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A: Find your answer below
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A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…
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A: The integration of the integral is 1/[x sqrt(x2+4)].
Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)
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A: answer is in next step
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A: A detailed solution is given below
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Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is
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Q: Find the least possible cost of painting the cement block.
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Q: : Write step by step solutions and justify your answers. 1).- ! Solve the following Initial Value…
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- Using support, a long taut string is fixed along the positive x-axis. At time t = 0, the support is removed and gravity is permitted to act on the string. Assuming that the end x = 0 is fixed, the initial, boundary-value problem describing displacements y(x, t) of points in the string is: ∂^2?/∂?^2 = ?^2*∂^2?/∂?^2 − ?, ? > 0, ? > 0 ?(0, ?) = 0, ? > 0 ?(?, 0) = 0, ? > 0 ??(?,0)/dt = 0,? > 0 Where g is gravity and is equal to 9.81. Use Laplace transforms to solve this problem.Q1. What is the value of y(x,t) at x=c and t=0.5? Submit your answer to one decimal place.The number of defects on the front side (X) of a wooden panel and the number of defectsa on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy(x,y)=c(x+y), x= 1,2,3 and y=1,2,3. Determine the value of c.**coffee filter has mass 0.01908 kg total stack mass m = 12 × 0.01908 = 0.22896 kg AveVelInitial = y3 − y1/t3-t1 = 1.10446 m/s t = 0 at the second observation of our collected data distance fallen here is 0 m initial velocity of 1.10446 m/s. v(t) = (g−1/2m*ρACvo2)t+c Where variables are g is acceleration due to gravity ρ is density of airC is drag coefficient A is the cross sectional area of the object vo is the initial velocit m is mass of stacked coffee filters ** a) Solve your differential equation for v(t)b) If you choose to solve the equation in v(t), the velocity, then you can integrate the velocity function you obtained, v(t), above to get position function
- Skewness and Kurtosis DefinitionThe table shows the score obtained by applicants for secretarial position in a certain manufacturing company. Determine the value of the following:(2 decimal places) Scores Frequency82-90 373-81 964-72 1855-63 1546-54 2237-45 3728-36 119-27 310-18 2c = 9 n = 110 give the following below: j. Kurtosis (3 decimal places) j. 1 (Interpret the result)A space curve Let w = x2e2y cos 3z. Find the value of dw/ dt at the point (1, ln 2, 0) on the curve x = cos t, y = ln (t + 2), z = t.
- Sketch a direction field for y'=x/y. Sketch your field over the region R={(x,y) | -4x4,-4y4} . Draw direction indicators (arrows!) at each interval coordinate pair. Draw a particular solution for the initial condition y(0)= -3. I am looking for second part.Please show me your solutions and interpretations. Show the completehypothesis-testing procedure.An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 59–75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05.(a) Find the minimum and maximum xcoordinates of points on the cardioid r =1−cosθ.(b) Find the minimum and maximum ycoordinates of points on the cardioid in part (a).