Recently Active Mathematics Questions

Solve for y... \frac{dy}{dx}=\frac{yf'(x)-y^2}{f(x)} Is not as difficult as it looks?! ...

\frac{d^2y}{dx^2}(x^2+1) = 2x\frac{dy}{dx} Solve for y ...

if P= (10999+9.10998 +92.10997......9999.1)/(101000-91000) find the value of (p+1)(p+100)/p(p-2) ...

\int_{0}^{\frac{\pi }{2}}{sec\left(x- \frac{\pi }{6} \right)}sec\left(x-\frac{\pi }{3} \right)dx ...

Find the minimum degree of a polynomial equation which has integral coefficients and has one of the roots as cos12.? ...

I have solved this question...but still cant understand the geometry of this ques.....plz help me with that... Q Prove that in ellipse the perpendicular from focus upon any tangent and hte line joining teh centre of ellipse t ...

find the time (to the nearest second) between 10:00 and 11:00 when the hours and the minutes hands of the clock are symmetric about the axis passing through 12:00 and 6:00 i forgot the options given! ...

Solve \left|\sin x\right|^{\sin ^2x-\sin x-2 }<1 ...

If a right angle is divided into three parts α,β,γ prove that for all possible divisons, tanα+tanβ+tanγ>1+tanαtanβtanγ ...

if α lies in the fourth quadrant and cosα=3/7 find the values of sinα/2 and cosα/2 ? ...

Sally is thinking of a 6-digit number. The sum of the digits is 43. And only two of the following three statements about the number are true: (1) it's a square number. (2) it's a cube number, and (3) the number is under 50000 ...

if m, n ,p are positive integers satisfying mnp.npm.pmn=3mnp find value of m+n+p ...

all these are backlogs... \int \frac{dx}{(1+x^4)^{1/4}} ...

p*q*r*s = 210 find number of solutions. is d answer 24 or 256????plz post wid logic!! ...

Not at all my doubt Find total no. of positive integral solutions of xyz = 23.34.51 ...

Q1. (x+4)(x+7)(x+8)(x+11) + 20 = 0 ...

A straight line intersects equilateral triangle of unit length,dividing it into two parts S1 and S2 having equal perimeter having area A1 and A2.FIND max value of(A1/A2) AND min value of (A1/A2). ...

The number of ways in which a set A where n(A) = 12 can be partitioned in three subsets P,Q,R each of 4 elements subject to the following conditions (i) P U Q U R = A (ii) P ∩ Q = φ (iii) Q ∩ R = φ (iv) R ∩ P = φ is ...

For a sufficiently large value of n the sum of the square roots of the first n positive integers is approximately equal to? ...

If P = n(n2 - 12)(n2 - 22)(n2 - 32)...(n2 - r2), n > r, n N, then P is divisible by 1. (2r + 2)! 2. (2r - 1)! 3.(2r + 1)! 4.(2r - 2)! ...

The figure here shows a 3 x 3 grid. As you can see each cell can have maximum four walls. What is maximum number of walls that a N x N grid can have? This 3 x 3 grid has 24 walls. *Image* ...

Paragraph If f(x) is a differentiable function wherever it is continuous and f '(c1) = f '(c2) = 0, f ''(c1). f ''(c2) < 0, f(c1) = 5, f(c2) = 0 and (c1 < c2) Now answer the following questions, Q. If f(x) is continuous ...

The locus of the centre of a circle which cuts the parabola y2 = 4x orthogonally at (1, 2) will pass through the point 1. (3, 4) 2. (4, 3) 3. (5, 3) 4. (2, 4) ...

f : [-1, 1] → R. f is continuous and satifies f(2x2 -1) = (x3 + x) f(x) Find f. ...

∫cos8x ...

draw graph of y=sin2x ...

\left(a+b+c \right)\left(\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \right)=16 , a,b,c are strictly positive reals......Maximise and minimise \frac{a}{b}+\frac{b}{c}+\frac{c}{a} ... ...

the vectors 2i-mj+3mk and (1+m)i - 2mj +k include an acute angle for what value of m??? ...

∫(t-√(x2-1)/t+-√(x2-1) )dx ...

∫(sec2x/(secx+tanx)5)dx ...