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2 years ago

Which is the least Pleas help ?!

Mathematics

2 answers:

andrew11 [14]2 years ago

5 0

Answer: 12/50

Step-by-step explanation: convert all of them to decimals.

fiasKO [112]2 years ago

4 0

Answer:

0.35

Step-by-step explanation:

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Find the taylor polynomial t3(x) for the function f centered at the number

inysia [295]

Answer:

$t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3$

Step-by-step explanation:

We are given that

$f(x)=7tan^{-1}(x)$

a=1

$T_n(x)=\sum_{r=0}^{n}\frac{f^r(a)(x-a)^r}{r!}$

Substitute n=3 and a=1

$t_3(x)=f(1)+f'(1)(x-1)+\frac{f''(1)(x-1)^2}{2!}+\frac{f'''(1)(x-1)^3}{3!}$

$f(x)=7tan^{-1}(x)$

$f(1)=7tan^{-1}(1)=7\times \frac{\pi}{4}=\frac{7\pi}{4}$

Where $tan^{-1}(1)=\frac{\pi}{4}$

$f'(x)=\frac{7}{1+x^2}$

Using the formula

$\frac{d(tan^{-1}(x))}{dx}=\frac{1}{1+x^2}$

$f'(1)=\frac{7}{2}$

$f''(x)=\frac{-14x}{(1+x^2)^2}$

$f''(1)=-\frac{7}{2}$

$f''(x)=-14x(x^2+1)^{-2}$

$f'''(x)=-14((x^2+1)^{-2}-4x^2(x^2+1)^{-3}})$

By using the formula

$(uv)'=u'v+v'u$

$f'''(x)=-14(\frac{x^2+1-4x^2}{(1+x^2)^3}$

$f'''(x)=(-14)\frac{-3x^2+1}{(1+x^2)^3}$

$f'''(1)=-14(\frac{-3(1)+1}{2^3})=\frac{7}{2}$

Substitute the values

$t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{2\times 3\times 2\times 1}(x-1)^3$

$t_3(x)=\frac{7\pi}{4}+\frac{7}{2}(x-1)-\frac{7}{4}(x-1)^2+\frac{7}{12}(x-1)^3$

7 0

3 years ago

What’s the slope of (-2,4) (1,-2)

Lyrx [107]

The slope of the above is -2

7 0

2 years ago

What is the average rate of change for a

dedylja [7]

$9 is the average rate of change!

7 0

2 years ago

Consider a collection of envelopes consisting of 2 red envelopes, 2 blue envelopes, 2 green envelopes, and 3 yellow envelopes

77julia77 [94]

The probability that all three randomly selected envelopes are yellow without replacement is 1/84.

<h3>What is a combination?</h3>

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

2 red envelopes

2 blue envelopes

2 green envelopes

3 yellow envelopes.

Total number of envelopes = 9

The probability that all three randomly selected envelopes are yellow without replacement.

= $\frac{^3C_1}{^9C_1} \frac{^2C_1}{^8C_1} \frac{^1C_1}{^7C_1}$

= (3/9) x (2/8) x (1/7)

= (3x2x1)/(9x8x7)

= 1/84

Thus,

The probability that all three randomly selected envelopes are yellow without replacement is 1/84.

Learn more about combination here:

brainly.com/question/14355408

#SPJ1

4 0

11 months ago

Solve the equation for y: 2x+7y= 14

dimulka [17.4K]

2x + 7y = 14
7y = -2x + 14
y = -2/7x + 2 <==

7 0

3 years ago

Read 2 more answers