Question 5 If x2 + xy + y3 = 0, find dy/dx Not yet answered Marked out of 1.00 Select one: Flag question O a. 41- T+342 Ob. 2cty O C. 14372 -21 r+3y2 O e. 2-ty x+3y2-1 Question 6 If tanxy = > then dy = Not yet answered Marked out of 1.00 Select one: Flag question O a. 1-ytan(zy) sec(ry) stan (ry)sec(ry) O b. sec (ry)-y O c. cos? (xy) O d. cost(zy) O e. cost(zy) -1 Question 7 Let f(x) = x2 + 3. Find lim J( 2 +h) - f(x) Not yet answered h -+0 h Marked out of 1.00 Flag question Select one: O a. 0 O b. 3 O c. 2x+3 O d. 2x O e. 2Question 8 Use Newton's Method to find the root of 2x2 + 5 = e in the interval [3,4]. For the ease of the problem, start with To=3.5 and find ] and 2. Not yet answered Marked out of 1.00 Flag question Select one: O a. X2=3.57 O b. X2=3.47 O c. X2=3.37 O d. X2=3.27 O e. T2=3.17 Question 9 Estimate the area under the graph f (x) = x2 between x = 0 and x = 4 using right sum with two rectangles of equal width. Not yet answered Marked out of 1.00 Select one: P Flag question O a. 40 O b. 38.75 O c. 8 O d. 20 O e. 31.856 Question 10 Use the formula sin( A + B) to find sin(3t) in terms of sin(t). Not yet answered Marked out of 1.00 P Flag question Select one: O a. 3sin(t)cos(t) O b. 2sin(t) + sin2(t) O c. sin2(t) + 3sin(t) O d. 6sin(t)cos(t) O e. -4sin'(t) + 3sin(t)Find the derivative of g(x) = (4) 3:3 Question 11 Not yet answered Marked out of 1.00 Select one: Flag question O a. g'(x) = 3x3(4)32-1 O b. g'(x) = 3x3(4)32-1(9x2) O c. g'(x) = (4)323 (9x2) (In4) Od. g'(x) = 3(In4)(64x3) O e. g'(x) = 9x2(In4) Find lim f (x) = sinTy Question 12 tanTy Not yet answered Marked out of 1.00 Flag question Select one: O a. O b. T O c. O d. -1 O e. None of the above. Find the derivative of y = 25 . Question 13 Not yet answered Marked out of 1.00 Select one: Flag question dy (2x-3)secrtanx-2tanz dr (21-3)2 (2x-3)secrtanx-2tanr (27-3)2 O c. 21 - 2secr-(2x-3)tanz (2:1-3)2 O d. dr (2x-3)sec2x-2tanx (21-3)2