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Calculus

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Q: What is an improper integral of Type I? Type II? How are the values of various types of improper int...

A: The improper integrals may be defined based on the continuity of the integrand inside them within th...

Q: lim tan^-1 x divided by x where x is 0 would that be considered undefined?

A: Click to see the answer

Q: What is a reduction formula? How are reduction formulas used? Give an example.

A: Reduction formulae are integrals involving some variable n.Given the one reduction formula:

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A: Find f(x+h) by plugging x+h in the expression of f(x)

Q: What substitutions are sometimes used to transform integrals in-volving sqrt(a2 - x2), sqrt(a2 + x2)...

A: Formulas for the given type of forms is shown below:

Q: Show that the curves 2x2 + 3y2 = 5 and y2 = x3 are orthogonal.

A: To show that the two curves are orthogonal.

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Q: In the fucntion: f(x)= (12-3x)(e^x) When is the function concave up and concave down in interval n...

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Q: How many terms of the Taylor series for ln (1 + x) should you add to be sure of calculating ln (1.1)...

A: The Taylor series for ln(1+x) can be written as:

Transcribed Image Text

In Problems 11–14 verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. 11. 2y' + y = 0; y= e