
Solve each of the expressions for x using the quadratic formula and the x is small approximation. In which of the following expressions is the x is small approximation valid?
a.
b.
c.
d.
In a complete sentence, describe the factor(s) that tend to make the x is small approximation valid in an expression.

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Chapter 15 Solutions
Chemistry: Structure and Properties (2nd Edition)
- Consider the molecule below. Highlight the O atoms and/or OH groups for each acetal red, each hemiacetal blue, and each ether green in the molecule. Not all groups may be present. HO III... III. OH ווווייי HII.. H OH OH [arrow_forwardPredict the major organic product of the reaction below. G ☑ N=C 1. DIBAL-H 2. H₂O Click and drag to start drawing a structure.arrow_forwardDraw the product of the following reaction. Omit stereochemistry from the product structure. NaCN HCl Click and drag to start drawing a structure. G : ☑arrow_forward
- Predict the major organic product of this reaction. 1. 2. H₂O Click and drag to start drawing a structure. Na A 3 : ☐ Хarrow_forwardIn fiber-reinforced composite materials, indicate the influence of fiber orientation and concentration.arrow_forwardIn fiber-reinforced composite materials, indicate the influence of fiber length.arrow_forward
- In viscoelastic materials the terms "measured stress" and "relaxation stress" are equivalent.arrow_forward2. (10 points) Convert the following skeletal formulas into their structural formulas and identify the hybridization of each of their atoms: H-N-H H N H OHarrow_forward3. (6 points) Identify all the functional groups, excluding aliphatic, for each of the following structures. H-N NIH NIH HIN NiH 410 Harrow_forward
- Answer the following questions using the space provided. If more space is needed, you might attach an extra sheet of paper and clearly state where each and all the answers are. 1. (4 points) Identify and label the alkenes and/or alkynes, if any, in the following structures: CH3 CH2 CH CH3 H3C H3C CH3 CH3 CH3 H3C CH2 7 H3C CH CH3arrow_forward୬ P Three major resonance structures are possible for the given cation, which is the sigma complex of meta-addition of bromine in an electrophilic aromatic substitution. Two structures are given but are incomplete. Complete the given structures by adding nonbonding electrons and formal charges. Draw the remaining structure including nonbonding electrons and formal charges. Complete structure A. Select Draw Templates More Br C H Br OH Complete structure B. Erase Select Draw Templates More Br C H Br OH Erasearrow_forward© Macmillan Learning Draw the organic product of the reaction. HNO3 H2SO4 Select Draw Templates More C N S H Erase + H₂Oarrow_forward
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