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Show that the integral of TAN(x) is ln. sec(x)| + C where C is a CONSTANT. First, RECALL that tan(x) can be rewritten in terms of sine and COSINE

The SHOPKEEPER required 465 BOTTLES to FILL the 231 LITER oil

First FIND the HCF of the total NUMBER of pineapples , apples and mangoes to find the MAXIMUM number of FRUITS he can put in each heap.
HCF of 72,108 and 120= 12
therefore, he can put 12 fruits in each heap.
To find the number of heaps we first add the number of fruits

72+108+120=300
and then we will divide number of fruits by the number of fruits in each heap
300÷12 = 25
Therefore number of heaps = 25
Hope this will be useful
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if cost of 1 PEN is RS.5

then cost of TEN such pens are = 10×5=50

so cost of ten pens are Rs 50

ALLAHABAD: In sharp contrast to Mughal emperor Aurangzeb’s image of a temple destroyer in history books, an Allahabad-based historian has claimed that he had offered lavish grants and land to the ancient Someshwar Mahadev temple on the BANKS of Sangam in Arail.


Historian and principal of Serveshwari DEGREE College Pradeep Kesherwani made this claim based on certain historical facts. “During one of his MILITARY campaigns, 

Aurangzeb

 and his army had spent time near the temple. During the stay, he not only VISITED the temple but also offered grant and land for its maintenance. This fact is mentioned on the ‘Dharma Dand’ (religious pillar) situated on the temple premises,” Kesherwani told TOI.

Inital MOMENTUM = mv1 =1000 ×5 = 5000
Final momentum = mv2 =1000×8 = 8000
Force = change in momentum /TIME
= 3000/6 =500 N

A=9, d=17-9=8, Sn=636
Sn=n/2 [(2A+(n-1) d]
636= n/2 [ 2*9+(n-1)*8]
636= n/2 [18+8n-8]
636*2= n (10+8n)
1272= 10n+8n^2
8n^2+10n-1272=0
2(4n^2+5n-636)=0
4n^2+5n-636=0
4n^2+53n-48n-636=0
n(4n+53)-12(4n+53)=0
(n-12) (4n+53)=0
n=12, n=-53/4
n=-53/4 is not possible
So, n=12

If i am not wrong
the greatest POSSIBLE length is 140 CM 3 SMALLER pieces of ROPE can get altogether

If 2.75 LITRES of mercury weighs 37.4 kg then DENSITY of mercury=37.4/2.75 kg/L= 13.6 kg/L so 13600 gms is weight of 1000 ML or 1000CC. Weight of 5cc mercury =13600/1000×5=68 gms.

Let cp = 100

as there is a gain 5% = 100+ 5 = 105.

let cp of the radio = x

now doing as proportion

100/x = 105/903

CROSS MULTIPLICATION

x*105 = 100*903

105x = 90300

x = 90300/105

x = 860 .

hence cost price of the radio = 860.

Hi friend!

In this QUESTION, we need to find out how many minimum litres of petrol does each car need to have, if they both have to travel the exact same distance, right? Ok, so let's see;

Mileage of car A: 20kmpl
Mileage of car B: 15kmpl

We need to find LCM of 20 and 15 over here, to find the common distance multiple.

LCM of 20 & 15 is 60km. I have attached a pic. to show you the process of LCM.

Car A and B need x and y litres of petrol to run 60km, respectively.
This can be done by dividing the two figures.

Car A: 60/20 litres = 3 litres
Car B: 60/15 litres = 4 litres

Therefore, Car A needs 3 litres of petrol and Car B needs 4 litres of petrol at the minimum.

There's your answer! Hope you found my answer useful .

The AGE of (C) after joining (a) and (B) is CONSIDERED to be as 24 years of old

2tan-¹(1+X/1-x)+sin-¹(1-x²/1+x²)
PUT [email protected]
[email protected]=TAN-¹(x)
now 2tan-¹([email protected]/[email protected])+sin-¹(1-tan²@/1+tan²@)
2tan-¹(tan(π/[email protected])]+sin-1([email protected])
=2(π/[email protected])+sin-¹(sin(π/[email protected])
=π/[email protected]+π/[email protected]=2π/2=π

Y=e1xy=e1x

Find the yy value at x=−1x=-1.

Tap for FEWER steps...

Replace the VARIABLE xx with −1-1in the expression.

f(−1)=e1−1f(-1)=e1-1

Simplify the result.


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TRIGONOMETRY Examples

Popular Problems

 

Trigonometry

Graph y=e^(1/x)

y=e1xy=e1x

Find the yy value at x=−1x=-1.

Tap for fewer steps...

Replace the variable xx with −1-1in the expression.

f(−1)=e1−1f(-1)=e1-1

Simplify the result.

Tap for fewer steps...

Divide 11 by −1-1 to get −1-1.

f(−1)=e−1f(-1)=e-1

Remove the negative exponentby rewriting e−1e-1 as 1e1e.

f(−1)=1ef(-1)=1e

The final answer is 1e1e.

1e1e

The yy value at x=−1x=-1 is 0.36787940.3678794.

y=0.3678794

.......

The FIRST TERM is -15

sinax=bx=

sin0+0=1 as x is INFINITELY CLOSER to

Here's the ANSWER..........

A+4d=17
a+4*8=17
a=17-32
a=(-15)

This is the right ANSWER.
SECOND ONE is the answer of question 7

24. 9^x+2 = 240 +9^x

or 9^x+2-9^x = 240

or (9^x*9²)-9^x-240

or 9^x (9²-1)=240

or 9^x (81-1)=240

or 9^x * 80 = 240

or 9^x = 240/80

or 3^2X = 3^1

or 2x = 1 [∵ the bases are equal, equating them:]

or x= 1/2

Divisor is the no. by which the no. is being DIVIDED....

for e. G there is a no. 24.. so it's factors would be 2,3.... that means they can be divided by these numbers and known as factors of these numbers

multiple means double the no. of it....
for e. g 2 .. it's multiple is 4,6,8 etc......

Office opens at 9:00 a.m. and closes at 5:30 with the lunch BREAK of 30 MINUTES

so, total office in hours from 9:00 am to 5:30pm WITHOUT lunch break is = 8 hours

total office in time = 8*60 = 480min

ratio of lunch break to total period of office = 30:480 = 1:16

1,2,3,6,18 are the FACTORS of your no. -18

2.3094010768 is so that it is IRRATIONAL NUMBER

PLEASE TYPE the QUESTION CORRECTLY .

First prove that ROOT 3 is an IRRATIONAL NUMBER then you can write that the division of a RATIONAL number and an irrational number is always irrational number. therefore 4 / under root 3 is an irrational number

% of BOYS = 54.54
% of GIRLS = 45.46

The value of y MAYBE 1 or multiples of 9.
If it is a multiple of 9 then by adding the number if we GET 9 or multiples of 9 then it is multiple of 9.
2+1+1+5=9.

-3/4 + 5/6 = ............

5x+9y+6y+7y+8x+7x+5x

10/25×100=40% it is the ANSWER

✔⭐hope it HELPS you⭐✔