Here, the given equation of parabola is y2= 8x.
The equation of tangent to the parabola y2=8x is,
y= mx + 2/m
This tangent passes through the point (-2, 3)
So, 3 = -2m + 2/m
or, 3m + 2m2 = 2
or, 2m2+3m - 2= 0
or, 2m2 + (4 - 1)m -2 = 0
or, 2m2 + 4m - m - 2 = 0
or, 2m(m + 2) - 1(m+2) = 0
or, (m + 2) (2m - 1) = 0
Either, Or,
m = -2 m = 1/2
Required angle is,
1) That old man is Aksionov.
2) The speaker is asking about the truth of digging an escape hole .
3) The speaker means the prison's wall.
Books Review
Title: "Atomic Habits" by James Clear
Introduction:
"Atomic Habits" by James Clear is a transformative self-help book that delves into the power of small habits and their impact on personal growth and success. With a captivating writing style and practical advice, this book provides readers with valuable insights and actionable strategies to create positive change in their lives.
Summary:In "Atomic Habits," Clear introduces the concept of "atomic habits," emphasizing the profound...
Materials show varying behaviors based on their Poisson's ratio. High Poisson's ratio materials (near 0.5) contract significantly sideways when stretched and expand when compressed, seen in substances like rubber. Low Poisson's ratio materials (near 0) undergo minimal width change during axial deformation, typical of metals and common engineering materials.
