Questions asked by AJ
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Chemical reaction takes place when iron dust is added into copper sulphate solution but no reaction takes place when copper dust is added into ferrous sulphate solution, why?

How many atoms of Chlorine are present in 0.072g of FeCl3?

Please explain about the way to calculate the number of atoms of a certain element in a given mass of a compound?

In what ratio is the line joining the points (1,3) and (2,7) divided by the line 3x+y=9?

A hill station has a road that has road slope grade of 6% or 6÷100. If a vehicle drives 200 miles through that road,how much vertical distance is he covering?

A right angled triangle is formed in first quadrant by a line passing through (2,1) at the Xintercept (a,0) and Yintercept (0,b). Calculate the area of the triangle as function of "x"?

If a projectile was shot from a building with a initial velocity of #60m/s# at an angle of#30^o# and took 3 sec to reach the ground,find the height of the building?

Solve the following two linear equation by substitution and elimination method:
#ax+by=(ab) , bxay=(ab)# ?

Solve the following two linear equation by substitution and elimination method:
#ax+by=(ab) , bxay=(a+b)# ?

How to solve for x and y if the equations are:
#(5/(x+y))(2/(xy))+1=0# and #(15/(x+y))+(7/(xy))10=0# ?

A ball is thrown off a building of height 2 metres at the horizontal velocity of 10m/s. If a boy is 10 m away from the bottom of the building. Would that ball hit him?

If A is a number of degree and B is the number of grades of any angle, prove that:
#B=A+(A/9)# ?

How to solve for x if
#x^2+(2/3)x1/3=0# ?

How to solve for #x# if
#x^(2/3)5x^(1/3)+6=0# ?

Given #f(x)=x# and #g(x)=5x+1#
Find #f(g(x))# and domain and range?

How to evaluate #(sqrt (20))^2# step by step?

How to solve using quadratic formula:
#(b/(xa))+(a/(xb)=2# ?

How to solve by quadratic formula:
#(pq)x+(2q)/x=(p+q)# ?

What is #sqrt (25)#? Is it #+5# or #5# ?

If G,D and C are grade, degree and radian of an angle respectively, prove that
#(GD)pi=20C# ?

Calculate the area of a parallelogram bounded by yaxis, the line #x=3#,a line #y=2x+1# and a line parallel to that line passing through #(2,7)?

Find the dimensions of the rectangular corral split into #2# pens of the same size producing the greatest possible enclosed area given #300# feet of fencing?

Find a polynomial function if Yintercept is #(0,1)# .If there are no Xintercepts . Degree is #4# and End behaviour is
#xrarroo,f(x)rarr oo# and
#xrarr oo,f(x)rarr oo# ?

Find a polynomial function if Yintercept is #(0,4)#. The Xintercepts are #(2,0)# and #(2,0)#. Degree is #2#. End behaviour is
#xrarroo,f(x)rarroo# and
#xrarroo,f(x)rarroo# ?

In a circle of diameter #40# cm, the length of a chord is #20# cm. Find the length of minor arc of the chord?

When a discount of #15%# is allowed on the marked price of a article,it is sold for #4250$# . If the marked price is #25%# above the cost price of the article. Calculate gain or loss percentage?

If tanA+sinA=p and tanAsinA=q. Then proove that #p^2q^2=4sqrt (pq)# ?

A spring attached to a ceiling is pulled down #20# cm. After #3# seconds, wherein it completes 6 full periods, the amplitude is #15# cm. Find a sinusoidal function modelling it's position #t# seconds after released?

A spotlight on the ground 3 feet away from a 5 feet tall man cast a 15 feet shadow on a wall 6 feet away from the man. Find the angle in which light is placed?

Prove that the line #xcosA+ysinA=p# is tangent to ellipse #(x^2/a^2)+(y^2/b^2)=1# if #p^2=a^2cos^2A+b^2sin^2A# ?

What is the derivative of the function #f (x)=ln (ln ((x+4)/ln (x^2+4)# ?

Prove that limit does not exist using epsilon delta proof :
#lim_ (x>0) x/x# ? Please show the scratch work too.

Evaluate #int_0^1 (t/(1+t^3))dt#?

Prove that: if #A+B+C=180°#
#cot(A/2)×cot (B/2)×cot (C/2)=cot(A/2)+cot (B/2)+cot (C/2)#?

If #cosA+cosB+cosC=0# Then prove that
#cos3A+cos3B+cos3C=12cosAcosBcosC# ?

How to get surface area of a cone using integral calculus?

How to derive power reducing formula for #int(sec^nx)dx# and #int (tan^nx)dx# for integration?

How to integrate #int (secx)dx# and #int (cscx)dx# ?

Proove that:
#int _a^b f (x)dx= int_a^b f (a+bx)dx# ?

Are there any method apart from integration by parts , u substituting, trig substitution or partial decomposition for difficult integrals?

How to evaluate :
#int (1+sinx)/[cosx (1+cosx)]# ?

How to integrate question of types:
#int (asinx+bcosx)/(csinx+dcosx) dx# where a,b,c, d are coefficients by several methods?

How to decompose into partial fractions:
#(3x)/((x+3)sqrt (x^2+1))# ?

What is the integral of
#int x^(1/3)/[x^(1/3)+x^(1/4)]# ?

If two circles #x^2+y^2+2ax+c^2=0# and #x^2+y^2+2by+c^2=0# touch each other externally then prove that #1/(a^2)+1/(b^2)=1/(c^4)# ?

Prove that #cosec(x/4)+cosec (x/2)+cosecx=cot(x/8)cotx# ?

If #2tanA=3tanB# then prove that:
#cos2A=(13cos2B5)/(135cos2B)# ?

Identify whether the infinite series converge absolutely conditionally or dont
#sum_(n=1)^oo (1)^(n+1) (n (arctan(n+1)arctan (n))#
(Apply Mean Value theorem to conclude)?