2 years ago

BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!

Mathematics

2 answers:

denis-greek [22]2 years ago

5 0

Answer:

x=10

Step-by-step explanation:

10-3=7

10-5=5

7*5=35

brilliants [131]2 years ago

3 0

Answer:

x= 10,-2 (so basically x=10)

Step-by-step explanation:

Input each answers

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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 $x=0$ .