QUESTION 23 If f(x, y) = x sin(xy?), compute fу (п. 1). ОА. - ОВ. -8 ос. -2 OD" - ОЕ. — бл
Question 13 Which alkene is the least reactive in acid-catalyzed hydration? ОВ Ос ОА OD
Which of the following structure(s) is/are aromatic? А) B) C) D) E) ОА ОВ Ос OD ОЕ
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
Establish the identity 1 - cos 0 sin 0 + sin 0 1 - cos 0 = 2 csc 0. Which of the following shows the key steps in establishing the identity? 1 - cos e sin 0 ОА. + sin e 1 cos e 1 - cos e B + sin e 1 - cos 0 sin e (1 - cos 0)2 + sine 2 = 2 csc 6 sin 0(1 - cos ) cOS (1 - cos 02...
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...
Simplify: sin cos -1x) ОА. х OB. 11- x2 Oc. 1 -x2 OD. 1 х O E. None of these
ecos (20) cos e Establish the identity cos + cos (30) sin 0+ sin (30) cot (20) Choose the correct sequence of steps to establish the identity cos 0 + cos (30) 2 cos (20) cos (20) OA sin 0+ sin (30) cot (20) 2 cos (20) sin (20) B. cos 0 + cos (30) sin 0 + sin (30) = 2 sin (20) cos e = cot (20) Ос. = cos 0 + cos (30) 2 sin cos (20)...
The expression 1 + cos(20) sin(20) where 0+ m2 ,ne I, is equivalent to the expression A cote B. tan a C. 1+cot(20) D. 1+tan(20) ОА B с OD The values of 8 that satisfy the equation sin(28) = sin 8, where 0 s e< 27, are 57 A. 0=0,1 c. 0=0,... 3 T 377 47 B. = 0 = 2' 2 3 D. O=0,21 17, Ο Α OB OC OD
Establish the identity sin 20(1+cot ?0) = 1 Which of the following shows the key steps in establishing the identity? 1 sin 20 ОА. sin ?е(1 + cot?e) = sin 20 tan 20= sin 20- cot20 sin 20 O B. sin 20(1 + cot 20) = sin 20+ sin 20 cot 20= sin 20+ cos20= 1 Ос. sin 20(1+ cot?e) = cos 20+ cos 20 sin de + cos20 = 1 sin e cos 20 D. 1 sin 20 sin...