Hi i need help answering this question, the question is in image 1 and the values to use for each question are in image.

thank u, appreciate it!!

Swinburne University of Technology MTHlDDBS Faculty of Science1 Engineering and Technology Aviation Mathematics Part A: Short-answer questions {60%] The marks indicated next to each question will be awarded based on a combination of correct nal answers and working. You should start each of questions (1). (2). {3} on a separate page. In each port, simplify your answer by collecting common terms and cancelling common factors where possible. 1. [15 marks] You will be emailed functions f{:r), 9(a), r), and (film). {a} Differentiate rs]. State the rule of differentiation you used. {2+1 marks] {h} Differentiate 9(a). State the rule of differentiation you used. {3+1 marks] (c) Differentiate pfa'}. State the rule of differentiation you used. {3+1 marks] {d} Differentiate qfrc]. State the rule of differentiation you used. {3+1 marks] 2. [13 marks] You will be emailed the equation of a curve written implicitly]r in terms of y and 1' and functions M52}, t}. d {a} Using implicit differentiation, Find all [6 marks] (b) Using logarithmic differentiation, find % [ti marks] (c) Use integration by parts to nd I rft} dt [ii marks] 3. [15 marks] You will he emailed a differential equation in the form E = x} {a} Identi,r the dependent and independent variables [2 marks] {1}} Show that all) is stationary when 1' = [2 marks] [c] Determine for which other values of .1', aft) is stationary]r [2 marks] ((1) Draw a phase diagram for the differential equation [6 marks] (e) Hence, or otherwise, determine the stability,r of each stationary point [3 marks] Question 1(a) f(x) =19x - 12x5 Question 1(b) g(x) = cos(x)In(x) Question 1(c) p(x) = sin(x) x6 Question 1(d) q(x) = sin(x2 + 4x) Question 2(a) 5 = x9 + e3y _ y2 Vx2+8x+8 Question 2(b) h(x) = Vx-8 Question 2(c) r(t) = (t -20)et dx Question 3 dt = 2x(x + 1)(x - 4)