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Simplify- (8/27)^(2/3)

We know that (8/27)^(1/3). = (2/3)Then do (2/3)^2 = (4/9)Split up 2/3, into powers of 1/3, and 2.

Answered by Theo M. • Maths tutor

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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

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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

3130 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

4924 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

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