After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus

Mathematics

1 answer:

forsale [732]3 years ago

4 0

Answer:

Linear

Step-by-step explanation:

$y=.35x+26$

$y=\frac{7}{20}x+26$ <em>.35 = 7/20</em>

The form $y=mx+b$ represents a linear equation. Our equation fits that form, with $m=\frac{7}{20}, b=26$ .

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If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

3 years ago

PLEASE HELP ME PLEASE!

natima [27]

Answer:

Step-by-step explanation:

43 square units. Since each square is equal to one square unit, all you have to do is count the amount of squares inside the given polygon. Double check it if you want. You could also calculate the areas of the main rectangle and the little thing coming out at the top right separately and then add them together.

3 0

4 years ago

How to set up the equation

Drupady [299]

12x+2 is the answer

add 7x+5x=12x
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8 0

4 years ago

4 is what percent of 17?

solong [7]

4/17=x/100 》400\17=x 》x=23.5

4 0

3 years ago