How do I solve this ? What is domain again? Let f(x,y)= sqrt. of (25−4x^2 −y^2) (A) Find the domain of f.   (B) Find f(−2,3)

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A: Given query is to eveluate the integral.

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A:

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A: First differentiate  wrt xand then use formula

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A: We can find the answer as below.

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Q: Integrate using substitution. Clearly state your substitution. dx/ sqrt(5-x^2-4x)

A: Given ∫dx5-x2-4xLet I = ∫dx5-x2-4xI = ∫dx-(-5+x2+4x)I = ∫dx-(x2+4x-5)I = ∫dx-(x2+4x+4-4-5)…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.