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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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Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work
Veseljchak [2.6K]
<h3>Solution:</h3>

\tan(x) = \frac{15}{8} \\ x = \arctan(\frac{15}{8}) \\ x ≈ 61.93

<h3>Answer:</h3>

61.93

5 0
4 years ago
X+½x+7y=0 what is the value of y=?​
Ganezh [65]

Answer:

\frac{-3x}{14}

Step-by-step explanation:

x+\frac{1}{2}x+7y = 0\\

1.5x + 7y = 0

7y = -1.5x

y = \frac{-1.5x}{7}

= \frac{-3x}{14}

Hope this helps :)

7 0
3 years ago
Read 2 more answers
Value of P: 3/15(p+10)=-15
ArbitrLikvidat [17]
<span>Step  1  :</span> 1 Simplify — 5 <span>Equation at the end of step  1  :</span> 1 (— • (p + 10)) - -15 = 0 5 <span>Step  2  :</span><span>Equation at the end of step  2  :</span> (p + 10) ———————— - -15 = 0 5 <span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 5 </span> as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 <span>Equation at the end of step  3  :</span> p + 85 —————— = 0 5 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the <span> 5 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   p+85  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    p+85 = 0<span> 

 </span>Subtract  85  from both sides of the equation :<span> 
 </span>                     p = -85 

One solution was found :                  <span> p = -85</span>
7 0
3 years ago
Round 937,003 to the nearest ten thousand
prisoha [69]

Answer:

937000

:)

Step by Step Ex:

4 0
3 years ago
Read 2 more answers
6-1/2z=2/3<br> what is z?
Marina CMI [18]
6 - 1/2z = 2/3
subtract 6 from both sides
- 1/2z = -16/3
divide both sides by -1
1/2z = 16/3
rewrite
1z/2 = 16/3
multiply both sides by 2
1z = 32/3
z = 32/3 or 10 2/3

Hope this helps :)
8 0
4 years ago
Read 2 more answers
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