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sleet_krkn [62]
2 years ago
12

Tough one!

Mathematics
1 answer:
frosja888 [35]2 years ago
7 0
Imx->0 (asin2x + b log(cosx))/x4 = 1/2 [0/0 form] ,applying L'Hospital rule ,we get

= > limx->0 (2a*sinx*cosx - (b /cosx)*sinx)/ 4x3 = 1/2 => limx->0 (a*sin2x - b*tanx)/ 4x3 = 1/2 [0/0 form],

applying L'Hospital rule again ,we get,

 = > limx->0 (2a*cos2x - b*sec2x) / 12x2 = 1/2

For above limit to exist,Numerator must be zero so that we get [0/0 form] & we can further proceed.

Hence 2a - b =0 => 2a = b ------(A)

limx->0 (b*cos2x - b*sec2x) / 12x2 = 1/2 [0/0 form], applying L'Hospital rule again ,we get,

= > limx->0 b*(-2sin2x - 2secx*secx.tanx) / 24x = 1/2 => limx->0 2b*[-sin2x - (1+tan2x)tanx] / 24x = 1/2

[0/0 form], applying L'Hospital rule again ,we get,

limx->0 2b*[-2cos2x - (sec2x+3tan2x*sec2x)] / 24 = 1/2 = > 2b[-2 -1] / 24 = 1/2 => -6b/24 = 1/2 => b = -2

from (A), we have , 2a = b => 2a = -2 => a = -1

Hence a =-1 & b = -2
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a survey asked 72 randomly chosen students if they were going to attend the school play. twelve said yes. if there are 210 ticke
Ugo [173]
We can solve this by setting up a proportion:

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We can cross multiply to solve for x:

(12)x=(72)(210)
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4 0
3 years ago
In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of an
lbvjy [14]
<h2>Answer: 55 degrees</h2>

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles \theta, \alpha and \beta:

\theta+\alpha+\beta=180\º

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

XYZ+YXZ+XZY=180\º

50\º+75\º+XZY=180\º

XZY=180\º-50\º-75\º

Finally:

XZY=55\º

8 0
2 years ago
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Answer:

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7 0
2 years ago
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Can anybody help me with number 20....just number 20 plz?....thank u
MatroZZZ [7]
The property used in #20 was called 'the distributive property'.

This property gets rid of the parenthesis and also gets the expression more simple. 

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x*y + x*b              ⇔ Notice the change here? 

Answer would be: Distributive property 

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