c) Calculate the integration y+1 dydx

d²y Let 4 - 5y = 0, suppose the solution has the form y = e1x. - dx2 dx Find the Characteristic Equation of å and find the roots of the equation.

Region 1 is y> 0 with µ₁ = µ₁, while region 2 is y < 0 with µ₂ = 12μο. If B₂ = 1.4ax +0.6a, - 2a₂ Wb/m², then find H₁ and B₁ 2 (Hint: Boundary conditions)

If yexy = sin x find dy/dx and d2y/dx2 at (0, 0).

1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Suppose you first walk A = 12 m in a direction 20° west of north and then B= 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. Keep all answers to 4 significant figures.

The small washer is sliding down the cord OA. When it is at the midpoint, its speed is 29 m/s and its acceleration is 8 m/s². (Figure 1) Part A Express the velocity of the washer at this point in terms of its cylindrical components. Express your answers in meters per second to three significant figures separated by commas. ► View Available Hint(s) Ur, Ue. Uz = Submit || ΑΣΦ Part B Complete previous part(s) ↓↑ vec ? m/s

If =- 3;-63+ 1kand č= - 33 - 23- 3g, what is the magnitude of č x B (give your answer to the nearest 0.1)?

Enplain the equation Fz-VU.

1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Suppose you first walk A = 12 m in a direction 20° west of north and then B= 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. Keep all answers to 4 significant figures.

ex1