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Determine if the series converges or diverges; if the series converges, find its sum. Show your work

The portal triad consists of the __________, __________, and the ____________ and is often referred to as the “Mickey Mouse sign”.

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = x2 + 5, y = 3x + 5 ( Sketch a diagram as part of your solution.)

Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle’s path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 25t2, y = 5t, -∞ ≤ t ≤ ∞

The body of the pancreas is usually seen _______ to the left lobe of the liver.

Assuming that the equations define x and y implicitly as differentiable functions find the slope of the curve at the given value of t.x cos t + x = 2t, y = t sin t + t, t =

Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded above by the line y = 5, below by the curve y = , and on the left by the y-axis, about the line y = 5 (Sketch a diagram as part of your solution.)

The liver is covered by a thin connective tissue layer called ___________________ capsule.

Find the length of the curve. Show your worky = 3×3/2 from x = 0 to x =