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?
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How many atoms of Chlorine are present in 0.072g of FeCl3?
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Please explain about the way to calculate the number of atoms of a certain element in a given mass of a compound?
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In what ratio is the line joining the points (1,3) and (2,7) divided by the line 3x+y=9?
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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?
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A right angled triangle is formed in first quadrant by a line passing through (2,1) at the X-intercept (a,0) and Y-intercept (0,b). Calculate the area of the triangle as function of "x"?
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If a projectile was shot from a building with a initial velocity of 60m/s at an angle of30^o and took 3 sec to reach the ground,find the height of the building?
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Solve the following two linear equation by substitution and elimination method:
ax+by=(a-b) , bx-ay=(a-b) ?
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Solve the following two linear equation by substitution and elimination method:
ax+by=(a-b) , bx-ay=(a+b) ?
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How to solve for x and y if the equations are:
(5/(x+y))-(2/(x-y))+1=0 and (15/(x+y))+(7/(x-y))-10=0 ?
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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?
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If A is a number of degree and B is the number of grades of any angle, prove that:
B=A+(A/9) ?
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How to solve for x if
x^2+(2/3)x-1/3=0 ?
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How to solve for x if
x^(2/3)-5x^(1/3)+6=0 ?
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Given f(x)=|x| and g(x)=5x+1
Find f(g(x)) and domain and range?
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How to evaluate (sqrt (-20))^2 step by step?
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How to solve using quadratic formula:
(b/(x-a))+(a/(x-b)=2 ?
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How to solve by quadratic formula:
(p-q)x+(2q)/x=(p+q) ?
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What is sqrt (25)? Is it +5 or -5 ?
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If G,D and C are grade, degree and radian of an angle respectively, prove that
(G-D)pi=20C ?
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Calculate the area of a parallelogram bounded by y-axis, the line x=3,a line y=2x+1 and a line parallel to that line passing through #(2,7)?
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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?
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Find a polynomial function if Y-intercept is (0,1) .If there are no X-intercepts . Degree is 4 and End behaviour is
xrarr-oo,f(x)rarr oo and
xrarr oo,f(x)rarr oo ?
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Find a polynomial function if Y-intercept is (0,-4). The X-intercepts are (-2,0) and (2,0). Degree is 2. End behaviour is
xrarr-oo,f(x)rarroo and
xrarroo,f(x)rarroo ?
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In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord?
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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?
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If tanA+sinA=p and tanA-sinA=q. Then proove that p^2-q^2=4sqrt (pq) ?
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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?
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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?
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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 ?
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What is the derivative of the function f (x)=ln (ln ((x+4)/ln (x^2+4) ?
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Prove that limit does not exist using epsilon delta proof :
lim_ (x->0) |x|/x ? Please show the scratch work too.
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Evaluate int_0^1 (t/(1+t^3))dt?
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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)?
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If cosA+cosB+cosC=0 Then prove that
cos3A+cos3B+cos3C=12cosAcosBcosC ?
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How to get surface area of a cone using integral calculus?
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How to derive power reducing formula for int(sec^nx)dx and int (tan^nx)dx for integration?
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How to integrate int (secx)dx and int (cscx)dx ?
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Proove that:
int _a^b f (x)dx= int_a^b f (a+b-x)dx ?
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Are there any method apart from integration by parts , u substituting, trig substitution or partial decomposition for difficult integrals?
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How to evaluate :
int (1+sinx)/[cosx (1+cosx)] ?
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How to integrate question of types:
int (asinx+bcosx)/(csinx+dcosx) dx where a,b,c, d are coefficients by several methods?
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How to decompose into partial fractions:
(3x)/((x+3)sqrt (x^2+1)) ?
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What is the integral of
int x^(1/3)/[x^(1/3)+x^(1/4)] ?
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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) ?
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Prove that cosec(x/4)+cosec (x/2)+cosecx=cot(x/8)-cotx ?
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If 2tanA=3tanB then prove that:
cos2A=(13cos2B-5)/(13-5cos2B) ?
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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)?