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ioda
3 years ago
6

Use the MacLaurin series for f(x).

Mathematics
1 answer:
katrin [286]3 years ago
6 0
<span>y = tan^−1(x2/4)</span> tan(y) = x2/4 sec2(y) = x/2 y′ = xcos^2(y)/2 <span>cos^2(y) = <span>16x2+16</span></span> <span>y′ = <span>8x/(<span>x2+16)

let u be x2+16
du is 2x dx
dy = 4 du / u
 y = 4 ln (</span></span></span>x2 <span>+ 16)
 
y at x =0 = </span> 4 ln (<span>16) = 11.09</span>
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3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony​
Zinaida [17]

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

<h3>What number of seats does the theatre have?</h3>

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

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8 0
2 years ago
Of a squirrel's hidden nuts, for every 5 that get found, there are 3 that do not get found. A squirrel hid 40 nuts all together.
koban [17]

Answer:

15 nuts do not get found.

Step-by-step explanation:

Given that Of a squirrel's hidden nuts, for every 5 that get found, there are 3 that do not get found.

Total number of nuts squirrel had hidden = 40

Proportion of nuts not found to total = 3/(3+5) = 3/8

Hence out of 40, nuts not found =3/8(40) = 15 nuts.

15 nuts would not be found and 25 nuts would be found if squirrel had hidden in total 40 nuts.

This is because the proportion of found:unfound = 5:3

Hence 25:!5 =5:3 satisfies this

15 nuts are not found.

5 0
3 years ago
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