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2 years ago

Will What will -3 be in this problem if it replaced the -x? Y= -x+6

Mathematics

1 answer:

Fiesta28 [93]2 years ago

8 0

Answer:

Step-by-step explanation:

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6(1 − 3d) < 2(7d + 6

vagabundo [1.1K]

Answer:

d> -3/16

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

There are two poles being held down by two ropes, one pole is 12 feet tall while the other is 7 feet long. One rope is 14 feet l

tia_tia [17]

Answer:

1254 Dont use this answer sorry

Step-by-step explanation:

7 0

2 years ago

Consider the function f(x)equalscosine left parenthesis x squared right parenthesis. a. Differentiate the Taylor series about 0

dybincka [34]

I suppose you mean

$f(x)=\cos(x^2)$

Recall that

$\cos x=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{x^{2n}}{(2n)!}$

which converges everywhere. Then by substitution,

$\cos(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{(x^2)^{2n}}{(2n)!}=\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n)!}$

which also converges everywhere (and we can confirm this via the ratio test, for instance).

a. Differentiating the Taylor series gives

$f'(x)=\displaystyle4\sum_{n=1}^\infty(-1)^n\frac{nx^{4n-1}}{(2n)!}$

(starting at $n=1$ because the summand is 0 when $n=0$ )

b. Naturally, the differentiated series represents

$f'(x)=-2x\sin(x^2)$

To see this, recalling the series for $\sin x$ , we know

$\sin(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^{n-1}\frac{x^{4n+2}}{(2n+1)!}$

Multiplying by $-2x$ gives

$-x\sin(x^2)=\displaystyle2x\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n+1)!}$

and from here,

$-2x\sin(x^2)=\displaystyle 2x\sum_{n=0}^\infty(-1)^n\frac{2nx^{4n}}{(2n)(2n+1)!}$

$-2x\sin(x^2)=\displaystyle 4x\sum_{n=0}^\infty(-1)^n\frac{nx^{4n}}{(2n)!}=f'(x)$

c. This series also converges everywhere. By the ratio test, the series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(-1)^{n+1}\frac{(n+1)x^{4(n+1)}}{(2(n+1))!}}{(-1)^n\frac{nx^{4n}}{(2n)!}}\right|=|x|\lim_{n\to\infty}\frac{\frac{n+1}{(2n+2)!}}{\frac n{(2n)!}}=|x|\lim_{n\to\infty}\frac{n+1}{n(2n+2)(2n+1)}$

The limit is 0, so any choice of $x$ satisfies the convergence condition.

3 0

3 years ago

A piece of carpet is in the shape of an isosceles trapezoid with a height of 30 inches and bases 40 and 60 inches. What is the a

yaroslaw [1]

30x40x60=72,000. with area you do LxWxH

3 0

2 years ago

Find the value of x.

Tresset [83]

Answer:

In the first problem, the value of x is 13.85

Step-by-step explanation:

To find this, we can use the Pythagorean Theorem. This allows us to use the length of the legs (a and b) to determine the length of the hypotenuse (c) .

a^2 + b^2 = c^2

5.3^2 + 12.8^2 = c^2

28.09 + 163.84 = c^2

191.93 = c^2

13.85 = c

4 0

2 years ago