Instructions to students : All questions are compulsory.
Materials:
Dictionaries are not permitted.
Question 1.
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).
Question 2.
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)
Find and classify the stationary points of the function f (x) = x2 + 3x + 7.
Question 4.
The cost C of making Q goods is given by
Instructions to students : All questions are compulsory.
Materials:
Dictionaries are not permitted.
Question 1.
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).
Question 2.
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)
Find and classify the stationary points of the function f (x) = x2 + 3x + 7.
Question 4.
The cost C of making Q goods is given by
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