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A curve has equation y = x^3 - 6x^2 - 15x. The curve has a stationary point M where x = -1. Find the x-coordinate of the other stationary point on the curve.

A stationary point can be found when dy/dx = 0. The first thing we need to do is differentiate y to find dy/dx, and solve it for dy/dx = 0. This gives us...

EG
Answered by Ellie G. Maths tutor
7994 Views

The line l1 has equation 2x + 3y = 26 The line l2 passes through the origin O and is perpendicular to l1 (a) Find an equation for the line l2

First we make y the subject of the l1 equation. This is so we can have it in the form y=mx +c where m is the gradient and c is your y-intercept. For this example we would take away 2x from both sides leav...

YB
Answered by Yusuf B. Maths tutor
7854 Views

find the root or roots of the following equation: 2x^2 + 18x + 36

finding the roots, means to find the coordinates at which the curve intersects the X axis. At first look you may notice that each function in the equation is divisible by 2, you can do this to make solvin...

JH
Answered by Jason H. Maths tutor
2979 Views

How do you find the length of a side of a right-angled triangle given the angle and the hypotenuse?

First label the triangle to show the opposite, adjacent and hypotenuse. Then you can use SOHCAHTOA to determine which trig function is needed. If you need to work out the opposite you use the sin function...

LS
Answered by Lucy S. Maths tutor
3046 Views

ForA=2x^2 –18x+80 (i) find dA/dx , (ii) find the value of x for which A is a minimum

dA/dx = 4x -18 : multiply the number before the x (coefficient) by the power and minus 1 from the power.4x = 18 so x = 4.5 to find the minimum or maximum point, make the differential equal to 0 and solve ...

DA
Answered by Dan A. Maths tutor
6009 Views

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