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Mathematics 1
Mathematics 1 Deneme Sınavı
Mathematics 1 Deneme Sınavı Sorusu #1224600
Mathematics 1 Deneme Sınavı Sorusu #1224600
The motion of a particle is given by the function f(t) = 2t2 – t Find its velocity at the instant t = 3.
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4 |
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8 |
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10 |
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11 |
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12 |
Yanıt Açıklaması:
velocity at time t=limh›0 (f(t+h)-f(t))/h
since f(t) = 2t2 – t:
limh›0 (f(t+h)-f(t))/h=((2(t+h)2-(t+h))-(2t2-t))/h
=limh›0 (2t2+2h2 +4th-t-h-2t2+t)/h
=limh›0 (2h2 +4th-h)/h
=h(2h+4t-1)/h
=2h+4t-1
And for t=3 and h=0;
2h+4t-1=11
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