Hints: . To calculate an inverse function, you need to solve for r. Here, you would start A-2 r2 + 16 r. This equation is the same as 2 r2 + 16 Tr - A=0 which is a qua equation in the variable r, and you can solve that using the quadratic formula. You will w keep A as a variable when you plug the values into the quadratic formula. . If you want to type in 3 п+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). Th x+1 more information in the Introduction to Mobius unit. Part c: If the surface area is 250 square inches, then what is the radius r? In other words, eva r (250). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as 17.3, 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 8.92 01 inches if the surface area is 250 square inches. Save Quit & Save M Previous Unit Item Next Unit Item 17 T May 7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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Related questions
Question
s/206945/0#questionstyle.0
Hints:
●
To calculate an inverse function, you need to solve for r. Here, you would start with
A-2 r2 + 16 r. This equation is the same as 2 r2 + 16 πr - A=0 which is a quadratic
equation in the variable r, and you can solve that using the quadratic formula. You will want to
keep A as a variable when you plug the values into the quadratic formula.
If you want to type in
3 п+1
in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is
x+1
more information in the Introduction to Mobius unit.
Part c: If the surface area is 250 square inches, then what is the radius r? In other words, evaluate
r (250). Round your answer to 2 decimal places.
Hint: To compute a numeric square root such as √17.3, 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 8.92
Save
inches if the surface area is 250 square inches.
Quit & Save Previous Unit Item Next Unit Item
ES
<☆
8
May 7
7:24 US
Transcribed Image Text:s/206945/0#questionstyle.0 Hints: ● To calculate an inverse function, you need to solve for r. Here, you would start with A-2 r2 + 16 r. This equation is the same as 2 r2 + 16 πr - A=0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. You will want to keep A as a variable when you plug the values into the quadratic formula. If you want to type in 3 п+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is x+1 more information in the Introduction to Mobius unit. Part c: If the surface area is 250 square inches, then what is the radius r? In other words, evaluate r (250). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as √17.3, 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 8.92 Save inches if the surface area is 250 square inches. Quit & Save Previous Unit Item Next Unit Item ES <☆ 8 May 7 7:24 US
< ☆
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 xr² + 16 r. What is the domain of A (r)? In other words, for which values
of r is A (r) defined?
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 intor as a
function of A
(24)
Hints:
To calculate an inverse function von need to solve for r
Quit & Save Previous Unit Item Next Unit Item
COM
►
30
Here you would start with
8
May 7
7:23 US
Transcribed Image Text:< ☆ 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 xr² + 16 r. What is the domain of A (r)? In other words, for which values of r is A (r) defined? 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 intor as a function of A (24) Hints: To calculate an inverse function von need to solve for r Quit & Save Previous Unit Item Next Unit Item COM ► 30 Here you would start with 8 May 7 7:23 US
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