Christopher

Find the lengths of thr subnormal and subtangent to the curve y=2sin X, x=3cos X, at the point X=pi/6.

#ans provided:

subnm. =2 (sqrt3)/3

subtgt. = (sqrt3)/2

Find dy/dx of

(i) y=x/[(1+x)(1-2x)]

(ii) y=(1+sin x)/(1+ cos x)

(iii) y=sin 3x/(1-x)^3

Find the point of intersection of the curve xy=1, 2x^2-y=1, and determine the angles of which they cut each other.

the given answer is

(1,1),(-1,-1)

angle of intn.=arc tan 3=71°30'

1. If the first three terms of the expansion of (a+3x)^n are b+(21bx/2)+(189bx^2/4), find the value of a,b and n.

1. Calculate the volume of oxygen at STP which could be obtained from 75cm^3 of hydrogen peroxide solution which has a concentration of 68 g/dm^3.

2.1 Describe what you guy can observe when hydrogen peroxide solution is mixed with an acidified solution of potassium manganate (VII) solution.

2.2 Write balanced ionic equation of this reaction.

I could give u [HINT=H2SO4 + MnO4^-]♥♥♥

If u are an expert and manage to answer this both I'll give you guy 5 ★

Thanks in advance##

Ordinary air from the atmosphere contains about 21percent of oxygen whereas the proportion of oxygen in the mixture released by boiling river water is about 30percent.The best explanation of the increase in the percentage of oxygen is that___________

Ordinary air from the atmosphere contains about 21percent of oxygen whereas the proportion of oxygen in the mixture released by boiling river water is about 30percent.The best explanation of the increase in the percentage of oxygen is that___________

(i) 2alpha, 2beta

(ii) 1/alpha, 1/beta

(iii) alpha +2beta, beta+2alpha

given answer are

(i) x^2-x+12=0

(ii) 6x^2-x+2=0

(iii) 2x^2-3x+7=0

1. When one mole of oxide of metal M, M3O4, is reduced by excess hydrogen gas, what is the maximum mass that may be reduced?

A. 16g

B. 18g

c. 48g

D. 64g

2. MH2(g) + 2H2O(l)→M(OH)2(s) + 2H2(g)

0.42g of dry hydrogen gas was liberated at STP.Calculate the relative atomic mass of M.

Answer given is 40.

Answer given: q=25/12

When one mole of oxide of metal M,M3O4, is reduced by excess hydrogen gas,what is the maximum mass that may be reduced?

A. 16g

B. 18g

C. 48g

D. 64g

A solid right circular cylinder of length 10cm and radius 2cm has its axis vertical, and its top end is 15cm below the surface of a fluid of relative density 1.3.Calculate the thrust on:

(a) the upper;

(b) the lower end of the cylinder due to the fluid.

(c) Find your result deduce the loss of weight of the cylinder on immersion in the fluid.

(a) 2.45N

(b) 4.08N

(c) 1.63 N

The element X has a relative atomic mass of 35.5. X₂ reacts with a sodium salt of Y according to the equation:

2NaY + X₂ --› Y₂ + 2NaX

If 14.2g of X₂ is used and 50.8g of Y₂ is formed, what is the relative atomic mass of Y?

Nitrogen dioxide reacts with water according to the following equation:

3NO₂ + H₂O »2HNO₃ +NO

If 23g of nitrogen dioxide was reacted, calculate the mass of nitric acid produced.

1.What does a force do work? How the work it does is measured?

2.Define the watt and kilowatt.

3.Define potential energy and kinetic energy.

4.What is meant by density of a substance?

5.Define density and relative density.

1.State the principle of the conservation of energy and illustrate it by discussing the energy which occurs when a pendulum bob is drawn to one side and allowed to oscillate. Why does the bob eventually come to rest and what has become of its energy?

1.1. Discuss about the energy change of a pendulum bob when it is allowed to oscillate.

1.2.Why does the bob eventually come to rest?