Instructions to students : All questions are compulsory.
Dictionaries are not permitted.
TASK: L100 Economics Assignment
Let f (t) = Aeat. Suppose that f (0) = 4500 and f (4) = 6000.
(a) Find the value of A and a (correct to 2 decimal places).
(b)Deduce the value of f (10) (correct to 2 decimal places).
Using the product rule, quotient rule or chain rule, diﬀerentiate each of the following functions
a) y = 2x4 ln x
b) y = ln(2x2 + 3)
Question 3: L100 Economics Assignment-City, University of London
Find and classify the stationary points of the function f (x) = x2 + 3x + 7.
The cost C of making Q goods is given by
Find the quantity Q that minimizes the cost C.
Consider the system of linear equations
a)Write this system in matrix form Ax = b.
b)Compute the determinant |A|.
c)Compute the inverse matrix A−1.
d)Use (c) to solve this system of linear equations.