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Apply these equations:
is uminum ahut 4 n is 68 MPa and the angle of twist must not exceed 1°/m. Select the required diameter of the shaft to the nearest 5 mm.
The parametric equations where 0 tl describe the line segment that joins the points P1(x1, y and P2(x2, y2) Use a graphing device to draw the triangle with vertices A(1, 1), B(3, 4), C(1,7). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma- separated list of equations. Let x and y be in terms of t.) A to B B to C A to C
The parametric equations where 0 tl describe the line...
Solve the following system of equations analytically. y = (x + 4; y = 8 – x
Given the system of equations: +y+z= -6 y - 3x = 8 2x + y + 5z = – 19 (a) Determine the type of system: O dependent inconsistent (b) If your answer is dependent, find the complete solution. Write x, y, and z as functions of t, where z = t. If your answer is inconsistent, write DNE in the box for all three variables. 2= y = 2 =
8) In the system of equations below, x and y are variables and t is a parameter: a) Find all the values of t such that the system has a unique solution. b) Solve for x and y using the inverse matrix method.
Velocity profiles in laminar boundary layers often are approximated by the equations Linear: -- U 8 lu Sin_ Sinusoidal: ร์".)-GT LU Parabolic Compare the shapes of these velocity profiles by plotting y/5 (on the ordinate) versus ulU (on the abscissa). Problem 2: Compute 6 /6 for the three profiles from problem 1 Problem 3: Compute θ/6 for the three profiles from problem 1.
Velocity profiles in laminar boundary layers often are approximated by the equations Linear: -- U 8 lu...
Systems of equations: solve using elimination method X+2y-z = -6 3x-y+z = 8 4x-y-2z = 0
differential equations initial value
8) (ex,a -ax)Dx +&* YD, DO Y(0)=2
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
8. Compare the expression derived for translational energy for a particle confined to a 2D plane, Em..., to one confined to a 1D line, E, or E. Does there appear to be a general relationship between the two solutions? If so, specifically identify how they are related. Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V.,„, (x,y)= \sin ",7 sin ", Ty E. (x,y) =...