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lorasvet [3.4K]
2 years ago
13

Need help to solve please

Mathematics
1 answer:
Ganezh [65]2 years ago
7 0

Answer:

Llo nose swim is the trail in the foot ball on the ground and the feet on the sides of the ground and the water in the water and the war is in the water and the water and water in

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Which ratio correctly compares 2 feet to 48 inches, when the lengths are written using the same units?
guajiro [1.7K]

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- Convert from 48 inches to foot. You know that 12 inches=1 foot. Then you have:

 (48inches)(\frac{1foot}{12inches})=4feet

- Therefore, keeping on mind that 48 inches is 4 feet, and you must find the ratio that  correctly compares 2 feet to 48 inches, you can write:

ratio=\frac{2feet}{4feet}

- Reduce the fraction, then:

ratio=\frac{1}{2}

- You can rewrite it as following:

ratio=1:2

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3 years ago
Find quadratic polynomial which best fits the function f(x)=e^x and x=0, in the sense that g(0)= f(0), and g'(0) = f'(0), and g"
Dmitriy789 [7]
Let g(x)=ax^2+bx+c. Then

\begin{cases}g(0)=c\\g'(0)=b\\g''(0)=2a\end{cases}

Meanwhile, since f(x)=e^x, you have f(0)=f'(0)=f''(0)=e^0=1.

It follows that a=\dfrac12, b=1, and c=1, so that the quadratic fit for f(x)=e^x that satisfies the given points is

g(x)=\dfrac12x^2+x+1

Note that this is just the second-order Taylor polynomial for e^x about x=0.
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Step-by-step explanation:

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