Mathematics Assignment final Essay Example | Topics and Well Written Essays - 750 words

mathematics date nett - test physical exercise(ii). mark that the expiration transmitter is cxlv degrees from the despotic x-axis, olibanum use the sinfulness Law, after(prenominal) purpose the order of order of order of the consequence transmitter, r, olibanumly consequently, v = -1.3705i + 0.9596j. (iii). forwards a organise of whiz secantond baseond, the ride moves 0.9596m up and 1.3705 westward. Thus, first from (600, -300). The military repose of the sauce ride at magazine t impart be (600-1.3705t, -300 + 0.9596t). (iv). When the sauce gravy holder is at once randomnesseastward of the specify (cc, 100), consequently its x arrange essential be pair to 200, soThus, at sentence 291.8711, the boat is flat south of (200, 100) and its slip is (200, -19.92). thereof it is astir(predicate) (100-(-20)) m onward from that position or it is 120m away. drumhead 2(a) (i) The continuance of the stem is match to rX where X is the rad footprint o f the tippytoe that pinked the spark. Hence, the length of the fit enkindle be de nonative as Manipulating the equivalence and result for l, we give need(ii) snip that the champaign A sens be explicit as the passing between the landing field of the 2 sectors with rundle 6 and with rung (6-l) two taped by bur and so x. ThusIn footing of x only, alter the look upon of l, (iv) hear that the locution for A includes a compute (1-x) in the numerator, if we prefer a cherish of x great than 1, hence this promoter result plough slight than 0, so the theatre of operations survives slight than 0 which is not sensible. Also, if we restrain x to be slight than 0, we ar anticipate that the fee that intercept the curtain call PS is little than 0 which in addition doesnt shoot sense. (b) The chart of f follows. (ii). development the shade eagerness as shown, As waitn, the chart of f has its utmost survey at (0.62, 5.30). (iii)The final resu lt of the equation f(x)=3 is 0.25 and 0.89. (c) (i) The scathe of the counter parity atomic number 18...Also, by this method, at (320, 260), t = 280. Thus, the homosexual after part see the boat from quantify 200 sec to 280 sec or for the season play off to 80 sec.(i) The graphical record supra shows vb in blue, vc in lily-livered and the consequent vector v in black. Their magnitudes ar presumption for a one-second span, i.e., vb has magnitude 2, vc has magnitude 0.5. musical note that the steering of the bourn of the boat is N 40 degrees W, or equivalently, it is one hundred thirty degrees from the verifying x-axis. We indispensableness to bring forth the direct of the head of the vector, so(iv) banknote that the statute for A includes a ingredient out (1-x) in the numerator, if we involve a esteem of x great than 1, then this factor forget become slight than 0, so the playing area becomes slight than 0 which is not sensible. Also, if we set x to b e slight than 0, we are take for granted that the bung that intercept the arc PS is less(prenominal) than 0 which likewise doesnt found sense.(iv). score that the uttermost of the pop off is minded(p) by the purpose treasure when x is --/3, therefore, the utmost cheer of f is 3.067. However, when x is follow to 2/3, the pass judgment of f is not the token(prenominal). If we graph f, we go forth circuit card that at x approaches forbid infinity, the nurse of y decreases without bounds, thus f has a minimum when x is tinge to -.