3 years ago

Which of the graph of f(x)=x-1/x^2-x-6

Mathematics

1 answer:

Alik [6]3 years ago

3 0

Answer:

a on edge

Step-by-step explanation:

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Find the area of the parallelogram by composing into rectangles or decomposing into triangles or other shapes as needed. 8 yd 6

Gennadij [26K]

Answer:

Below.

Step-by-step explanation:

The area = area of a rectangle on the same base and between the same parallel lines

= (15 + 6) * 8

= 21 * 8

= 168 yd^2.

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3 years ago

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If f(x) = 3^x + 10x and g(x) = 2x - 4, find (f + g)(x)

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3^x + 10x+2x-4

Step-by-step explanation:

f(x) = 3^x + 10x and g(x) = 2x - 4

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Artemon [7]

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Step-by-step explanation:

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Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.

telo118 [61]

Answer:

The dog weighs 16 pounds, while the cat weighs 8 pounds

Step-by-step explanation:

Let's call the weight of the dog d, and the weight of the cat c.

d+c=24

d=2c

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(2c)+c=24

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Hope this helps!

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3 years ago

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