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- A particle moves along a portion of the parabolic path y? = 4 – x, where x and y are in meter, within the time interval 01 If D= (6.001 - 5.00j) m, B= (-5.00 +6.00j) m, and A (1.001- 10.05) m, find the unknown constants a and b such that aD + bB+A=0. a = -2.31578947 X b = 6.1 XWhich of the following has the most significant figures? A: 124.12 B: 124.10 C: 3.05 x 105 D: 1205 E: 120.5 F: 0.3089 a. A O b. A B D-E-F О с. С ○ d. D O e. A =B Of. A B F4 y, i = 1 y, g. n= 1 x h. 4 i = 1 3. Let x = [2, 1, 4, 8] and y=[1, 3, 6, 2] Calculate the following : 4 b. П х i = 1 i 4 а. Пу i = 1´ i 2 d. П х i = 1 2 i e. log II x С. Пу:х i = 1´ i20. V How many significant figures are in the following numbers? (a) 78.9 + 0.2 (b) 3.788 × 10 (c) 2.46 x 10-6 (d) 0.005 31. Perform the following mathematical operations, and express the result to the correct number of significant figures. 2.526 0.470 80.705 a. 3.1 0.623 0.4326 b. (6.404 X 2.91)/(18.7 – 17.1) c. 6.071 X 10-5- 8.2 x 10-6- 0.521 x 10-4 d. (3.8 X 10-12 + 4.0 × 10-13)/(4 × 1012 + 6.3 × 1013) 9.5 + 4.1 + 2.8 + 3.1755. Find the rate of change in Question 4 from B to A. a) change in y -1 2 1 change in y change in y b) c) change in x -2 change in x change in x d) What did you notice in parts a), b), and c)?+L/2 +L/2 HonIR? Bx dx' HonIR? (х — х") [(x – x')? + R2]3/2 R²[(x – x')² + R²] Equaiton 5.4 Hon! x + L/2 х —L/2 Question 5.4 V(x + L/2)² + R² V(x – L/2)2 + R²] Show that for L » R, Equation 5.4 is equivalent to Equation 5.2. Equation 5.4 expresses the change of magnetic field depending on the distance from the center. Blds Blds B=0 Blds B-dš =| B-dš + | B-dš + | B-dš + B-ds = BL = µolenct path 1 path 2 path 3 path 4 If N is the number of turns in the length L, the total current through the rectangle is NI. Therefore, Ampère's law applied to this path gives Equation 5.2 födi- B.ds = BL = µ,NI =B = HoI = Honl 5.2 where n = N/L is the number of turns per unit length.