Search our library of homework questions

Top answers

All subjects

All levels

Differentiate with respect to x, y = (x^3)*ln(2x)

By product rule,
dy/dx = x³(2/2x) + 3x²ln(2x)
= x²(1 + 3ln(2x))

6415 Views

John ran a race at his school. The course was measured at 450m correct to 2sf and his time was given at 62 econds to the nearest second. Calculate the difference between his maximum and minimum possible average speed. Round you answer to 3sf.

Upper bound for distance: 455mLower bound for distance: 445mUpper bound for time: 62.5sLower bound for time: 61.5sSpeed = Distance/timeMaximum possible average speed would be the longest distance divided ...

Answered by Gideon E. • Maths tutor

3894 Views

Examine the ways in which Plath presents nature in her poetry.

In Plath's poetry, nature is presented in increasingly threatening ways. In 'Wuthering Heights', nature seems to 'funnel her heat away' and the grasses invite her to 'whiten' her bones 'among them', refle...

Answered by Julianna B. • English Literature tutor

5112 Views

a) Point A(6,7,2) lies on l1. Point B(9,16,5) also lies on l1. Find the distance between these two points. b) l2 lies in the same z plane as l1 and crosses l1 at A and is perpendicular to l1. Express l2 in vector form.

a) Distance between two points ((x2- x1)^2 + (y2-y1)^2)^1/2Substitute in values to find distance.b) Write out l1 in vector form using info from points A and B.Use knowledge of scalar product to construct ...

Answered by Adam N. • Maths tutor

2945 Views

The perimeter of a right angled triangle is 105cm. The lengths of its sides are in the ratio of 2:6:7. Work out the area of the triangle.

Add up ratios: 2+6+7=15Divide perimeter by ratio total, to figure out how big the scale of the triangle is: 105/15=7Multiply each separate figure in the ratio by the scale factor (7): 2x7 : 6x7 : 7x714 : ...

Answered by Megan H. • Maths tutor

3956 Views