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Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A (r), i.e to turn A as a function of r into. r as a function of A. ab sin (a) 00 a r(A) = %3D Hints: • To calculate an inverse function, you need to solve for r. Here you would start with A = 2 ar2 + 16 ar. This equation is the same as 2 r2 + 16 ar – A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. 3 n+1 z+1 more information in the Introduction to Mobius unit. • If you want to type in in Mobius, in text mode you can type in (3*pi+1)(x+1). There is Part c: If the surface area is 275 square inches, then what is the rardius r? In other words, evaluate r (275). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as V17.3, you could • Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) • Use a browser to connect to the Internet and type in sqrt(17.3) into a search field • Use a calculator The radius is 3.73 inches if the surface area is 275 square inches.

Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A (r), i.e to turn A as a function of r into. r as a function of A. ab sin (a) 00 a r(A) = %3D Hints: • To calculate an inverse function, you need to solve for r. Here you would start with A = 2 ar2 + 16 ar. This equation is the same as 2 r2 + 16 ar – A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. 3 n+1 z+1 more information in the Introduction to Mobius unit. • If you want to type in in Mobius, in text mode you can type in (3*pi+1)(x+1). There is Part c: If the surface area is 275 square inches, then what is the rardius r? In other words, evaluate r (275). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as V17.3, you could • Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) • Use a browser to connect to the Internet and type in sqrt(17.3) into a search field • Use a calculator The radius is 3.73 inches if the surface area is 275 square inches.

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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If I could get the answers and explanation typed out instead of it written on paper, that would be great, since I can't read hand writing most the time to the fullest. Also need the explanation for why part C is 3.73 inches

Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A (r), i.e to turn A as a function of r into. r as a function of A. ab sin (a) 0 a r(A) = Hints: • To calculate an inverse function, you need to solve for r. Here you would start with A = 2 nr2 + 16 Tr. This equation is the same as 2 ar2 + 16 ar – A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. If you want to type in 3*1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is a+1 more information in the Introduction to Mobius unit. Part c: If the surface area is 275 square inches, then what is the rardius r? In other words, evaluate r (275). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as V17.3. you could • Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) • Use a browser to connect to the Internet and type in sqrt(17.3) into a search field • Use a calculator The radius is 3.73 inches if the surface area is 275 square inches.
Transcribed Image Text:Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A (r), i.e to turn A as a function of r into. r as a function of A. ab sin (a) 0 a r(A) = Hints: • To calculate an inverse function, you need to solve for r. Here you would start with A = 2 nr2 + 16 Tr. This equation is the same as 2 ar2 + 16 ar – A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. If you want to type in 3*1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is a+1 more information in the Introduction to Mobius unit. Part c: If the surface area is 275 square inches, then what is the rardius r? In other words, evaluate r (275). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as V17.3. you could • Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) • Use a browser to connect to the Internet and type in sqrt(17.3) into a search field • Use a calculator The radius is 3.73 inches if the surface area is 275 square inches.
The height of the cylinder is 8 inches. We'll be analyzing the surface area of a round cylinder - in other words the amount of material needed to "make a can". A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is A = 2ar2 + 2nrh (it's two circles for the top and bottom plus a rolled up rectangle for the side). r= radius Areas = 1 r h= height Area = h(2mr) Circumference 2nr Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A (r) = 2 Tr2 + 16 ar. What is the domain of A (r)? In other words, for which values of r is A (r) defined?
Transcribed Image Text:The height of the cylinder is 8 inches. We'll be analyzing the surface area of a round cylinder - in other words the amount of material needed to "make a can". A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is A = 2ar2 + 2nrh (it's two circles for the top and bottom plus a rolled up rectangle for the side). r= radius Areas = 1 r h= height Area = h(2mr) Circumference 2nr Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A (r) = 2 Tr2 + 16 ar. What is the domain of A (r)? In other words, for which values of r is A (r) defined?
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