Question Solved1 Answer Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval 2,4). Suppose the region is rotated about the x -axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select] c) What is a formula for area of the cross-sections? (Select] d) Which of the below integrals give the volume of the solid? [Select] 1. 3 16g du ii. S 167x* da ili. S *x?dx iv. S 16x*dx S2 167x?dx V. Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval [2, 4]. Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem. b) What is the shape of the cross-sections Select ] triangles circles c) What is a formula for area of the cross-s none of the other options ovals d) Which of the below integrals give the va squares i 16x2da ii. S. 1672* dx ili. Sa madx iv. S * 1624dx 167x dx V. D Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval 2,4. Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select) ☆ c) What is a formula for area of the cross-sections [ Select] A(x) =16 pix^4 A(x) = 16 pix^2 d) Which of the below integrals give the volume of A(x) = 16 x^4 A(x) = 16 x^2 1.8 16x?da A(x) = pi x2 S 1672* da il. S xdx iv. S' 16.0*dx S1642'de V. Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval (2,4). Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select ! c) What is a formula for area of the cross-sections? (Select] d) Which of the below integrals give the volume of the solid V[ Select] V i iii 1.6 162dx il. C, 167x* da ili. Sz?dx iv. S 162* dx S 16722dx V.

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Transcribed Image Text: Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval 2,4). Suppose the region is rotated about the x -axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select] c) What is a formula for area of the cross-sections? (Select] d) Which of the below integrals give the volume of the solid? [Select] 1. 3 16g du ii. S 167x* da ili. S *x?dx iv. S 16x*dx S2 167x?dx V. Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval [2, 4]. Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem. b) What is the shape of the cross-sections Select ] triangles circles c) What is a formula for area of the cross-s none of the other options ovals d) Which of the below integrals give the va squares i 16x2da ii. S. 1672* dx ili. Sa madx iv. S * 1624dx 167x dx V. D Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval 2,4. Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select) ☆ c) What is a formula for area of the cross-sections [ Select] A(x) =16 pix^4 A(x) = 16 pix^2 d) Which of the below integrals give the volume of A(x) = 16 x^4 A(x) = 16 x^2 1.8 16x?da A(x) = pi x2 S 1672* da il. S xdx iv. S' 16.0*dx S1642'de V. Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval (2,4). Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select ! c) What is a formula for area of the cross-sections? (Select] d) Which of the below integrals give the volume of the solid V[ Select] V i iii 1.6 162dx il. C, 167x* da ili. Sz?dx iv. S 162* dx S 16722dx V.
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Transcribed Image Text: Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval 2,4). Suppose the region is rotated about the x -axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select] c) What is a formula for area of the cross-sections? (Select] d) Which of the below integrals give the volume of the solid? [Select] 1. 3 16g du ii. S 167x* da ili. S *x?dx iv. S 16x*dx S2 167x?dx V. Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval [2, 4]. Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem. b) What is the shape of the cross-sections Select ] triangles circles c) What is a formula for area of the cross-s none of the other options ovals d) Which of the below integrals give the va squares i 16x2da ii. S. 1672* dx ili. Sa madx iv. S * 1624dx 167x dx V. D Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval 2,4. Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select) ☆ c) What is a formula for area of the cross-sections [ Select] A(x) =16 pix^4 A(x) = 16 pix^2 d) Which of the below integrals give the volume of A(x) = 16 x^4 A(x) = 16 x^2 1.8 16x?da A(x) = pi x2 S 1672* da il. S xdx iv. S' 16.0*dx S1642'de V. Question 2 1 pts Consider the region bounded by the curve f (x) = 4x2 on the interval (2,4). Suppose the region is rotated about the x-axis to form a solid of revolution. We want to find the volume of the solid and we will work through the following steps: a) Draw a graph of the 2D region. On a separate graph try to draw the 3D solid. These will help you in the rest of the problem b) What is the shape of the cross-sections? (Select ! c) What is a formula for area of the cross-sections? (Select] d) Which of the below integrals give the volume of the solid V[ Select] V i iii 1.6 162dx il. C, 167x* da ili. Sz?dx iv. S 162* dx S 16722dx V.
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f(x)=4x^(2)quad[2,4]a)2D region graph3D graphb) Cincles, It is clearly seen from 3D gnaphc) Anea of cross section: Larger c.s =>y=4(4)^(2){:[" Radius "=64],[" Area "=pi(64)^(2)],[" Smaller c.5 ... See the full answer