I need help with this problem i find the volume but I can't find the weight and centroid. The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet.-2, у 0, and yV1 + y²X =21 + y²IThe length of the beam is / = 20 feet (see figure).(x, y)X ==-2-12x lb3/ ft(a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.)V = 145.5ft3W = 21534+3X(b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.)(0, 0.6x )

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The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. -2 5, y = 0, and y = 3 •√₁+ y²₁ The length of the beam is / = 20 feet (see figure). X = X = 2 (x, y) = / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) V = 145.5 ✔ ft³ W = 21534 Xlb (b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.) =(0, 0.6 × )

The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. -2 5, y = 0, and y = 3 •√₁+ y²₁ The length of the beam is / = 20 feet (see figure). X = X = 2 (x, y) = / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) V = 145.5 ✔ ft³ W = 21534 Xlb (b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.) =(0, 0.6 × )

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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