Force 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 ) = 500 . (a) Find F as a function of x . (b) Find the average force exerted by the press over the interval [ 0 , π / 3 ] .
Force 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 ) = 500 . (a) Find F as a function of x . (b) Find the average force exerted by the press over the interval [ 0 , π / 3 ] .
Force 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
)
=
500
.
(a) Find F as a function of x.
(b) Find the average force exerted by the press over the interval
[
0
,
π
/
3
]
.
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
Chapter 4 Solutions
Student Solutions Manual For Larson/edwards' Calculus Of A Single Variable: Early Transcendental Functions, 2nd
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