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The mass of a square plate of side length ' 2l ' is ' M '. A semi circular portion is cut off and placed as shown. Find the COM of the resulting distribution. *Image* Fast plz! ...

A particle moves along the x - axis according to the law x = a cos ωt. Find the distance that the particle covers during time interval from t = 0 to t = t. HELP! ...

*Image* what will be the final product after adding 1.BH3 / T.H.F 2.H2O2 /0H-1 ...

what volume of .1 M H2SO4 must be added to 50mL of a .1M NaOH solution to make a solution in which molarity of H2SO4 is .05M (a)400ml (b)50ml (C)100ml (d)150ml answer given is (C) whereas i am getting (b) ...

If x,y,p satisfy x2+y2=p where p is a prime (4k+1) Then prove that the above equation has one and only one solution in Z ...

The Relation Between velocity (V) and displacement (x) is given by V=k(a2-x2) Where, k=konstant a=konstant Find the position at the end of 3 seconds ?...... ...

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What's d solution of log(a-bx) ????????????????? ...

Is it possible to find a continuous function defined over all real numbers such that its graph intersects any non-vertical line in infinitely many points? ...

My cousin, who currently is in 12th std. wanted to know the following: 1) Syllabus for the entrance exam of BHU for B.Sc. Hons. in Mathematics (Is physics and chemistry included in the entrance exam?) 2) Last date of receivin ...

value of a for which the equation 4cosec2[pi(a+x)]+a2-4a=0 has real roots..... ...

Find all continuous functions f:\mathbb{R}\to [1,\infty) for which there exist an a\in\mathbb{R} and k , a positive integer, such that f(x)f(2x)\cdots f(nx)\le an^k for every real number x and positive integer n. ...

Given are three real numbers a,b,c. satisfying abc+a+c=b. Prove that 2/a2+1 - 2/b2+1 + 3/c2+1 ≤ 10/3 . Can the equality hold? PS. This does not require any inequality theorem(not even Am-Gm). I cant claim to have solved thi ...

A solid sphere of radius R is charged uniformly.At what distance from its surface is the electrostatic potential half of the potential at the centre? 1) R 2) R/2 3) R/3 4) 2R I know the final answer.But how to solve this one? ...

find all integers a such that (x+a)(x+1991) + 1 can be written as (x+b)(x+c) where b and c are integers themselves. it implies that we have to find all integers a , b and c such that 1991 + a = b + c and 1 + 1991a = bc for so ...

If x,y,z≥0 and x2+y2+z2=3 Find the max for the expression F=xy+xz+yz+ 5/x+y+z ...

pls someone help me..in the graph f(x)=1/x(reciprocl function of x) we observe that x(tends) -- 0+ then f(x) -- +infinity and x--0(minus) then f(x)-- minus infinity and when x tends to plus or minus infinty then f(x) tends to ...

Show that : tan2 π/7 +tan2 2π/7 +tan2 3π/7 =21 ...

\hspace{-16}\bold{(Q)::}\; $If $\mathbf{p(z)=|2z-1-i|+|3z-2-2i|+|4z-3-3i|}$\\\\ Then find Min. of $\mathbf{p(z)}$ and also find corrosponding Complex no.$\mathbf{z}$ ...

1> if y represents mass and x represents velocity then dimensional formula for d3y/dx3 will be? 2> in the eqn y=Asin(ax+bt),if x and y are in meter,t is in second,hen unit of 'a' is 1 /meter true or false? ...

Prove that the number nm(n-m) is even for any integers n & m ...

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1.10.2 F LIM sqrt(2xsquared+3)/4x+2 as x→∞ is given as does not exist!!!! I dont know why. Somebody help me!!! ...

1. Find the largest term of the following sequence: \text{a) } a_{n}=\frac{n^2}{n^3+200} 2. ABC is an isosceles triangle inscribed in a circle of radius r, AB=AC and h is the altitude from A to BC. If the triangle ABC has per ...

what is the remainder of -17/3??:D a very basic and simple one!! ...

Let f be a function from the set of points in the plane to the set of real numbers ,with the property that for any square ABCD, f(A)+f(B)+f(C)+f(D) = 0 Prove that f(P) = 0 , for any point P in the plane. Not a doubt. ...

If O be the circumcentre and O' be te orthocentre of ΔABC then prove that (i) OA + OB + OC = OO' (ii) O'A + O'B + O'C = 2 O'O (iii) OAsin2A + OBsin2B + OCsin2C = 0 bold lines signify vectors and 0 signifies nul vector!! plea ...

got it got it sorry thanks everyone! ...

Givn the integral of sqrt (x^2 - a^2) is it possible to find the integration of sqrt (a^2 - x^2) without using further integration ...

what is the inverse of the matrix 1 3 -2 -3 0 -5 2 5 0 ...