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Elenna [48]
3 years ago
11

The sum of 1/6, 2/3, and 1/4 is

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0
<span>When adding up fractions, the idea is to bring them to a common denominator. In our case, the common denominator is 12. So we must amplify each fraction in order to bring its denominator to 12. 1/6 becomes 1*2/6*2 = 2/12. 2/3 becomes 2*4/3*4. 1/4 becomes 1*3/4*3. When we sum them up we get 2/12 + 8/12 + 3/13 or 13/12, which is (12+1)/12 or 12/12 + 1/12 or 1+ 1/12. So the answer is C.</span>
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Write the quadratic equation whose roots are 3 and -5, and whose leading coefficient is 2.
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1. Use the given Taylor polynomial p 2 to approximate the given quantity.
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Answer:

Part 1:

P₂(0.07)=0.93245≈e^{-0.07}

Part 2:

Error=0.5618*10^{-4}

Step-by-step explanation:

Given:

f(x)=e^{x}\\f(-0.07)=e^{-0.07}

P₂(x)=1-x+\frac{x^2}{2}

Solution:

Part 1:

P₂(x)=1-x+\frac{x^2}{2}

We have x=0.07

Put Value of x in above Equation:

P₂(0.07)=1-0.07+\frac{0.07^2}{2}

P₂(0.07)=0.93245≈e^{-0.07}

Part 2:

e^{-0.07}=0.93239382 (Calculated using Calculator)

Error=|e^{-0.07}-P₂(0.07)|=|0.93239382-0.93245|=0.00005618

Error=|0.93239382-0.93245|

Error=0.00005618

Error=0.5618*10^{-4}

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