EXAMPLES: PARTIAL DIFFERENTIAL EQUATIONS
If y= f(x)= aex + be2x + ce3x show that d3y/dx3 – 6dy2/dx2 + dy/dx – 6y=0
Find an interval of the form [a,b] in which the equation ln(2+x^4+cos(x))=4 has a solution. If any theorem is used, then carefully check the hypotheses.
Compile a list of all the various techniques for factoring a polynomial. Give an example illustrating each technique, and write a paragraph discussing when the use of each technique is appropriate.
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The universal social charge (USC) is calculated on gross income. the rates for USC are: -1% on the first £12,012 of gross annual income -3% on the next £6656 -5.5%…
Find the domain and range of:F(u)= (u+1)/1+(1/U+1)Please show how to solve this without having to graph!