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Consider the following production function: Q = K^a + KL^(b+2), find the marginal product of capital.

The marginal product of capital (MPK) is defined as the additional unit of output, all things being equal, that comes with an additional unit of capital used. The equation for MPK is: change in output/change...
ZF
Answered by Zachary F. • Economics tutor
5022 Views

In the case of vectors, how do I find the shortest distance between a point and a line?

The key word in the question is 'shortest'. The shortest distance from a point to a line is always the perpendicular distance. If we calculate the appropriate angles and lengths/distances, we can use trigono...
SK
Answered by Saskia K. • Maths tutor
6774 Views

Solve the simultaneous equations 3x+2y=13 and 4x+y=14

Multiply the second equation by 2 so that the coefficients of y are equal.(4x+y=14) x2 = (8x+2y=28)Now subtract the first equation from 8x+2y=28.(8x+2y=28) - (3x+2y=13)and you get 5x=15.Divide both sides by ...
NB
Answered by Natalie B. • Maths tutor
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A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.

In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can convert t...
GW
Answered by Gemma W. • Maths tutor
3727 Views

Binomial expansion of (1+4x)^5 up to x^2

This question can be treated like a normal binomial expansion question which is commonly seen at A level. The standard binomial expansion is (1+x) n = 1 + nx + (n(n-1)(x 2 ))/2! where 2! is 2 factorialSo in ...
KI
Answered by Katherine I. • Maths tutor
5402 Views