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WARRIOR [948]
3 years ago
11

Lim (sin x )^tanx as x->pi/2

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0
 <span>lim (x → π/2) (sinx)^(tanx) 
= lim (x → π/2) e^[(tanx) ln (sinx)] 
= e^ [lim (x → π/2) (tanx) ln (sinx)] ... (1) 

lim (x → π/2) (tanx) ln (sinx) 
= lim (x → π/2) [ln(sinx) / cotx] 

Using L'Hospital'stheorem, 
= lim (x → π/2) [- cotx / cosec^2 x] 
= 0 

Plugging in ( 1 ), 
required limit = e^0 = 1 

=>Answer is 1.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
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What is the equation for |3x-4| = |2x+3|?
Orlov [11]

Answer:

x=-1

Step-by-step explanation:

The lines stand for absolute value ( how far a number is from 0), so each number should be a positive, then you just solve for x. Isolate x, then divide on both sides, and you should get -x=1, which is equal to x=-1.

7 0
2 years ago
What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po
kolbaska11 [484]
Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
    nx = sample size for stratum x
    Nx = population size for stratum x
    N = total population size 
    n = total sample size

Given:

  Nx = 100
  N = 1000
  n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women


Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>
7 0
3 years ago
Given: AE = 3, CE = 5 and ED is 4 less than EB find EB. Please give a step-by-step explanation. The best answer will receive bra
alisha [4.7K]

Answer:

EB = 10

Step-by-step explanation:

For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:

CE * ED = AE * EB

(This is applied specifically to this problem)

We can substitute the values given,

5 * (x - 4) = 3 * x

simplify,

5x - 20 = 3x

and solve.

2x - 20 = 0

2x = 20

x = 10

Since the value of EB is x, EB = 10.

6 0
2 years ago
How to write 6.716 im fraction
Varvara68 [4.7K]

Answer:

To write 6.716 as a fraction you have to write 6.716 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

6.716 = 6.716/1 = 67.16/10 = 671.6/100 = 6716/1000

And finally we have:  

6.716 as a fraction equals 6716/1000

7 0
3 years ago
Write:<br> 3^-4 in standard form
pav-90 [236]

Answer:

\frac{1}{81}

Step-by-step explanation:

<u>Key skills: Exponents + Fractions</u>

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as \frac{1}{3^{4}}

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

4 0
2 years ago
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