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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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Jenna drew irregular quadrilateral ABCD inscribed in circle P. She knows that: m∠3=2⋅m∠1, and m∠2=2⋅m∠4, and m∠2+m∠3=360°. What
Mrrafil [7]

Answer:

The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

Step-by-step explanation:

We are given the following from what she knows

m∠3=2⋅m∠1... 1

m∠2=2⋅m∠4 ... 2

m∠2+m∠3=360 ... 3

From what is given, we can substitute equation 1 and 2 into equation 3 as shown:

From 3:

m∠2+m∠3=360

Substituting 1 and 2 we will have:

2⋅m∠4 + 2⋅m∠1 = 360

Factor out 2 from the left hand side of the equation

2(m∠4+m∠1) = 360

Divide both sides by 2

2(m∠4+m∠1)/2 = 360/2

m∠4+m∠1 = 180°

Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

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3 years ago
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s344n2d4d5 [400]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Based on the information that has been given in the question, the inequality that'll be used to solve the question will be:

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Carolina needs to buy at least 713 paintballs along with the entrance fee to get the promotion.

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3 years ago
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