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3 years ago

Point A lies on the circle and has an x-coordinate of 1.

Mathematics

2 answers:

scoundrel [369]3 years ago

8 0

Answer:

Step-by-step explanation:

edg

maksim [4K]3 years ago

8 0

Answer:

Step-by-step explanation:

You might be interested in

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

Express the number 180 as the sum of four numbers that form a geometric

ale4655 [162]

Answer:

dadadddddddddddddddddddd

Step-by-step explanation:

ddasddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

6 0

2 years ago

Plz, HELP me with this question!

vodomira [7]

Answer:

Experimental property.

Step-by-step explanation:

I say this because the experimental probability is the actual result of an experiment, which may be different from theoretical probability. Theoretical probability is determined by thinking, and what you think the outcome will be.

7 0

3 years ago

Read 2 more answers

X - 4 = -4 - 4 2 - 3x = -x - 8 Please help me solve these

irina [24]

X - 4 = -4 -4

Combine the two -4.

X - 4 = -8

Add 4 on both sides to isolate the x and get your answer.

X = -4

2 - 3x = -x - 8

Subtract the 2 on both sides.

-3x = -x - 10

Add the x on both sides.

-2x = -10

Divide by -2 on both sides to isolate the x and get your answer.

x = 5

5 0

2 years ago

A school raised a total of $1,648 to purchase new books. The money raised will be shared equally among 8 different classrooms. W

Svetach [21]

Answer:

206

Step-by-step explanation:

1648/8

206 each

5 0

3 years ago