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A curve has equation y = 20x - x^2 - 2x^3 . The curve has a stationary point at the point M where x = −2. Find the x- coordinate of the other stationary point of the curve

A stationary point on a curve is when the differential of the equation of the curve = 0. In other words when dy/dx = 0Take the equation in the question: y = 20x - x 2 - 2x 3 A simple rule to find the differe...
HJ
Answered by Henry J. • Maths tutor
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Let a = 4b + 5(c - b). Find the value of c when a = 8 and b = 7.

a = 4b + 5(c - b) - question8 = (4*7) + 5(c - 7) - insert values given in question8 = 28 + 5c -35 - multiply and expand brackets8 - 28 + 35 = 5c - take away 28 from the left and right-hand side of the equati...
GH
Answered by George H. • Maths tutor
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Do we have a moral obligation to protect the weak globally?

If faced with this at interview, the first thing to do is BREATHE! You aren't going to come up with a well thought through answer if you panic and blurt out the first thing that comes into your head. The int...
PE
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Explain how an acceleration-displacement graph could be used to determine the frequency of oscillation of a metal plate.

Acceleration (A)= Angular Velocity 2 (w 2 ) Displacement (x)Angular Displacement= 2pi Frequency (f)Gradient= A/x = w 2 = [2pi*f] 2 Rearrange the equation to get - f= (sqrt)gradient/ 2pi
TO
Answered by Tise O. • Physics tutor
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Find the equation of the line through the following points: (-2, -3) and (1, 5)

Note the formula: y - y 1 = m(x - x 1 )x, y, x 1, y 1 refer to the values of your given coordinates. 'm' symbolises the gradient of the line you are asked to findRearrange the formula to make 'm' the subject...
TO
Answered by Tise O. • Maths tutor
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