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Expand y = exp(x) into a Taylor series about x = 0. What is the radius of convergence of this series? Suppose that only the first three terms of the series are added. Compare that sum against the exact solution from a calculator evaluation of exp(x) by computing the relative error for x = 0.1, 1, and 2. Explain why the error increases as x increases. If you want a 1% relative error in the evaluation of exp(x), where x = 1, how many terms in the series must be included?
If she replaces her alarm clock with a wind-up clock, how much energy per day will she avoid using?
calculate the force and pressure acting across the pelvis and at the feet of a 150 lbm person. model the body using
Make a visit to a commercial building. Examine the HVAC system. Identify chief components of the system. Describe control and energy management strategies used.
1. Determine the volume change, in ft3, when 1 lb of water, initially saturated liquid, is heated to saturated vapor while pressure remains constant at 1.0, 14.7, 100, and 500, each in lbf/in.2 Comment. 2. For H2O, determine the specified property..
A tapered cantilever beam AB having rectangular cross sections is subjected to a concentrated load P= 50 lb and a couple M0= 800 lb-in. acting at the free end [see figure part (a)]. The width b of the beam is constant and equal to 1.0 in., but th..
During operation the surface temperatures are known to be T1 = 25°C, T2 = 60°C, and T3 = 70°C. What is the net rate at which radiation is transferred to the cover due to exchange with the absorber plates?
The modifications must conform to standards governing the safety of systems involving heating in medical applications. Summarize your conclusions in a report, including sample calculations and at least three references.
A stepping motor with 100 step angles is coupled to a leadscrew through a gear reduction of 9:1 (9 rotations of the motor for each rotation of the leadscrew). The leadscrew has 5 threads/in.
1. Define pyrolysis in its most general sense. 2. Pyrolysis products include solids, liquids, and non-condensable gases. Provide a high level summary of the chemical composition of each of these products.
To deliver the light, we use an optical fiber. If the fiber is at most 2m long, and we want 99% of the power to be transmitted, what is the maximum attenuation a that the fiber could have
a shaft with a diameter of 100 mm rotates at 1500 rpm. a fluid-film bearing is designed to support a 5 kn load. assume
A structural steel with a fracture toughness of 60 MPa(m^1/2) has no surface crack larger than 3.5 mm in length. By how much (in %) would this largest surface crack have to grow before the system would experience fast fracture under an applied stress..
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