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sleet_krkn [62]
3 years ago
12

Tough one!

Mathematics
1 answer:
frosja888 [35]3 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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1/4 (8 + 6z + 12) 

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Apply distributive property :
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Answer: 3/2z + 5
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2 years ago
An entrepreneur buys some microscopes. Each one cost $200 and resells online for $526. What is the mark-up percentage?
Dafna11 [192]

Answer:

326

Step-by-step explanation:

Given: Microscopes. Each one costs $200 and resells online for $526.

To find: What is the mark-up percentage?

Solution: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.

526 - 200 = 326

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Find more here: brainly.com/question/23345732

6 0
3 years ago
What is the total surface area of a cylinder with a radius of 9ft and a height of 13ft?
Lady bird [3.3K]

Answer:

753.6 ft^2

Step-by-step explanation:

given:

radius=9 ft

height=13 ft

total surface area of cylinder=2πrh+2πr2

=2*3.14*9*13 + 2*3.14*(9)^2

=244.92 + 2*3.14*81

=244.92 + 508.68

=753.6 ft^2

6 0
3 years ago
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