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(a) Find the best linear approximation, L(x), to f(x) = ex near x = 0.
(b) What is the sign of the error, E(x) = f(x) - L(x) for x near 0?
(c) Find the true value of the function at x = 1. What is the error? (Give decimal answers.) Illustrate with a graph.
(d) Before doing any calculations, explain which you expect to be larger, E(0.1) or E(1), and why.
(e) Find E(0.1).
A closed rigid vessel having a volume of 0.566 m3 is filled with steam at 0.800 MPa and 250.°C. Heat is transferred from the steam until it exists as saturated vapor. Calculate the amount of heat transferred during this process.
A turntable rotates counterclockwise at 78 rpm. A speck of dust on the turntable is at 0.45 rad at t=0, Determine the angle of the speck at t = 8.0 second
The flywheel of a steam engine runs with a constant angular speed of 116 rev/min. What is the magnitude of the constant angular acceleration of the wheel
A baking dish is removed from a hot oven and placed on a cooling rack. As the dish cools down to 37° C from 192° C, What was the net radiant power of the baking dish when it was first removed from the oven
If you used the double slit equation to calculate the distance of the first maximum by what percentage would your answer be off
A cord of length 1.0m is fixed at both ends. Its mass per unit length is 1.2g/m and the tension is 11N. What is the frequency of fundamental oscillation
A playground is on the flat roof of a city school, 6.1 m above the street below (see figure). The vertical wall of the building is h = 7.60 m high, Find the speed at which the ball was launched
A vertical spring with a spring constant of 440 N/m is mounted on the floor. what height (in cm) above the compressed spring was the block dropped
The height of the haystack is 1 meter. You press down on topof the stack and discover that to compress the stack by 25cm, What is the haystack's spring constant
A uniform 0.25-kilog thin rod that has an 80-centimeter length is free to rotate about a fixed horizontal axis perpendicular to and through one end ram of the rod. Find the initial acceleration of the free end of the rod
Object A has an emissivity of 0.95; and its temperature is 25 degrees C At what temperature (in degrees C) does object B, whose emissivity is 0.50, emit radiation at the same rate as object A if both objects have the same surface area?
The carbon monoxide molecule (CO) consists of a carbon atom and an oxygen atom separated by a distance of 1.13 * 10^-10 m. The mass of mc = 0.750 mo. Determine the location of the center of mass of this molecule relative to the carbon atom.
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