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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]
A force of 7 pounds is required to hold a spring stretched 0.1 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length?
Suppose that you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
A high-tech company purchases a new computing system whose initial value is V. the system will depreciate at the rate f= f(t) and will accumulate maintenance costs at the rate g =g(t)
the vertices of the trapezoid are the origin along with A(4m,4n),B(4q,4n) and c(4P,0) find the midpoint of the midsegment of the trapezoid.
what is the lenght and width of a rectangle if the length is 100 feet more than the width and the perimiter is 1320 feet?
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0.
What is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result.
A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?
what is the probability of getting a sample proportion this small or smaller? Do you think she actually has 55% of the vote? Why or why not?
Determine how many solutions exist
To be effective, these plants are also required to produce a minimal amount of steam.
How many ways are there to select 5 players from a 10-member tennis team to make a trip to a match at another school?
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