Question

Question 1 Not yet answered Marked out of 1.00 Flag question Solve the following pair of simultaneous equations. -3.- 5y = -13, 5x + 4y = 26. Give your answers exactly, as integers or single fractions. The solution is: x = y=

Answer 1

0 -3x - 5y = -13)*4 (5x + 4y = 26)*5 =) - 12x -zby =-52 254 +20g - 130 3x = 78 -316) - 5y = -13 1. -5y=5 y=-D 270469 @ bus De First Find horizontal component 2.50 by EFx=0 G8 C05(45) + 35 C05 (150) + 51605(270)#fzo 43.133 + (-30-31) Fe=0 -) 12.830= Fx Bericcico EF 30 et 61 Sin (45) + 35 sin 150 +51 Sin 2B =Fy Gta 43.133717.5+ (-51) = Fy = 9.633N 272_ UPUXOWN

Resultant force = /fxtry? -) ).9.63*+ 12-82" ») 7 92.79+1649685 2). V 257iyY direction = .16.04 Newtons Ostan Fy e t + x Oc tan ( 9.633) De tan' (0-7508) (o= 36.89] with the x aseis A $40 850) a 552 angle A+B+C = 180 40+55+=180 C = 850 from sine lule os entre link [Q= 7:37]

© a=- Scalar multiplication to 4xca). st). •4f=;'); © Vis 36kmine = 36x1000 lo misec 3600 12= 65 x1000 18.055m/sec 3600's - ã» Vzvi - 18-055 - 10. =) 8-055 » 1.00 7 f(x)= 3x + 4x + 6x?-6 To find Stationary Points if (x)=0 fexbo 3x3+ 12227012'32 = 0 On zolving this we get X=0 or x=-2,-? at first station any point [e=0 -

{"(x) >ou use +12 nary point "CX,) 20 f"(x) = oyn a nos ulo) +14 find false) {"(ve) - 9x + 24 +12 12 Substitute Stanary Point {"(x) = 9(0)+2410) +12) = 12 fcx, z>o Sol at x=0 as persisa na minimum ② second Poinki se=- 2 8 f"(2)= 9x²+2443412 os 9(4)+ 24 (-2) +12 = 38+12=48 f"(x1) = 0 (ol not may not min Point of inflection

g) To find and condes Cove fiftcas area under area =) 3x tt | (1)-(2744.-> »K-14_1 +27+9+3) » 24, Squids 9[:[]-[:] multiply them to get equations -se- y = 5 > equation ? - X +34 = -3 - equalion >

(l) ke-768) V=-qt8i W = -6-2; (V-W) = (-9481)-66-21) 1 : 2) (49+6) +(8+2); -> -3+101 , U. (0-w? , :>- 7+81) -(3+101) =>(-7 +3 ) +(8-10); => -4+6-2); -7-4-21 / Waswer en