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Find the stationary points of y = 4(x^2 - 4)^3

This question challenges the student's ability to use the chain rule and to understand what a stationary point is. Having recognised that the chain rule is required, the first step is to use the substitution...
TL
Answered by Tom L. • Maths tutor
4153 Views

Calculate the integral of ln(x)

Calculating the integral of ln(x) is harder than it might look and must be done using integration by parts, where the two parts are 1 and ln(x). The integration by parts formula is as follows integral{udv) =...
CR
Answered by Callum R. • Maths tutor
3666 Views

The perimeter of a right-angled triangle is 81 cm. The lengths of its sides are in the ratio 2 : 3 : 4. Work out the area of the triangle.

Answer is 243cm 2 . 2+3+4 = 981/9 = 9Non-hypotenuse sides of triangle are therefore length (9x2=18) and (9x3=27)Area of triangle is (18x27)/2 = 243
CA
Answered by Casey A. • Maths tutor
3976 Views

How do you solve algebraic equations?

The aim of solving an algebraic equation (such as x 2 =4(x-3) 2 ) is to find the values of x which make the equation correct. There are easy steps to follow for every question which can help you find the ans...
MB
Answered by Mercedes B. • Maths tutor
4105 Views

Solve the equation 6x^2 + 17x - 39 = 0

Using the quadratic equation with a = 6, b = 17 and c = -39, x is found to be 1.5 or -4.33
SE
Answered by Sian E. • Maths tutor
4642 Views