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1. Boyce and DiPrima

Yet another generation of students in ODE classes is forced to buy an exorbitantly priced new edition of the Boyce and DiPrima ODE text. Thank you for this wonderful and barely expanded ninth edition. Sample problem: 2.3.21 Assume that the conditions are as in problem 20 except that there...
2. Projectile: Given V0, h, show d=(v0/g)sqrt((v0)^2-4gh)

Homework Statement A projectile is fired from a gun (adjusted to give maximum range) with velocity v_{0}. The projectile passes through two points at a height h. The problem asks us to show that d=\frac{v_{0}}{g}\sqrt{v^{2}_{0}-4gh} where d is the distance between the two points at height...
3. Spherical Coordinates Triple Integral

I thought this question was elementary... but I apparently know less than I thought I did. Homework Statement Use spherical coordinates to evaluate \iiint_{E} x^{2}+y^{2}+z^{2}dV Where E is the ball x^{2}+y^{2}+z^{2}\leq 16 Homework Equations x^{2}+y^{2}+z^{2}=\rho^{2} The...
4. Potential of charged disk for x R

I understand the answer to this part of the problem intuitively but there's definitely something in the math that I'm missing-- Homework Statement Along the axis through the center of a charged disk, for a point P at a distance x from the center, the potential will be...