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A particle, P, moves along the x-axis. The displacement, x metres, of P is given by 0.5t^2(t^2 - 2t + 1), when is P instantaneously at rest

differenciate and then eqate with v = 0.

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Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?

Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equ...

Answered by Emma J. • Maths tutor

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f(x) = sinx. Using differentiation from first principles find the exact value of f' (π/6).

The derivative of the function where x=π/6 is defined asThe limit as h->0 of [sin(h+π/6)-sin(π/6)]/hUsing the double angle formula, sin(h+π/6) = sin(h)cos(π/6) + cos(h)sin(π/6) = √3sin(h)/2 + cos(h)si...

Answered by • Maths tutor

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There is a spinner game at a fair. The spinner is numbered with all even numbers from 2 to 12. Each section is equal in size. Dan has numbers 4 and 10. What is the probability that he wins a prize? Give your answer as a fraction in its simplest form.

The even numbers from 2 to 12: 2, 4, 6, 8, 10, 12That means there are 6 numbers on the spinner If Dan has 4 and 10 and all the portions are the same, the chances of landing on 4 or 10 is 2/6Simplifying th...

Answered by Katherine B. • Maths tutor

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If I know the length of the hypotenuse and one angle, how do i find the length of the side opposite to the angle?

In this problem, we are concerned with the hypotenuse and the opposite sides of the right angle triangles. From SOHCAHTOA we can see that the opposite (O) and hypotenuse (H) are associated with the sine f...

Answered by Jake C. • Maths tutor

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