1. to find the answer, we can go with the formula S= n(1+n/2–1/2)
=>S= n(n/2+1/2)
=>S= n(n+1)/2
hence, the sum of numbers from 1 to 1000 is =1000*1001/2=500500.
2. infinity is the right answer. The sequence is going with multiplication of 3 with the number. If we proceed with the same pattern, It will goes with infinity. Hence last option is the correct.
4. option 1 is correct
Question 1 1I s-1+2+3 +4+... +1000-7 Question 2 1.8 s-1+3+9+27+81+...-? o 121 O None of the...
S-1+2+3+4+...+1000? S-1+3+9+27+81+...-? S-25/1.08+25/1.08 2+25/1.08A3+...+25/1.08 20-? S-1+4+8+16+32+64+...+2A100-? S-30/1.07 2+30/1.07A3+.. +30/1.07A40-? S-30/1.07 2+30/1.07A3+30/1.07A4+...-1? 142 1+k None of the answers are correct 3t and kg TdE None of the answers are correct e-g
9.0 cm (2) None of the above (3) PROBLEM 4 HINT-start by reviewing 1.8 Components of Vectors Vector A has a y-component of +9.60 m and makes an angle of 32.0 degrees counterclockwise from the y-axis. What is the x-component? 6.00 m (1) 6.00 m (2) None of the above (3) PROBLEM 5 You drive 3.25 km north, then 2.20 km west, then 1.50 km south. Use components to calculate the magnitude and direction of the resultant. HINT start by...
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15.500) o 203 (13/64 DR) THRU 4 HOLES 50 2,1 1/2 x11/2 60 1 1/2 3.000) +.328 121/64 DRI THRU-1 HOLE R 1,2 CUTOUT (P2 ONLY FILET WELD 2-PLACES , ? ,281 DRILL ?9/32 DR) T,lin, RECT. TUBING 3 x4 x 1/4 WALL (2 MATL STL 2 HOLES-G1 ONLY (4.0001 aTY ITEM 1-INCL. 2 HORIZONTAL HOLES ITEM 1-INCL 4 VERTICAL HOLES & CUTOUT
Question 27 Graph the solution set of the system. y2r? y<x+3 o 5+ 4 1 1 4 5 T2 1+ A++ -54 2 1 2 3 15 -1 -2+ =3 HE+ - + O S 4 3 2+ 1+ -54 + 5 Re 2 2 4 * ů o . 3 s 3 2 3 4 ET? T None of these
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
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The code should be in MATLAB. A detailed explanation
would help alot.
QUESTION 1 tet M-11 2 3 -1 4 8 121 and N-12 4 3 049 131 Use relational operators to create the following vectors: a is the vector consisting of all negative components of M b is the vector consisting of all components of N that are (larger than 3 and smalier than 10) or larger than 11 cis the vector consisting of 3's where the components of...
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