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In the model (R(t)=r-8t), (R(5)=104) and (R(s)=48). What is (s)?मॉडल (R(t)=r-8t) में (R(5)=104) और (R(s)=48) है। (s) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1212
Given \(R(t)=r-8t\), substitute \(R(5)=104\): \(r-8(5)=104\), so \(r=144\). Now \(R(s)=48\) gives \(144-8s=48\). Thus \(8s=96\), and \(s=12\). For example, \(s=14\) would not give a value of 48. Exam tip: first find the constant \(r\) from the known input-output pair, then use the second condition.दिया है कि \(R(t)=r-8t\)। \(R(5)=104\) रखने पर \(r-8(5)=104\), इसलिए \(r=144\)। अब \(R(s)=48\) से \(144-8s=48\) मिलता है। अतः \(8s=96\), इसलिए \(s=12\)। विकल्प 14 लेने पर मान 48 नहीं आएगा। परीक्षा टिप: पहले दिए गए मान से स्थिरांक \(r\) ज्ञात करें, फिर दूसरे मान में उसे रखें।
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