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5.8E: Modeling Kutumia Tofauti (Mazoezi)

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    178614

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    Kwa mazoezi yafuatayo, pata thamani isiyojulikana.

    43. \(y\)inatofautiana moja kwa moja kama mraba wa\(x\). Kama wakati\(x=3, \quad y=36,\) kupata\(y\) kama\(x=4\).

    44. \(y\)inatofautiana inversely kama mizizi mraba wa\(x\) Kama wakati\(x=25, \quad y=2,\) kupata\(y\) kama\(x=4\).

    45. \(y\)inatofautiana kwa pamoja kama mchemraba wa\(x\) na kama\(z\). Kama wakati\(x=1\) na\(z=2, y=6,\) kupata\(y\) kama\(x=2\) na\(z=3\).

    46. \(y\)inatofautiana kwa pamoja kama\(x\) na mraba wa\(z\) na inversely kama mchemraba wa\(w\). Kama wakati\(x=3, z=4\), na\(w=2, y=48\), kupata\(y\) kama\(x=4, z=5,\) na\(w=3 .\)

    Kwa mazoezi yafuatayo, tatua tatizo la maombi.

    47. Uzito wa kitu juu ya uso wa dunia hutofautiana kinyume na umbali kutoka katikati ya dunia. Ikiwa mtu ana uzito wa paundi 150 wakati akiwa juu ya uso wa dunia (\((3,960\)maili kutoka katikati), pata uzito wa mtu ikiwa ni maili 20 juu ya uso.

    48. Kiasi\(V\) cha gesi bora hutofautiana moja kwa moja na joto\(T\) na inversely na shinikizo P. silinda ina oksijeni katika joto la digrii 310\(\mathrm{K}\) na shinikizo la anga 18 kwa kiasi cha lita 120. Pata shinikizo ikiwa kiasi kinapungua hadi lita 100 na joto huongezeka hadi digrii 320\(K\).