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Q. 1 Solve x^2d^2y/dx^2-3xdy/dx+y=sin(log x)/x
Q. 2 Verify Stokes theorem for F=(x^2-y^2)i+2xyj in the rectangular region in the xy plane bounded by the lines x=0,x=a,y=0,y=b.
Q. 3 Solve y"-3y'+2y=4 given that y(0)=2,y(0)=3 using Laplace transform method .
Q. 4 Solve (D^2-4D+4)y=8[e^2x+x^2]
Compute the wind chill for an air temperature of 15°C and a wind speed of 12 meters per second and Find the exact value of the trigonometric function
How many bit strings of length 6 are there? Explain fully.
Reconsider the network diagram. Suppose that after 12 weeks, activities 1-2, 1-3, and 2-4 have been finished; activity 2-5 is 75 percent finished; and activity 3-6 is half finished. How many weeks after the original start time should the project be f..
Compute the probability based on the distribution.
If 6 oz of dough are needed to make an 8-in pizza, how much dough will be needed to make a 16-in pizza of the same thickness? Compare the areas of the pizza tops.
an airplane is flying on a bearing of 310 degrees at 530mph. A wind is blowing at a bearing of 260 degrees at 85mph. what is the component form of the velocity of the airplane, of the wind? what is the actual ground speed and bearing of the plane?
the future lifetimes tx and ty are independent and each has the distribution de?ned by the p.d.f.fy 0.0210 - t 0 lt t
What was the death rate per capita for heart disease in the US for 2010 and multiple the rate from A by 100,000 and explain the meaning of this new number by using it in a sentence.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
you have been hire to design a rose garden for a client. the client wants the roses to surround a rectangular
Find an equation of the tangent plane to the parametric surface x=-2rcos(theta), y=-3rsin(theta), z=r at the point (-2sqrt(2),-3sqrt(2),2) where r=2, theta=pi/4
how many different simple random samples of size 8 can be selected from a population consisting of 70 people? you may
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