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if y = Sin(x^(2) + 5) then find dy/dx

Area of the region bounded by y=e^(x),y=e^(-x) and the line x=1 is

If a_(1), a_(2), ……., a_(n) are in A.P. with common differece d != 0, then (sin d) [sec a_(1) sec a_(2) + sec a_(2) sec a_(3) + .... + sec a_(n - 1) sec a_(n)] is equal to

Statement 1: The area of the ellipse 2x^(2)+3y^(2) =6 is more than the area of the circlex^(2) +y^(2) -2x +4y +4=0 Statement 2: The length of semi-major axis of an ellipse is more than the radius of the circle.

inte^(x)(cotx-cot^(2)x)dx=.......+c

If A = ((i,-i),(-i,i)) and B= ((1,-1),(-1,1)) then A^(8) equals

Compute the area contained between the cissoid y^(2)=(x^(3))/(2a-x) and its asymptote.

The solution of (dy)/(dx) = 2xy - 2y + 2x -3 is

If f (x,y) =3x ^(2) + 2xy where x = r + 2s ^(2), y = r ^(2) -s find (delf)/(delr), (drl f)/(dels).

The scalar vecA. (vecB.vecC)xx(vecA + vecB + vecC)equals

Evaluate int_(0)^(n^(2))[ sqrt(x)] dx ( n in N) where [ ] denotes the GIF

Statement-I : If e^(itheta)=costheta+isintheta then for the DeltaABCe^(iA)e^(iB)e^(iC)=-1Statement-II : If (sqrt3+1)^(100)=2^(99)(a+ib) then b=2sqrt3

Why do emotions such as anger or fear slow digestion :-

E and F are mid-points of diagonals AC and BD of squareABCD. If G is the mid-point of seg EF, then

If x is small and if the expansion of a + (b)/(1 + 2x) + ( c)/(1 -3x^2) is 1 + x + 2x^2 + ……oo find (a,b,c)

The number of ways can a collection of 30 books be divided into two groups of 10 and 20 so that the first group always contains a particular book is

Is it true that x= e^(log x) for all real x?

The vectors overlin(2i)-overline(3j)+overline(k),i-overline(2j)+overline(3k),overline(3i)+overline(j)-overline(2k)

If the function f(x)=(sin 3x)/(x)" for "x ne 0 and f(0)=k/2 is continuous at x=0 then k=

Let A = {z: z in C, |z-i| = |z+1|} and B = {z : z in C, |z| =1}, Then

Discuss the continuity of sine function

What does "The Last Lesson" symbolize?

Evalute the following integrals int sqrt(e^(x) - 4) dx on [ log_(e)^(4), infty)

Consider point A(6, 30), point B(24, 6) and line AB: 4x+3y = 114. Point P(0, lambda) is a point on y-axis such that 0 lt lambda lt 38 " and point " Q(0, lambda) is a point on y-axis such that lambda gt 38. For all positions of pont Q, and AQB is maximum when point Q is

For the plane vec(r).(2hat(i)+3hat(j)+5hat(k))=3

Consider point A(6, 30), point B(24, 6) and line AB: 4x+3y = 114. Point P(0, lambda) is a point on y-axis such that 0 lt lambda lt 38 " and point " Q(0, lambda) is a point on y-axis such that lambda gt 38. The maximum value of angle APB is

Consider point A(6, 30), point B(24, 6) and line AB: 4x+3y = 114. Point P(0, lambda) is a point on y-axis such that 0 lt lambda lt 38 " and point " Q(0, lambda) is a point on y-axis such that lambda gt 38. For all positions of pont P, angle APB is maximum when point P is

For the following probability distribution E(X^(2)) is equal to .......

Locus of centroid of the triangle whose﻿ vertices are (a cost, a sint), (b sint,b cost)﻿ and (1, 0), where t is a parameter, is

If y=mx+6is a tangent to both the parabolas y^2=8xand x^2=3by , thenbis equal to :

If the line 2x+5y=12 intersect the ellipse 4x^(2)+5y^(2)=20 in two distinct point A and B, then mid-point of AB is,

Eachof thefivequestionsin a multiplechoicetesthas4possibleanswer. Thenumberof differentsetsof possibleanswersis

Find thearea of theregionboundedby theparbolay^2 =xandlinex+y=2

Find the value of sum_(i=1)^n sum_(i=1)^n sum_(k=1)^n 1

The sum of the maximum and the minimum values of 3x^(4)-2x^(3)-6x^(2)+6x+4, in (0, 2) is

Let P={theta:sin theta-cos theta=sqrt(2)cos theta} and Q={theta :sin theta+cos theta=sqrt(2)sin theta} be two sets. Then

Evaluate the following integrals. int(1)/((x^(2)_a^(2))(x^(2)+b^(2)))dx

If l and b are respectively the length and breadth of the reactangle of greatest area that can be isscribed in the ellipse x^(2)+4y^(2)=64 then (l,b)=

If 5 boys and 5 girls sit in a row at random what is the prbability that no two of the same sex come together.

Evaluate the following integrals: int_0^(pi/2) cos^2x dx

For which value of a, A function,f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-1attains its maximum value point.

Find a if f(x)={((sqrt(5x+2)-sqrt(4x+4))/(x-2),x!=2),(a,x=2):} is continuous as x=2

Find the area enclosed by the ellpise x^(2)/a^(2) + y^(2)/b^(2) = 1

Write down the power set of{{phi}}

Write down the power set of{phi}

Write down the power set ofphi

The maximum electric field at a point on the axis a uniformly charged ring is E_(0). At how many points on the axis will be magnitude of electric field be E_(0)//2

Locus of centroid of the triangle whose vertices are (a cost, a sint), (b sint,b cost) and (1, 0), where t is a parameter, is