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A curve is defined by the parametric equations x=t^2/2 +1 and y=4/t -1. Find the gradient of the curve at t=2 and an equation for the curve in terms of just x and y.

To find the gradient of the curve at t=2 we need to find an expression for dy/dx and then substitute in for t=2. We can make use of the chain rule to find this expression because dy/dx = (dy/dt)/(dx/dt) and ...
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Answered by Steven C. • Maths tutor
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Describe the formation of a waterfall

As a river moves through its upper course, it creates multiple erosional features such as waterfalls. The river moves over varying rock types, some harder and more resistant to erosion than others. The softe...
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Answered by Jamie S. • Geography tutor
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What is the difference between the present perfect and the imperfect?

Present Perfect Finished past action: Il a cuisiné. An action which lasted a certain amount of time: Elle a étudié au lycée pendant trois ans. An action which has been repeated several times: Il a sonné quat...
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Answered by Esther M. • French tutor
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What are the two auxiliary verbs in Italian grammar?

They are "essere" (to be) and "avere" (to have).
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Answered by Francesco M. • Italian tutor
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How is blood pumped by the heart?

There are 3 main phases in the cardiac cycle: Diastole, Atrial systole, Ventricular systole 1.Diastole: -The heart fills with blood as the atria and ventricles relax. -Blood flows from the major veins(vena c...
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Answered by Victoria L. • Biology tutor
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