Top answers

Given that y=(sin4x)(sec3x), use the product rule to find dy/dx

First, recall the Product rule: f(x)=g(x)*h(x), f'(x)=h(x)*g'(x)+h'(x)*g(x)This reveals the next step, to find the derivatives of our two subsidiary functions(g and h) d/dx * (sin4x) = 4cos(4x) , and d/dx (s...
EF
Answered by Edward F. • Maths tutor
4553 Views

A box contains 7 caramel doughnuts. They have masses of 56 g, 67 g, 45 g, 56 g, 58 g, 49 g and 50 g. Find the median, mean and mode values of these masses. Bonus: What mass of doughnut could be added to the box to make the mean mass = 61 g.

Median: Order the values from lowest to highest: 45, 49, 50, 56, 56, 58, 67. Pick the middle value. Answer = 56 g.Mode: The most common value. Answer = 56 g.Mean: Add all the values up, then divide the resul...
KG
Answered by Kate G. • Maths tutor
3088 Views

√5( √8 +√18) can be written in the form a√10 where a is an integer.

First, I would take into account the important parts of the question. I'm looking for an answer in the form of "a√10, where a is an integer". I would explain if not known that an integer is just a ...
GW
Answered by George W. • Maths tutor
5627 Views

There are only red , blue and purple counters in a bag. The ratio of the number of red counters to the number of blue counters is 3 : 17. If a counter is taken randomly the probability that it is purple is 0.2 Work out the probability for it to be red.

I would first take into account all the variables - there are red, blue and purple counters, we know the ratio of red to blue and we know the probability of purple is 0.2. As I know the probability that purp...
GW
Answered by George W. • Maths tutor
18093 Views

What is the significance of the number e (Euler's number)?

The irrational number e is one of the most important numbers in mathematics. The value of it is 2.718... but since it is irrational that is e to 4 significant figure, only. How can we calculate this number? ...
SA
Answered by Soleiman A. • Maths tutor
5877 Views