Test 2 0S N-Z x 3 MTH10012 Test 2 Online Gamma X Homework Help - Q&A from Onl x C Home | Chegg.com X + X - -> C @ File | C:/Users/Admin/Downloads/MTH10012%20Test%202%20Online%20Gamma%2051%202022.pdf E MTH10012 Test 2 Online Gamma S1 2022.pdf 4 / 8 100% + Page 4 of 8 Q1. Given that 5 cos(my) + x3y - 3 = 0, find the value of the derivative , a ew at the point P(2,1). (11 marks) Q2. Consider the function f(x) = In(6x - 5) . Write the Taylor expansion for f (x) about x = 2 , including terms up to order x3. (11 marks) Q3. Evaluate the following definite integral, using integration by parts. 9x sin (4x) dx (10 marks) Q4. Express the following function in simplest partial fractions form: -10 (3-x) (x+4) 2 (10 marks) Q5. Solve the differential equation cosec(9x) - = 7cos(5x) . (8 marks) END OF QUESTIONS. FOUR PAGES OF FORMULAE FOLLOW. 55.F 6:30 PM Partly sunny 5/17/2022 2 3