I have seen two approaches to the method of integration by substitution (in two different books). On searching the internet i came to know that Approach I is known as the method of integration by direct substitution whereas Approach II is known as the method of integration by indirect...
@jim mcnamara, Nope this is not homework. I was just trying to figure out the steps to draw resonance structures of any compound, that is, the rules for "delocalising" the electrons.
@DrDu, but the electrons are delocalised (due to which they can move). Aren't they? If these rules are wrong then how does one draw the resonance structures of a compound?
In my chemistry study material a set of rules to draw resonance structures are given. They are:
(1) Only electrons move. The nuclei of the atoms never move.
(2) The only electrons that can move are pi electrons (electrons in pi bonds) and lone-pair electrons.
(3) The total number of electrons...
1. Homework Statement :
A person aims a gun at a bird from a point at a horizontal distance of 100m. If the gun can impart a speed of 500m/s to the bullet , then above what height of the bird he should aim his gun to hit it ?
2. Homework Equations :
H_{max}=\frac{u^2\sin^2\theta}{2g}...
I am getting cos(θ)=3/[sqrt{5(5+5t^2−8t)}]. I am not posting my attempt because it is very lengthy and on top of that i do not know how to type them properly.
1. Homework Statement :
r vector = 3t i + (4t-5t2)j. Find the angle made by the vector with respect to the x-axis and the y-axis.
2. Homework Equations :
A.B=AxBx+AyBy
3. The Attempt at a Solution :
I tried to take the dot product of the unit vector along x-axis and r. I did the same for...
Here is the numerical part with proper editing.
Let A and C combine in the ratio \frac{a}{c1} and let B and C combine in the ratio \frac{b}{c2}=\frac{b*c1}{c1*c2}.(by mass). Then according to the law of reciprocal proportions, \frac{a*c2}{b*c1}=k \frac{a}{b} where k is whole number. If we...
Doubts regarding the law of reciprocal proportions: What i have understood by reading the definition is that the ratio of the masses in which two elements A and B combine with a fixed mass of a third element C, will be a whole number multiple of the ratio of the masses in which A and B combine...
1. Homework Statement : Determine the resultant of three vectors of magnitude 1, 2 and 3 whose directions are those of sides of an equilateral triangle taken in order.
2. Homework Equations :
R2 = A2 + B2 + 2 A B cos θ
tan α = B sin θ/(A+B cos θ)
3. The Attempt at a Solution ...
Background: Amount of substance is a fundamental physical quantity which has mole (mol) as it's SI unit. Therefore all expressions for amount of substance should have the unit mole on simplification.
Therefore, if A = Amount of substance (normally in moles), m = Mass of the substance in a...
I am facing a lot of problem in proving trigonometric results (advanced ones). There are a lot of formulas (compound angle related ones, transformation of sum into product ones and vice versa, multiple angle and sub-multiple angle ones). I am unable to figure out how to proceed forward in...