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Math 141 Fall 2016 Exam 4 10 pts. 10 pts. each Approximate the quantity 31 using a 3rd-order Taylor polynomial centered at 32. Alternating Series Estimation Theorem If 1 k 1 bk is a convergent alternating series such that 0 bk 1 bk for all k then Rn bn 1 for all n. Maclaurin Series for Some Common Functions 1 x ex n 0 xn for x 1 xn for x 1 n x2n 1 2n 1 sin x cos x ln 1 x tan 1 x for 1 x 1 1 x p p n x for x 1 where Some Trigonometric Identities sin 2 2 sin cos cos 2 cos2 sin2 p p p 1...

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2. Determine the unit of measurement: Specify the unit of measurement you are using when filling out the approximate form quantity. It could be kilograms, liters, meters, or any other applicable unit.
3. Estimate the quantity: Based on your knowledge or available information, make an estimation of the quantity you are referring to on the approximate form. Ensure your estimate is as accurate as possible and does not exceed any given limits or constraints.
4. Clearly state if the quantity is approximate: Indicate on the form that the provided quantity is approximate. This will inform whoever receives the form that the exact amount may not be known and that it is an estimation.
5. Check for accuracy: Before submitting the form, always review your entries for accuracy. Ensure that all the information you have provided is correct and that there are no mistakes or discrepancies.

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Approximate form quantity is a form used to estimate the quantity of a specific item or substance.

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To fill out an approximate form quantity, you will need to provide information such as the type of substance, estimated quantity, and purpose for the use of the substance.

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The information that must be reported on an approximate form quantity includes the type of substance, estimated quantity, purpose of use, and any relevant safety information.