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 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 EA 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° Atlanta
- Vector 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):Given: A: A = -16.7, A, = 37 B: Br= -0.4, By = -23.8 (a) Calculate the length and direction of A. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 0 A = (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = OB (c) Calculate the components of the vector sum of A + B = C: CT= F 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= Oc 0 = 0Question 1 What is the angle between the two vectors A = 32 + 4y and B = -82 +6ŷ? 90 degrees O0 degrees O 60 degrees 45 degrees Question 2
- 5. A hiker travels from camp through the forest. The hiker follows 3 trails and becomes lost. The first is 180 m due west. The second one is 210 m in a direction of 35.00 east of south. The third one is 280 m at 30.0° north of east. What are A) the distance and B) direction the hiker need to walk to return to the camp?In the diagram, the side adjacent to the unknown angle 0 has a length of 3.8 mm and the hypotenuse has a length of r = 9.8 mm. Calculate the angle in degrees to 2 dec. points. +y В +X y А Your Answer:Draw direction vectors in unit cells for the following cubic directions: a) [1 -2 3] b) [1 0 -3]