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Find dy/dx at t=3, where x=t^3-5t^2+5t and y=2t^2

Using the product rule, we find that dy/dx= dy/dt multiplied by dt/dx, where dt/dx is the reciprocal of dx/dt dx/dt= 3t^2-10t+5, dy/dt= 4t At t=3, dx/dt= 3(3)^2-10(3)+5=2, dy/dt= 4(3)= 12 Therefore, dt/dx= 1...
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Answered by Oore A. • Maths tutor
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A) Multiply out 6(n - 2). B) Factorise psquared - 5p

A) 6n - 12 B) p(p-5)
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Answered by Ally W. • Maths tutor
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What is the relationship between the boiling point of an alkane and the number of carbon atoms in its molecule?

The boiling point increases as the number of carbon atoms increases.
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Answered by Ally W. • Chemistry tutor
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Express 21/root7 in the form k root7.

21/root 7 = 21root7/7 = 3root7 k = 3
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Answered by Ally W. • Maths tutor
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Given that y = 5x(3) + 7x + 3, find A) dy/dx B) d2y/dx2

A) 15x 2 +7 B) 30x
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Answered by Ally W. • Maths tutor
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