The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec(x), where x is the distance (in meters) that the cylinder is extended in its cycle. The domain of F is [0, π/3], and F(0) = 700. (a) Find F as a function of x. F(x) = (b) Find the average force exerted by the press over the interval [0, π/3]. (Round your answer to one decimal place.) F = N Need Help? Read It Master It

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec(x), where x is the distance (in
meters) that the cylinder is extended in its cycle. The domain of F is [0, π/3], and F(0) = 700.
(a) Find F as a function of x.
F(x) =
(b) Find the average force exerted by the press over the interval [0, π/3]. (Round your answer to one decimal place.)
F =
N
Need Help? Read It
Master It
Transcribed Image Text:The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec(x), where x is the distance (in meters) that the cylinder is extended in its cycle. The domain of F is [0, π/3], and F(0) = 700. (a) Find F as a function of x. F(x) = (b) Find the average force exerted by the press over the interval [0, π/3]. (Round your answer to one decimal place.) F = N Need Help? Read It Master It
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