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so if i have any doubt can i post it over here since we dont know the answers can anyone give it a shot.He had the one I have. He left the XPC though.
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so if i have any doubt can i post it over here since we dont know the answers can anyone give it a shot.He had the one I have. He left the XPC though.
Will try.so if i have any doubt can i post it over here since we dont know the answers can anyone give it a shot.
thanksWill try.
ksLet theta be x,
Part i)
sin^4x - cos^4x
= (sin^2x)(sin^2x) - (cos^2x)(cos^2x)
= (sin^2x)^2 - (cos^2x)^2
We know a^2 - b^2 = (a - b)(a + b)
= (sin^2x - cos^2x)(sin^2x + cos^2x)
We know sin^2x + cos^2x = 1
= (sin^2x - cos^2x)(1)
= sin^2x - cos^2x
sin^2x - cos^2x
= sin^2x - (1 - sin^2x)
= 2sin^2x - 1
Part ii)
sin^4x - cos^4x = 2sin^2x - 1
2sin^2x - 1 = 1/2
2sin^2x = 3/2
sin^2x = 3/4
sin(x) = (Roof of 3)/2
x = 60
As x lies between 0 to 360, there will be more 3 values of x.
x = 60 ; (180 - x) = (180 -60) = 120
x = 60 ; (x + 180) = (60 + 180) = 240
x = 120 ; (x +180) = (120 + 180) = 300
Therefore, x = 60, 120, 240, 300.
I got answer .. x=1.9 . but not sure if i am correct ...
well can u please post solutionI got answer .. x=1.9 . but not sure if i am correct ...
in^-1(x - 1) = tan^-1(3)well can u please post solution
THanx a bunchin^-1(x - 1) = tan^-1(3)
sin^-1(x - 1) = 1.23
Take sin at both the sides,
x - 1 = sin(1.23)
x = 0.9 + 1
x = 1.9
"use lami's rule to get the angle opposite to P1 then get the angle AP1X using subtraction from 360 degrees, then lami again to get the value of W."
WHICH QUESTION!!PLZ SOME HELP TO ME TO SOLVE THIS QUESTION !!
Question 8.WHICH QUESTION!!
Thanx a bunch i was rele worried hv exam tom thanx a bunchPART ( i ) : Differentiate y = ( 4x + 1 ) ^ 1/2
dy/dx = 2 ( 4x + 1 ) ^ -1/2
put x = 2 to get gradient of 1st tangent
PART ( I ) : Sum to infinity of progression P is a / ( 1 - r )
a= 2 r= 1/2
Sum to infinity of P is 2 / ( 1 - 1/2 ) = 4
Sum to infinity of progression Q is a / ( 1 - r )
a=3 r= 1/3
Sum to infinity of Q is 3 / ( 1 - 1/3 ) = 9/2
Arithmetic progression is 4 , 9/2 , 5
Sum to infinity of R is 5
PART ( II ) : Sum to infinity of progression R is a / ( 1 - r )
R = 5 , a =4 and r = ?
5 = 4 / ( 1 - r )
r= 1/5
sum of first 3 terms is a ( 1 - r^n ) / 1 - r
put the corresponding values of a , r and n
sum of first 3 terms is 4.96
gradient of tangent = 2 ( 4 * 2 + 1 )^ -1/2
gradient of tangent = 2/3
Differentiate y = ( 1/2) X^2 +1
dy/dx = x
put x = 2 in above equation to get gradient of 2nd tangent
gradient of 2nd tangent = 2
let theta be x
Tan x = ( M2 - M1 ) / 1 + M2M1
Tan x = ( 2 - 2/3 ) / 1 + 4/3
Tan x = 4/7
theta = 29.7 degree
Part ( ii ) : find area under the 1st curve using 2 and 0 as limits .
find area under 2nd curve using 2 and 0 as limits .
subtract both areas to get shaded area ... final answer is 1 unit square ..
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