Find the general solution: 9??′′ + 12??′ + 4?? = 0.
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#5: Find the general solution: 9??′′ + 12??′ + 4?? = 0.
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- A miner in the underground tunnel walks 59 m due East, 115 m due South and 83 m due West. What was the total distance covered by the miner?A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks x- 110 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is 0 = 31.2°. How wide is the river? y =Vector A has components Ax=−8.20 and Ay=11.7 . What is the magnitude A of this vector? ?=? Determine the angle θ in degrees between the calculated vector and the +x‑axis, measured counterclockwise from the +x-axis. ?=?
- Given: A: A₂ = 43.4, Ay = 35.4 B: (B= 16.3 OB = 39.7° (a) Calculate the x-components and y-components of B. B₁ = 9. By= (b) Calculate the length and direction of Ã. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 9- 0A= (c) Calculate the components of the vector sum of A + B = Ć: CT= 9. 0c= 9. Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= 9- 0 9.Help with this problemA Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in the figure below, where A = 4.20 km and 0 10c = 19⁰. 0 + D = ? km D = y + A + B + C + D = 0 C e= ? 7.5⁰ A = 4.20 km C = 3.02 km 19⁰ A X km X ° west of south B 16° W ZA N He then correctly calculates the length in kilometers and orientation in degrees west of south of the fourth side D. What is his result in kilometers and degrees west of south? D = S X B = 2.48 km E
- Problem 3: Walking around Three players on a reality TV show are brought to the center of a large, flat field. Each is given a meter stick, a compass, a calculator, a shovel, and the following 3 displacements in order: A: 72.4 m, 32° east of north, B: 57.3 m, 36° south of west, C: 17.8 m due south. y (th) 17,8m C 32.0 57.3 m B 36.0 A 724 m The three displacements lead to the point in the field where the keys to a new Porsche are buried. Two of the players take the brown path, following the three displacements in order. However, the winner calculates the net displacement of all three vectors together (vector R) and follows the blue path, getting there faster than the other two contestents. For each calculation in the following questions, keep at least 2 decimal places for each value. (east)A map suggests that Atlanta is 730 miles in a direction 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction 21.0° west of north from Atlanta. The figure below shows the location of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago. magnitude 334.15 direction 52.27 Chicago Dallas 560 mi 730 mi X mi Xnorth of east of Dallas 5.00 21.0° AtlantaVector A⃗ has a magnitude of 9.30 m and is pointing in a direction of 25.0 degrees counterclockwise from the positive x axis. Vector B⃗ has a magnitude of 9.70 m and is pointing in a direction of 140. degrees counterclockwise from the positive x axis. What is A⃗ +B⃗ ? Magnitude: Direction (specify as an angle measured counterclockwise from the positive x axis):
- 7. A man walks 45.1332 m directed 178.5005 degrees from the positive x-axis, then he walks 21.1803 m directed 348.5020 degrees from the positive x-axis, then finally he walks 21.4671 m directed 67.5570 degrees from the positive x-axis. What is the reference angle in degrees of the man with respect to his starting point? Express your answers accurate to four decimal places. Enter only the numerical valueQ7. Vector B is 5 cm long and vector Å is 4 cm long. Find the angle between these two vectors when Jä+#|-|ä-B| =3.1. ::.. , get the sum of unit vector of R= A+B R = Ã+ B R = Ả- B %3D %3D and the difference of R= A- B A= 5.5m/s, 20°N of E B 13.5 m/s, 67° S of E %3D