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From the local linearizations of ex and sin x near x = 0, write down the local linearization of the function ex sin x. From this result, write down the derivative of ex sin x at x = 0. Using this technique, write down the derivative of ex sin x/(1 + x) at x = 0.
a.) A gas bottle contains 7.52×1023 Hydrogen molecules at a temperature of 369 K. What is the thermal energy of the gas? (You might need to know Boltzmann's constant: kB = 1.38×10-23 J/K.)
A cylinder has a diameter of 15 cm. The water level in the cylinder is maintained at a height of 0.45 m. If the diameter of the spout pipe is 0.50 cm, how high is h, the vertical stream of water? (Suppose the water to be an ideal fluid)
To predict, sketch and test acceleration vs. time kinematics graphs - To review predicting and sketching distance vs. time and velocity vs. time kinematics graphs
in a physics laboratory experiment a coil with 180 turns enclosing an area of 13.5 cm2 is rotated during the time
Determine the Kinetic energy of the system before Bob jumps on (KEo), after Bob jumps on(KE'), and after Bob moves the mass in part c (KE'').
Sketch the expected flow around a sphere if (a) Re ¼ 4, (b) Re ¼ 4000, and (c) 40 000. Identify the separated region, the wake, any laminar or turbulent boundary layers, and the free stream.
Two different wavelengths of monochromatic light are projected through the same double slit. First a 490 nm light is projected, calculate the unknown wavelength
The aire outside a hot-air balloon has a temperature of 17 C. Assume the pressure of the gas inside the balloon is roughly the same with the pressure outside of the balloon. What is the temperature of the air inside the balloon
A 6 centimeter diameter, 10 centimeter long cylinder contains 100 mg of oxygen (O2) at a pressure less than 1 atm. Evaluate what is the temperature of the gas
(a) How many times does PSR 1937+21 rotate in 77.0 days? (b) How much time (in s) does the pulsar take to rotate 5.00 × 106 times and (c) what is the associated uncertainty, in s?
a competitive mini-golf player notices an opponents ball situated 50cm in front of a wallcontaining two tunnels. one
A bat moving with a speed of 4.10 m/s and emitting sound of 31.0 kHz approaches a moth at rest on a tree trunk. What frequency is heard by the moth
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