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Arc Length for Parametric Equations
L = ∫βα √ ((dx/dt)2 + (dy/dt)2) dt
Note: that we could have utilized the second formula for ds above is we had supposed instead that
dy/dt > 0 for α < t < β
If we had moved out this route in the derivation we would have gotten similar formula.
Before going to solving differential equations we must see one more function. Without Laplace transforms this would be much more hard to solve differential equations which involve
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show that all primes except 2, are of the form 4n-1 or 4n+1
Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section. Ther
time=2.82/4000
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Find out the greater of two consecutive positive odd integers whose product is 143. Let x = the lesser odd integer and let x + 2 = the greater odd integer. Because product is a
Under this section we will be looking at the previous case for the constant coefficient and linear and homogeneous second order differential equations. In this case we need soluti
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