Use properties of determinants to solve for x:
Given,
Applying
Applying
But, x 0
Therefore, x = - (a + b + c)
Find the points on the curve 4x3 - 3x + 5 at which the equation of the tangent is parallel to the x-axis.
The population of a town grows at the rate of 10% per year. Using differential equation, find how long will it take for the population to grow 4 times.