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2 years ago

(4x^4-3x^2+3x+7) / x+1/2

Mathematics

1 answer:

Natali [406]2 years ago

8 0

Answer:8x^4-3x+3x^2+3x+7+1/2

Step-by-step explanation: simply

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The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the f

Advocard [28]

Answer:

r=8 ft

Step-by-step explanation:

V/6π=r2

r=√v/6π

r=√1206 cubic feet/6π

r=8 ft

4 0

2 years ago

Find the balance after each transaction for problems 8–14. The beginning balance is $752.00?

hram777 [196]

Answer:

8: $732.03

9: $629.52

10: $1281.52

11: $731.52

12: $653.52

13: $1090.52

14: $851.52

Step-by-step explanation:

The Amount of Trans shows us that we subtract those numbers from the balance and the Amount of Deposit shows us that we add those numbers to the balance.

3 0

2 years ago

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$