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Consider the function f(x) = .
(a) Find and sketch f(x) and the tangent line approximation to f(x) near x = 4.
(b) Compare the true value of f(4.1) with the value obtained by using the tangent line approximation.
(c) Compare the true and approximate values of f(16).
(d) Using a graph, explain why the tangent line approximation is a good one when x = 4.1 but not when x = 16.
A piece of metal is released under water. The volume of the metal is 38.1 cm3 and its specific gravity is 5.1. Evaluate what is its initial acceleration
A police officer is driving due north at a constant speed of27 m/s relative to the ground when shenotices a truck on the east-west highway ahead of her, driving we stat a high speed.
Ice of mass 11.0 kg at 0.00° C is placed in an ice chest. The ice chest has 3.10 cm thick walls of thermal conductivity 1.00 x 10^-5 kcal/s · m · C°, How much heat must be absorbed by the ice before it melts
The photograph shows an electron beam whose initial direction of motion is horizontal, from right to left. A magnetic field deflects the beam downward. What is the direction of the magnetic field?
a doughnut contains about 335 calories. note these are food calories. after eating this doughnut you decide to
An airplane has an effective wing surfacearea of 10 m2 that is generating the lift force. What is the weight of the plane
A parallel-plate capcitor with air dielectric has a plate area of 75cm^2. what is the distance between the plates
Two charges, -3.5 µC and -4.7 µC, are placed at (-0.55 m, 0) and (0.55 m, 0), correspondingly. Obtain the location of the point where the electric field is zero
A bat can detect small objects, such as an insect, whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a frequency of 54.0 kHz, and if the speed of sound in air is 340 m/s, what is the smallest inse..
A particle of charge +1.5 nC is placed at a corner of a Gaussian cube with sides 12.0cm. What is an electric flux through the cube.
During normal operation, a computer's hard disk spins at 5400 rpm. what is the average angular acceleration of the hard disk
A roller in a printing press turns through an angle given by , where =3.20 and =0.500. What is the maximum positive angular velocity
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