Knowledge/UnderstandingMultiple Choice:1. Determine a b given thatā = (2, -7) and b = (-3,6)a) -36b) -482. 3(2-3)-2(-5) -4v simplified is:a) 16u-15b) 4u-3v3. The function whose graph has a slant (oblique) asymptote is:6x2a) y=x3+5xb) y=x4-8x+9x4+54. The derivative of y = sin(7x-4) is:a) 7cos(7x-4)b) -7cos(7x-4)5. The conjugate of 2√√7 - √√3 is:a) √3-2√7b) -2√√7+ √√3c) 48d) 36c)-3-6vd) 16-11c) y =x4-2x3+x²-1d) b and cc) cos(7x-4)d) (7x-4)cos(7x-4)c) √7 + √36. In R³, the standard basis (unit) vector, & can be expressed in component form as:a) (1, 0, 0)b) (0, 1, 0)c) (0, 0, 1)7. Evaluate the following limits: lim√√4+ √√25+xd) 2√√7+ √√3d) (1, 1, 1)a) 2+√√5x-0b) 3c) ±3d) 7b) a × b=b× āc) a⋅ b = bad) a − b = − b + a8. The incorrect vector property is:a) a + b = b + ã9. If a vector is described as an airplane flying North at 400km/h, then the opposite vector can be describedas:a) An airplane flying North at -400km/hc) An airplane flying South at 800km/hb) An airplane flying South at 400km/hd) Both b and c10. For u and v, if the sign of u vis negative, then the angle between the tail to tail vectors will be:a)0 13. Find the torque produced by a cyclist exerting a force of F = [45, 90, 130]N on the shaft- pedald = [12, 17, 14] cm long.a) (-950, 930, -315)b) 3890c) 1987414. Given a = [3,−1,4]& c = [−2, 6, t], find t so that a and c are perpendicular.a) 4b) -3c) -4d) 1866625d) 315. Given = [-12, 6, k]&v = [4,-2, 4], find k so that u and v are parallel.a) 4b) -3c) 6d) -1216. An object moves along a straight line in such a way that its position is s(t) = −5t³ + 17t², in which trepresents the time in seconds. What is the object's acceleration at 2.7 seconds?a) -47b) -17.5517. Find the unit vector of a = [-3, -7,4].c) 17d) -81a) -3, -7,4]b) -3,-7,4]4d)[√74 74 √]18. Derive y = -2(3-7)a) -21n3(3-7x)b) -14ln7(3-7x)c) 7ln2(3-7x)d) 14ln3(3-7x)

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