Consider an axisymmetric feeding bowl as shown on the left below. Its cross-section is shown on the right with the axis of symmetry aligned along the y-axis.The top curve of the cross-section is given by the functionb. What is the capacity of this bowl?Capacity=cm³c. Find the volume of water inside the bowl if the water level is 3.3 cm measured from the bottom.Volume of water =1961y =C961The horizontal base joins the endpoints of the top curve. Both x and y are in cm.You may need to use a computer algebra system to solve some of the following problems. Round all your answers to at least 3 significant figures.a. Assume that the bowl is solid and is made with plastic. Find the amount of plastic (as a volume) required to make this bowl.Amount of plastic =cm³cm3-x4 (9-x)1 4-x¹ (9 + x)y0≤x≤9.1-9.1 < x < 0X

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Two robots in a factory move on parallel straight tracks. The two tracks are right next to each other. Engineers tested the robot control system. The graph shows the velocities, in meters per minute, of the robots A and B (functions are named for the robots) during the 10-minute test. The sign in the velocity values corresponds to direction: positive is right, negative is left. Use the graph to answer the following questions about the system test. a. How far and in what direction from the starting position is robot A after 6 minutes? Velocity 4- 10 b. How far and in what direction from the starting position is robot B at the end of the 10-minute test? What is the distance this robot travels during the 10-minute test? -4 c. Use the graph to evaluate the integral B(t) dt. Describe in words, and using the value you found, what this says about the corresponding robot.
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#12
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A 650-ft equal-tangent sag vertical cuve has its PVC at station 60+50 and elevation 950 ft. The initial grade is -4.5% and the final grade is +3%. Determine elevation of the lowest point of the curve. O A. 803.55 O B. 941.23 O C. 783.71 O D. 835.16
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