OC userin Statistics·18 Feb 20184. Consider the function f(x) = 4x2 – 22 - 1 (c) [2 marks] Using the intermediate value theorem, prove that f(c) must have a root between 0 and 1.
OC userin Statistics·14 Feb 201816. Let f(x) = 235. Then f'(3) is (a) – 13/196, (b) – 11/98, (c) -2/7, (d) 5/196, (e).–1/49.
OC userin Statistics·10 Feb 20181. (10pts) (a) Find the values of k for which the system -k x + y + k” = 0 = 4 x+2y + (kP+4)2 = k has (i) a unique solution (ii) no solution (iii) infinitely many solutions.
OC userin Statistics·3 Feb 20185. If det 211 212 213 (3a11 +231 021 + 3a11 a31 +011 | a21 422 023) = -3, then det 3a12 + 232 022 + 3012 a32 + 212 ) has the value 231 232 233 3013 + 233 223 + 3013 033 +213) (A) – 3 (B) 3 (C)0 (D) 18 (E) None of the above..
OC userin Statistics·31 Jan 20186. The system of equations 2 + y - 122 = 6 3.r + y - 2z = 0 2.1 + y - 8z = 3 A) Has infinitely many solutions, because the determinant of the coefficient matrix is nonzero. (B) Has a unique solution, because the determinant of the coefficient matrix is nonzero. C) Has a unique solution, because the determinant of the coefficient matrix is zero. D) Has infinitely many solutions, because the determinant of the coefficient matrix is zero. E) None of the above.
OC userin Statistics·31 Jan 20183. Consider the function f(x) = 12 - VX| (a) [2 marks] State the domain of f(x)
OC userin Statistics·31 Jan 20187. SHOW ALL YOUR WORK! Define f(x) X – 2 (a) [1 MARKS] Specify the domain of f.
OC userin Statistics·28 Jan 2018(5) Using the definition of the derivative show that the function 1-2? + 1-4 if : <2 if r>2. is not differentiable at r= 2.
OC userin Statistics·29 Jan 2018(b) Find the point Q on the line L which is closest to the point P in part (a).
OC userin Statistics·26 Jan 20184. An equation of the plane containing the point P(1,-1,2) and perpendicular to the line (x, y, z) = (2-3t, 1+ 5t, 7+t) is (A) 2.0 + y + 72 = 15 (B) 6:- 10y - 22 = 12 (C) 4.2 - 9y - 62 = 1 (D) 92 + 5y - 22 = 0 (E) 3x + 2y - 2= -1
OC userin Statistics·21 Jan 201810. The maximum value attained by the function f(x) = x2 + 2x - 3| on the interval [ -2, 1] is (a) 4 (b) 8 (c) 5 (d) 3 (e) 6
OC userin Statistics·20 Jan 20181 4. If A=1 7 0 05 - 4 0 5 0 , then the eigenvalues of A are -2 / (a) 1,2 and -4. (b) 0,1 and -2. (c) 2,3 and 5. (d) -2,3, and 5. (e) None of above
OC userin Statistics·18 Jan 2018(b) [4 MARKS] Showing your work, use your linearization to approximate 9(0.005). 11