In Lab 3, you approximated the height of a hole in a graph above the xx-axis. Su
ID: 3119558 • Letter: I
Question
In Lab 3, you approximated the height of a hole in a graph above the xx-axis. Suppose the hole occurred at x=1, and the function, ff, is decreasing.
In class, we investigated the motion of a bolt fired from a crossbow straight up into the air with an initial velocity of 49 m/s. Accounting for wind resistance proportional to the speed of the bolt, its height above the ground is given by the equation h(t)=7350245t7350et/25 meters, (with tt measured in seconds). WE APRROXIMATED THE SPEED OF THE BOLT WHEN T=2 SECONDS
Answer the following briefly using only words (no numbers except the x value 1, no algebraic expressions)
What was being approximated?
How did you find an underestimate? an overestimate?
How did you determine an error bound for these approximations?
Answer the following briefly using only words (no numbers except the t value 2, no algebraic expressions
What was being approximated?
How did we find an underestimate? an overestimate?
How did we determine an error bound for these approximations?
In Lab 3, you approximated the height of a hole in a graph above the xx-axis. Suppose the hole occurred at x=1, and the function, ff, is decreasing.
In class, we investigated the motion of a bolt fired from a crossbow straight up into the air with an initial velocity of 49 m/s. Accounting for wind resistance proportional to the speed of the bolt, its height above the ground is given by the equation h(t)=7350245t7350et/25 meters, (with tt measured in seconds). WE APRROXIMATED THE SPEED OF THE BOLT WHEN T=2 SECONDS
Answer the following briefly using only words (no numbers except the x value 1, no algebraic expressions)
What was being approximated?
How did you find an underestimate? an overestimate?
How did you determine an error bound for these approximations?
Answer the following briefly using only words (no numbers except the t value 2, no algebraic expressions
What was being approximated?
How did we find an underestimate? an overestimate?
How did we determine an error bound for these approximations?
Explanation / Answer
In the both the cases given function is decreasing function
In first case we are approximating the height bad in second case we are approximating the speed of the bolt when t=2sec
In both cases
Underestimate is found by Right hand method and Over estimate by Left hand method
Error is found by subtracting left hand result or right hand result from original integral value
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