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Vlada [557]
3 years ago
14

Why does 498 * 8.32 equal 4 1/4 3.36

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0

Answer:

The answer is 4143. 36 but I don't know why there are fractions

Step-by-step explanation:


soldi70 [24.7K]3 years ago
6 0
It is 59.6 I believe
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Find the degree 3 Taylor polynomial P3(x) of function f(x)=(-3x+15)^(3/2) at a=2
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Take up to the third-order derivative:

f(x)=(-3x+15)^{3/2}

f'(x)=\dfrac32(-3x+15)^{1/2}(-3)=-\dfrac92(-3x+15)^{1/2}

f''(x)=-\dfrac94(-3x+15)^{-1/2}(-3)=\dfrac{27}4(-3x+15)^{-1/2}

f'''(x)=-\dfrac{27}8(-3x+15)^{-3/2}(-3)=\dfrac{81}8(-3x+15)^{-3/2}

Evaluate each derivative at x=a=2:

f(2)=9^{3/2}=27

f'(2)=-\dfrac929^{1/2}=-\dfrac{27}2

f''(2)=\dfrac{27}4\dfrac1{9^{1/2}}=\dfrac94

f'''(2)=\dfrac{81}8\dfrac1{9^{3/2}}=\dfrac38

Then the Taylor polynomial is

P_3(x)=f(2)+f'(2)(x-2)+\dfrac{f''(2)}2(x-2)^2+\dfrac{f'''(2)}6(x-2)^3

P_3(x)=27-\dfrac{27}2(x-2)+\dfrac98(x-2)^2+\dfrac1{16}(x-2)^3

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3 years ago
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Answer:

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Step-by-step explanation:

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