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Given the function f(x)=λx^3 + 9, for λ other than zero, find the inflection point of the graph in terms of λ. How does the slope of the line tangent to the inflection point changes as λ varies from 0 to 1?

f'(x) = 3λx^2f''(x) = 6λxFor the inflection point (x0,y0), it is true that f''(x0)=0 so 6λxo=0 => x0= 0 (since λ cannot be zero)Therefore, the inf...

CD
Answered by Claire D. Maths tutor
2222 Views

What is a dative covalent bond?

In essence, a dative covalent bond is just a covalent bond with an unpaired electron, therefore, shared between two atoms in a delocalised manner. An example of this is Carbon monoxide, which is formed in...

OH
Answered by Oliver H. Chemistry tutor
2469 Views

What are the different registers used in French language?

Register refers to the way oneself might express themselves in different situations and towards different people. French language distinguishes four kinds of register which are: formal register (for writt...

LG
Answered by Laura G. French tutor
4290 Views

Solve the equation sec^2 x+ 2tan x = 0, 0 ≤ x ≤ 2π. IB May 2017 Exam

sec^2 x+ 2tan x = 0
use the fact that sec^2 x= tan^2 x +1
tan^2 x + 2tan x + 1 =0
(tan x +1)^2 = 0 tan x = - 1
x=3π/4, x= 7π/4

MP
Answered by Michal P. Maths tutor
2365 Views

An electron is trapped within a square well potential of width 10 nm. What would be the wavelength of the photon emitted when an electron moves from the first energy level to the ground level.

Use energy difference between ground and first level to find E1-E0. Energy of the electron a nth energy level is found using En = (n^2pi^2hbar^2)/2mL^2Where n is the energy level plus 1, pi and h...

AG
Answered by Aubin G. Physics tutor
1318 Views

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