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Mathematics

1 answer:

8090 [49]3 years ago

5 0

Answer:

D:(1,1)

Step-by-step explanation:

Make the ghraphic and you'll see

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damaskus [11]

Answer:

Red: -2
Blue: 5
Yellow: -4
Green: 3
Orange: -1

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3 years ago

Read 2 more answers

Which formula can be used to describe the sequence? –81, 108, –144, 192, ...

ale4655 [162]

Answer:

a(n) = -81(-4/3)^(n - 1)

Step-by-step explanation:

The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.

Thus, the common ratio is -4/3.

The explicit function for this geometric series is

a(n) = -81(-4/3)^(n - 1)

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3 years ago

Dilation of 4 n (0,0) k(1, 1) I (1, 0)

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3 years ago

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

Darina [25.2K]

Recall that for |x| < 1, we have

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

Differentiating both sides gives

$\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=0}^\infty (n+1)x^n$

and multiplying both sides by 8 gives the series for f(x) :

$f(x)=\displaystyle \frac8{(1-x)^2} = \boxed{8\sum_{n=0}^\infty (n+1)x^n}$

and this converges over the same interval, |x| < 1, so that the radius of convergence is 1.

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3 years ago

Help solve for “q” —————————————

VMariaS [17]

Digram:-

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$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}$