On a map, the distance between two

1 answer:

5 0

131.25 miles.

If 1 inch actually equals 25 inches, then you can just multiply 5.25 inches by 25, and because 1 in is equivalent to 25 miles, then your final answer will be in miles

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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

Solve this question. Check your solution. -5 + s > -1

HACTEHA [7]

−5+s>−1

Step 1: Simplify both sides of the inequality.

s−5>−1

Step 2: Add 5 to both sides.

s−5+5>−1+5
s>4

Answer:s>4

hope this helps!

3 0

3 years ago

Which sentence uses coordinate adjectives?

Salsk061 [2.6K]

The correct answer should be A) because the adjectives are water and ice and they're describing the glass.

6 0

3 years ago

Please help me and show the correct answer please

GREYUIT [131]

The answer is 7 cm because you times 144 to 7 and you divide that answer by 7 and we get seven

5 0

3 years ago

Solve for w. −(1/4w 8) 8=3 w=52w=52 w=134w=134 w=−34w=−34 w=−12

prohojiy [21]

-(1/4 w + 8) + 8 = 3
-1/4 w - 8 = 3 - 8 = -5
1/4w = -8 + 5 = -3
w = 4 x -3 = -12
w = -12

8 0

3 years ago