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Given that y=(4x+1)^3*sin(2x) , find dy/dx

y=(4x+1)^3*sin(2x) - this is a product of two functions of x. It can be rewritten as y = u(x)*v(x) ; where u(x) = (4x+1)^3 and v(x) = sin(2x)

Using the product rule: dy/dx = u'(x)*v(x) + v'(x)*u(...

Answered by Chris D. • Maths tutor

3213 Views

A bag contains red discs, white discs and blue discs. 1/6 of the discs are red, 1/4 of the discs are blue. What is the smallest possible number of white discs?

We are given the fractions representing the number of discs in the bag. When comparing fractions, we should first find a common denomenator for them. The smallest common denomenator for 6 and 4 is 12 (4

Answered by Grimonia C. • Maths tutor

6166 Views

Solve for x and y, with x and y satisfying the equations 3x+2y=36and 5x+4y=64

x=8 y=6

Answered by Lucy S. • Maths tutor

3513 Views

There are 20 sweets in a bag, 5 are white and 15 are black. What is the probability that a sweet chosen at random will be white?

5 out of the 20 sweets in the bag are white. This could be written as 5/20. This is the probability. However, this can be simplified to 1/4 'one quarter' or 0.25.

Answered by Toby D. • Maths tutor

3979 Views

Integrate the function f(x)=lnx

This question must be attempted by integration by parts since it cannot be integrated outright and we can thus change the integral to 1 times lnx. We can then use the formula for integration by parts of I...

Answered by Srikant S. • Maths tutor

3561 Views