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y = 2t^2, and x = 3t^3 - 2. Find dy/dx in terms of t.

dy/dt = 4t dx/dt = 9t^2dy/dx = dy/dt * dt/dx= 4/(9t)

Answered by Theo M. Maths tutor
5249 Views

If I throw a ball, of mass 2kg, straight up in the air, with velocity 10ms-1, how long until it lands? Assume gravity = 10ms-2

Using SUVAT-s = ut + 1/2 at^2Subbing in... 0 = 2t - 5t^2t = 5/2 = 2.5

Answered by Theo M. Maths tutor
2557 Views

solve the simultaneous equation: 8x+2y=46; 7x+3y=47

To solve this problem, we want to make either the x or the y values either equation the same.To work out whether to change the x or the y values, work out the lowest common multiple for each.For x, the va...

Answered by Jess W. Maths tutor
4198 Views

Find the stationary points of the graph x^3 + y^3 = 3xy +35

Differentiate wrt x to get 3x2 + 3y2dy/dx = 3y + 3x dy/dx Rearrange to get dy/dx = (3x2 - 3y)/(3x-3y2). Set dy/dx =0 and infer y=x2. Substitute in fo...

Answered by Joe B. Maths tutor
8501 Views

Solve the equation 10x + 4 = 12x + 2

2 = 2xTherefore x = 1

Answered by Zain Y. Maths tutor
2554 Views

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