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Let y be a function of x such that y=x^3 + (3/2)x^2-6x and y = f(x) . Find the coordinates of the stationary points .

y = x3 + 1.5x-6x Hence, dy/dx = 3x2 + 3x - 6 Solve to find x when dy/dx = 0 as gradient is zero at stationary points Substitute the vaules for x back into y to find y co...

MC
Answered by Michael C. Maths tutor
3998 Views

Two forces P and Q act on a particle. The force P has magnitude 7 N and acts due north. The resultant of P and Q is a force of magnitude 10 N acting in a direction with bearing 120°. Find the magnitude of Q and the bearing of Q.

There are 2 methods to solving this- the visual method and the kinesthetic method. Here I will use the visual one. We start by creating a vector triangle. We are going to use R = P + Q, where R is the res...

YP
Answered by Yaasir P. Maths tutor
11437 Views

A particle is moving in the with acceleration (2t - 3) ms^-2 and initial velocity 2ms^-1. Find the distance travelled when the velocity has reached 12ms^-1.

(1.) Integrate the expression for acceleration to find an expression for velocity: Velocity v = t^2 - 3t + c        When t = 0, velocity = 2. Substituting in to find constant c, 2 = 0 + 0  + c therefore c...

RF
Answered by Richard F. Maths tutor
6539 Views

Explain the First Past the Post electoral system and briefly describe its advantages and disadvantages.

The First Past the Post (FPTP) system is used for United Kingdom general elections. It consists of various elections in single member constituencies, the winner simply being the candidate who wins the mos...

JW
3457 Views

Can you explain the difference between saturated and unsaturated fatty acids?

The key distinguishing feature between saturated and unsaturated fatty acids is the presence of a double bond. This double bond, present only in unsaturated fatty acids, will mean there are less hydrogen ...

BM
Answered by Brendan M. Biology tutor
13539 Views

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