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Consider the integral 2√x dx. Fill in the circles next to all of the quantities below that this Q2: Multiselect integral represents. A The area bounded by x = y², x = 2, and x = 5. 4 B The family of functions 1x³/2 + C, where C is the constant of integration. The volume of the solid whose base in the (x, y)-plane is bounded by y = 2√x, y = 0, x = 2 and x = 5 and whose cross-sections parallel to the y-axis are squares. D The volume of the solid formed when the region bounded by y = y-axis. 1 √x=0, x=2 and x = 5 is revolved about the 1 E The length of the curve given by y = (4x - 1)³/² from x = 2 to x = 5.

Consider the integral 2√x dx. Fill in the circles next to all of the quantities below that this Q2: Multiselect integral represents. A The area bounded by x = y², x = 2, and x = 5. 4 B The family of functions 1x³/2 + C, where C is the constant of integration. The volume of the solid whose base in the (x, y)-plane is bounded by y = 2√x, y = 0, x = 2 and x = 5 and whose cross-sections parallel to the y-axis are squares. D The volume of the solid formed when the region bounded by y = y-axis. 1 √x=0, x=2 and x = 5 is revolved about the 1 E The length of the curve given by y = (4x - 1)³/² from x = 2 to x = 5.

Advanced Engineering Mathematics
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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1. Directions: Fill in the circle next to the correct response(s). You do not need to show your work for this problem. There is no partial credit. Q1: True or False Determine whether each statement below is true or false. 1 (T) FIf the region bounded by y = y = 0, x = 1, and x = 2 is revolved about x = -2, the washer method could be used to set up the volume of the resulting solid as integral or sum of integrals with respect to x. X (T) (F) The region bounded by y = √x, x = 1, x = 4 and y = 8 is revolved about the line y = -3. If the shell method is used to find the volume of the resulting solid, more than one integral is needed. (T) The base of a solid is the region in the (x, y)-plane bounded by y = 4x² and y = 3. If cross-sections taken parallel to the x-axis are equilateral triangles, then an integral with respect to x should be used to compute the volume of the solid. Q2: Multiselect integral represents. Consider the integral 2√x dx. Fill in the circles next to all of the quantities below that this The area bounded by x = y², x = 2, and x = 5. 4 B The family of functions ³/² + C, where C is the constant of integration. x3/2 ⒸC The volume of the solid whose base in the (x, y)-plane is bounded by y = 2√x, y = 0, x = 2 and x = 5 and whose cross-sections parallel to the y-axis are squares. D The volume of the solid formed when the region bounded by y = 1 T√√x y-axis. y = 0, x= 2 and x = 5 is revolved about the 1 E The length of the curve given by y = (4x - 1)3/² from x = 2 to x = 5.
Transcribed Image Text:1. Directions: Fill in the circle next to the correct response(s). You do not need to show your work for this problem. There is no partial credit. Q1: True or False Determine whether each statement below is true or false. 1 (T) FIf the region bounded by y = y = 0, x = 1, and x = 2 is revolved about x = -2, the washer method could be used to set up the volume of the resulting solid as integral or sum of integrals with respect to x. X (T) (F) The region bounded by y = √x, x = 1, x = 4 and y = 8 is revolved about the line y = -3. If the shell method is used to find the volume of the resulting solid, more than one integral is needed. (T) The base of a solid is the region in the (x, y)-plane bounded by y = 4x² and y = 3. If cross-sections taken parallel to the x-axis are equilateral triangles, then an integral with respect to x should be used to compute the volume of the solid. Q2: Multiselect integral represents. Consider the integral 2√x dx. Fill in the circles next to all of the quantities below that this The area bounded by x = y², x = 2, and x = 5. 4 B The family of functions ³/² + C, where C is the constant of integration. x3/2 ⒸC The volume of the solid whose base in the (x, y)-plane is bounded by y = 2√x, y = 0, x = 2 and x = 5 and whose cross-sections parallel to the y-axis are squares. D The volume of the solid formed when the region bounded by y = 1 T√√x y-axis. y = 0, x= 2 and x = 5 is revolved about the 1 E The length of the curve given by y = (4x - 1)3/² from x = 2 to x = 5.
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