the baby marmot's exposed surface area is accurate to ±0.005 m2.
Find the upper and lower bounds for the amount of energy the baby marmot absorbs.
Hence calculate the maximum percent error in energy absorption E, assuming all other qualities are exact.
[7]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!

[Maximum mark: 10]

A baby marmot lies next to its mama on a sunlit log in the mountains. A researcher is studying how much solar energy the baby marmot absorbs over time. Due to the remote location, all quantities are approximated or measured with some instrument error.

The baby marmot's exposed surfaced error is estimated to be A=0.031 m2. At the altitude, the solar irradiance is measured at P=1.2×103 J/sec/m2. The baby marmot lies still for t=25 minutes.

The energy absorbed by the baby marmot, in Joules, is given by E=P⋅A⋅t.

Find the total energy absorbed by the baby marmot.
[2]
To earn a crown, get your answer ready before you reveal the options!
Write your answer to part (a) in the form a×10k, where 1≤a<10 and k∈Z.
[1]
The researcher's estimate of the baby marmot's exposed surface area is accurate to ±0.005 m2.
Find the upper and lower bounds for the amount of energy the baby marmot absorbs.
Hence calculate the maximum percent error in energy absorption E, assuming all other qualities are exact.
[7]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!

[Maximum mark: 10]

A baby marmot lies next to its mama on a sunlit log in the mountains. A researcher is studying how much solar energy the baby marmot absorbs over time. Due to the remote location, all quantities are approximated or measured with some instrument error.

The baby marmot's exposed surfaced error is estimated to be A=0.031 m2. At the altitude, the solar irradiance is measured at P=1.2×103 J/sec/m2. The baby marmot lies still for t=25 minutes.

The energy absorbed by the baby marmot, in Joules, is given by E=P⋅A⋅t.

Find the total energy absorbed by the baby marmot.
[2]
To earn a crown, get your answer ready before you reveal the options!
Write your answer to part (a) in the form a×10k, where 1≤a<10 and k∈Z.
[1]
The researcher's estimate of the baby marmot's exposed surface area is accurate to ±0.005 m2.
Find the upper and lower bounds for the amount of energy the baby marmot absorbs.
Hence calculate the maximum percent error in energy absorption E, assuming all other qualities are exact.
[7]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!