2. Let R be the region bounded by the parabola y = x? - 2x + 5 and the lines x = 3 and y = 4. Find the a) vertex of the parabola, b) points of intersection of the line and parabola and c) area using double integral. Sketch the graph of the region.

2. Let R be the region bounded by the parabola y = x? - 2x + 5 and the lines x = 3 and y = 4. Find the a) vertex of the parabola, b) points of intersection of the line and parabola and c) area using double integral. Sketch the graph of the region.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 23E

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Evaluate the iterated Integral

2. Let R be the region bounded by the parabola y = x? – 2x + 5 and the lines x = 3 and
y = 4. Find the a) vertex of the parabola, b) points of intersection of the line and parabola,
and c) area using double integral. Sketch the graph of the region.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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