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A drawer contains ten identical yellow socks, eight identical blue socks and four identical pink socks. Amrita picks socks from from the drawer without looking. What is the smallest number of socks she must pick to be sure that she has at least two pairs

(question continued): of matching socks? A) 5 B) 6 C) 8 D) 11 E) 13
Answer: Try applying each number starting from the smallest, you will find that with 6 socks there will always be at least 2 pairs...

Answered by Virginia B. • Maths tutor

4187 Views

Solving harder exponential equations, e.g. 5/[exp(x) + 6exp(-x)] - 1 = 0 . CORE MATHS.

Our example equation is, 5/[exp(x) + 6exp(-x)] - 1 = 0 ,and we wish to solve for x. Note that exp(x) is the same as writing e^xI have chosen this one, because it helps illustrate some general g...

Answered by Matthew S. • Maths tutor

3683 Views

How do I differentiate (cosx)/x^2

Label function: y=(cosx)/x²Recall quotient rule for functions of form h(x)=f(x)/g(x) given by,h'(x)=(f'(x)g(x)-f(x)g'(x))/(g(x))²Split original equation into f(x)=cosx and g(x)=x

Answered by Caelen D. • Maths tutor

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You are given the equation of the line y=x^3+x^2-2x. Find the stationary points of the curve and determine the maximum and minimum points and find where it crosses the x-axis and thus sketch the graph

First differentiate the equation to find the equation of the tangents in terms of x. From this set dy/dx=0 because this is the stationary points, from this use the quadratic equation to find the value of ...

Answered by Oliver H. • Maths tutor

3150 Views