Questions

Find the values of x at which the following functions take a local maximum or minimum value (if any): y =-2x^2 +20x y= x^2 - 14x + 3 y = x^ 3 - 12x + 15 y = x^ 3 - 9x^2 + 27x - 27 A firm has a total revenue function : TR(Q) =-20Q -Q^2 and a total cost function: TC(Q) =1/3Q^3 -6Q^2 +29 Q +15 . The firms profit maximizing level of …

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Find the first derivatives, dx /dy of: y = -3x-5 y=x^4/5 y = 4x^1/6 + 3 y =3x^-5 +ax^ 2 y = ax^b+1 + ax^2 y=3/x^2/3 y=3/x^-2/3 What is the slope of the following function y =x^3 -2x^2 +4 at x = 2 x = -4 x = 1/3 Find the price elasticity of demand for each of the following demand functions when P = 4 Q = …

LEARNING OUTCOMES On completion of this subject, students will be able to: Explain the concept of entrepreneurship and how it has evolved. Identify and define entrepreneurial opportunities. BRIEF Prepare a report (850 words) describing your insights from an interview with an entrepreneur. ASSIGNMENT INSTRUCTIONS For this …

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Background This assessment task uses the Longitudinal Survey of ACU Student Health and Wellbeing, a (fictional) cohort study involving a survey administered to students on enrolment with ACU (first year baseline) and selected follow up data (during third year). For this task, you will use what you have learnt from Assessment Task 1A and 1B and w …

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1.Simplify by expandingthebracketsforthefollowing: 2.Factorise the following: 3.Simplifying the following expressions involving exponents: 4.Simplify the following expressions: …

For each of the following find: The y-intercept The roots (if any) of the equation. Sketch the curve (a)y=x2 (b)y=x2+4 (c)y=3x2- 6x- 4 (d)y= -2x2- 8x+24 (e)y=x2+6x+ 9 A firms total Revenue (TR) depends on its level of output (Q). Hence TR = f(Q). If the price of the output is denoted P, then the TR …

Question 1 Short answer questions 10 marks Do not use ILAC, your answer need only include the relevant law and application of the law. Alexander Comb is the owner of Stunning Hairstyles, a hair salon in Surfers Paradise. To increase custom and profits Alexander places the following advertisement in the local weekly community newsletter. HU …