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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 = x 3 + 1.5x 2 -6x Hence, dy/dx = 3x 2 + 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 coordinates of the stationary point...
MC
Answered by Michael C. • Maths tutor
4326 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 result...
YP
Answered by Yaasir P. • Maths tutor
12075 Views

How does Elizabeth Bishop create a tone that is both serious and amusing in One Art?

In this poem, Bishop's use of language creates a tongue-in-cheek appraisal of lost love, time and chances. The beginning of the second stanza mimicks the tone of a self help guide, turning to address the rea...
IM
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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 = 2. v = t...
RF
Answered by Richard F. • Maths tutor
6900 Views

How does differentiation work?

Differentiation is essentially a method of finding the gradient of a function. To put that in better terms, imagine you have a graph of y=x, this is a straight line which means the gradient will always be th...
AG
Answered by Anthony G. • Maths tutor
3790 Views