OC userin Statistics·11 Aug 201815. Let 5(2) = arcsin(e). Then s" (14) is (a) -56/27, (b) -100/27, (c) –50/27, (d) 95/27, (e) 115/27.
OC userin Statistics·8 Aug 20188. Suppose that A is a n xm matrix B is a p xq matrix, C is a r x s. Assume that the matrix B2A + BCT is well defined. Which of the following is true? A) n = m =p=q=r=s. B) n = m = p = s and q = r. (C) p = q = n = s and m = r D) q = p = m = r = s. E) None of the above.
OC userin Statistics·7 Aug 201820. Let f denote the function f(x) = (1 + 4x e-92 defined on (0,0). Which answer best describes the location where f takes its global (=absolute) maximum value? (a) x = 5/36, (b) x = 0, (c) x = 4/9, (d) x = 1/9, (e) maximum not attained.
OC userin Statistics·6 Aug 2018a B). rabhas determinant 2, 1. If A has determinant -3, B=( lcd lc d ) 3c 3d ), then the determinant of 2adj (C-1) is 1a + 2a b+ 26 ) B) - 12 C) 12. (D) - E) None of the above.
OC userin Statistics·6 Aug 20185. Consider the matrix 1 1 2 A= 2 b 3 11 a/ . Which of the following is true? (a) rank(A)=1 if b = 2 and for every value of a (b) rank(A)=2 if b=2 and for every value of a #2 (c) rank(A)=1 if b=1 and a = 2 (d) rank(A)=1 if b = 2 and a = 2 (e) None of the above
OC userin Statistics·1 Aug 201824. Let y = f(x) be defined by the equation ya +36x + 72 In(y) = 37 near x = 1, y = 1. The value of f'(1) is (a) -9, (b) -7, (c) -11, (d) -4, (e) –10.
OC userin Statistics·2 Aug 20188. Suppose that A is a nxm matrix B is a pxq matrix, C is a r X s. Assume that the matrix B2A + BC is well defined. Which of the following is true? A) n = m = p =q=r=s. B) n = m = p = s and q = r. (C) p = q = n=r and m = s D) q = p = m = r = s. E) None of the above.
OC userin Statistics·30 Jul 2018(2) Find the equations of both lines through the point (-2,-1) that are tangent to the parabola given by y=r- 2r. s. ter
OC userin Statistics·30 Jul 2018(1) Find an equation of the tangent line to the curve x - xy + 2y3 = -2 at the point (2,1). 13 12
OC userin Statistics·29 Jul 20182. Let A = 1 ). Consider the following elementary matrices, Ej =( (10) (21) com lo-7) 14 /10 101 Loi ), E3 = 1 and E4 =( (10) Which one of the following is true? A) A = EE3E2E4 B) A = EE2E3 C) A = E3E, E2 D) A = E4E3E2E E) None of the above.
OC userin Statistics·23 Jul 20183 2 5. Let A =( Let A -2 7). W ). Which one of the following is true? (I is the 2 x 2 identity matrix) 1 A) X= 4 is an eigenvalue of A and is a corresponding eigenvector B) A + 31 is diagonalizable C) = 5 is an eigenvalue of A and is a corresponding eigenvector D) A is diagonalizable E) None of the above.
OC userin Statistics·24 Jul 20184. Consider the function f(x) = 4x3 - 22 - 1 (b) [2 marks] On what part of the real numbers is f(2) continuous?
OC userin Statistics·23 Jul 20182. Let A = 1 21 . Consider the following elementary matrices, E = (1 0 0 -7 (1 ) and E3 = ( 6 1 ), E = ( ). Which one of the following is true? A) A = E1 E3 E, E4 B) A = E1 E2 E3 C) A = E3EE2 D) A = E2E E E) None of the above.