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Nt1320 Unit 5

Satisfactory Essays
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WRITTEN ASSIGNMENT UNIT 1 1. What linear function has f(0)=5 and f(7) = 12? ANSWER: Linear function has this form: f(x) = y = a+bx This is given: 5 = a + b*0 //from this we see that a=5, and we plug that value into the second equation 12 = a + b*7 ___________ 12 = 5 +b*7 7b = 12 – 5 7b = 7 //divide by 7 b = 1 Now we put together values and get this result: f(x) = y = 5 + x 2. If f(t) = 2t – t2, what is (f(t+h) – f(t))/h? ANSWER: This is given: f(t) = 2t – t2 = // 2(t+h) = 2t + 2h; (t+h)2 = t2 + 2th + h2 = (2t + 2h – t 2 – 2th – h 2 – 2t + t 2 ) = //2t – 2t = 0; t2– t2 =0 h = //factor = //cancel the common factor h = 2 – 2t – h 3. For what x does sin2x = cos2x? ANSWER: sin(2x) = cos(2x) //divide by cos(2x) //refining tan(2x) = 1 //looking at

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