All categories

3 years ago

Evaluate lim x=π/4(3x - tanx)

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$ = $3(\frac{\pi }{4} )$

Step-by-step explanation:

Explanation:-

Given that

$\lim_{x \to\frac{\pi }{4} } (3x-tanx)$

= $\lim_{x \to\frac{\pi }{4} } (3x) - \lim_{x \to\frac{\pi }{4} } tanx)$

= $3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )$

= $3(\frac{\pi }{4} )+ 1 )$

= $3(\frac{\pi }{4} )$

You might be interested in

A survey was conducted to determine the popularity of three foods among students. The data collected from 75 students are summar

Andrews [41]

Answer:

Step-by-step explanation:

Total no = 75

N (P) = 48 , N (H) = 45 , N (T) = 58

N (P∩H) = 28 , N (H∩T) = 37 , N (P∩T) = 40

N (P∩H∩T) = 25

Total no = N (P) + N (H) + N (T) - N (P∩H) - N (H∩T) - N (P∩T) + N (P∩H∩T) + neither

75 = 48 + 45 + 58 - 28 - 37 - 40 + 25 + neither

75 = 71 + neither → neither = 4

N (only P) = N (P) - N (P∩H) - N (P∩T) + N (P∩H∩T) = 48 - 28 - 40 + 25 = 5

N (only H) = N (H) - N (P∩H) - N (H∩T) + N (P∩H∩T) = 45 - 28 - 37 + 25 = 5

N (only T) = N (T) - N (H∩T) - N (P∩T) + N (P∩H∩T) = 58 - 37 - 40 + 25 = 6

So, total liking either one or neither = 4 + 5 + 5 + 6 = 20

4 0

3 years ago

which typing is faster? A( 320 words in 8 minutes B( 600 words in 12 minutes C( 350 words in 10 minutes D( 225 words in 5 minute

Slav-nsk [51]

Let's look at each answer choice's words per minute:
A) 320/8 = 40
B) 600/12 = 50
C) 350/10 = 35
D) 225/5 = 45
The fastest is 50 words/min which is B

8 0

3 years ago

1oo divided into ratio 3:7

masha68 [24]

100 is not divisible by 3 when u divide 100 by 3 u get 33.333333...... not 3.33333.....
the good explanation of your answer is that 0.999999....is equal to 1
we can prove it by the following way:
let x=0.9999....
then 10x = 9.999999.....
subtract we will get 10x - x = 9.9999....- 0.99999......
which gives us 9x = 9 and therefore x =1
i hope this will help u with your confusion....... :)

8 0

3 years ago

Read 2 more answers

The length of the base of a triangle is twice it’s height. If the area of the triangle is 441 square kilometers, find the height

Sonja [21]

Answer:

21 kilometers

Step-by-step explanation:

Let the height be $x$ . Then, the length of the base is $2x$ . The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to $\frac{x \cdot 2x}{2} = x^2$ , which is in turn equal to 441. Since $x$ must be positive, then $21^2=441$ , meaning that the height is $21$ kilometers.