Top answers

integrate (2x^4 - 4/sqrt(x) + 3)dx

simplify: 2x^4 - 4x^(-1/2) + 3integrate each term: (2/5)x^5 - 8x^(-1/2) + 3x + c
BY
Answered by Benjamin Y. • Maths tutor
3632 Views

(a) Find the differential of the the function, y = ln(sin(x)) in its simplest form and (b) find the stationary point of the curve in the range 0 < x < 4.

a)For any function y = f(g(x)) the differential will take the form dy/dx = g'(x)f'(g(x)).(This is because of the chain rule,y = f(u), u = g(x)dy/du = f'(u), du/dx = g'(x)hence dy/dx = dy/du * du/dx = g'(x)f'...
DB
Answered by David B. • Maths tutor
5748 Views

Can you help me understand how Arithmetic sequences work?

Let us look at an example first, imagine there is the following sequence:2, 4, 6, 8, 9, 10...Let the difference be constant d, in this case d = 2If I were to ask what would be the value of the 10th number in...
Answered by • Maths tutor
3582 Views

Find the equation of the tangent to the curve y=x^2+5x+2 at the point where x=5

Step 1: Differentiate the equation of the curve (this gives a function for the gradient of the curve at a specific point)Step 2: Substitute x value into the differential of the curve to obtain gradient (m)St...
MR
Answered by Muhammed R. • Maths tutor
4845 Views

A block of temperature H=80ºC sits in a room of constant temperature T=20ºC at time t=0. At time t=12, the block has temperature H=50ºC. The rate of change of temperature of the block (dH/dt) is proportional to the temperature difference of the block ...

Question:A block of temperature H=80ºC sits in a room of constant temperature T=20ºC at time t=0. At time t=12, the block has temperature H=50ºC. The rate of change of temperature of the block (dH/dt) is pro...
CB
Answered by Connie B. • Maths tutor
3648 Views