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If f(x) =x^2 - 5x + 7 what are the coordinates of the minimum of f(x-2)?

The easiest way to do this is to notice that f(x-2) is just f(x) translated by two in the positive x-direction - it is not necessary to calculate what f(x-2) is at any point! So we calculate f'(x) = 2x - 5Se...
JN
Answered by James N. • MAT tutor
3270 Views

Why does integration by parts work?

Recall the product rule for differentiation: the derivative of uv is equal to u'v+uv'.If we use the fact that integration reverses differentiation (so the integral of f' is f), then we calculate that uv is e...
TB
Answered by Thomas B. • Maths tutor
5380 Views

How influential are pressure groups in the USA

Pressure groups have been very influential in the USA because they are able to shape debate, shape agenda and determine outcomes. However others have argued that party and voters have more influence than pre...
SH
14479 Views

Asteroid of mass 10^16 kg is travelling in the equatorial plane of Earth. It hits the surface at 45°. After the impact the day shortens by 1% (15 mins). How fast was the asteroid - comment? Neglect effects of atmosphere. Consider only inelastic collision.

Key idea - total angular momentum of the system is conserved. Before the collision: angular momentum of earth is given by L E =I w E , here w E is the angular velocity of Earth and I is its moment of innerti...
JK
Answered by Jiri K. • Physics tutor
2756 Views

How are the characters from at least two literary works representational of people from the time and place in which they were written?

(for the sake of this example, I will focus on one text - The Great Gatsby) Characters are moulded to embody the context of the novel in terms of ideals, standards and norms, creating vehicles for providing ...
CH
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