Search our library of A Level questions

Top answers

All subjects

A Level

Find the gradient at the point (0, ln 2) on the curve with equation e^2y = 5 − e^−x . [4]

Figure out what skills are being tested: implicit differentiation and exponentials and logarithms.e^2y= 5 - e^-x2e^2y(dy/dx) = e^-x(dy/dx) = e^-x/ 2e

Answered by Theodore C. • Maths tutor

4158 Views

Calculate the resistance of a uniform wire of diameter 0.5mm, length 2m and resistivity 1.7x10^-8Ωm.

R=ρ L/AR= (1.7*10^-8 2)/(0.0005^2π/4)R=0.173Ω

Answered by Heather W. • Physics tutor

2385 Views

Explain what is meant when it is said that there are inefficiencies in the production of goods and the allocation of resources.

The economy achieves optimal allocation of resources when productive and allocative efficiency are attained: · Productive efficiency occurs when products are made using the least poss...

Answered by Blanca S. • Economics tutor

6072 Views

Why is the demand curve downwards sloping?

The demand curve slopes downwards due to the idea of diminishing marginal utility. This is the idea that the consumer receives less additional utility for each extra unit of the good consumed.The substitu...

Answered by Joanna B. • Economics tutor

3598 Views

Find dy/dx when x+2y+3y^2= 2x^2+1

To solve this question we can use implicit differentiation. We can write:d/dx(x+2y+3y^2)=d/dx(2x^2+1).When differentiating something in terms of y with respect to x we can use the chain rule, this allows ...

Answered by Adam G. • Maths tutor

3707 Views