Find : Ic, Ve, VCE, Vc, Vec- 12V 240kN 2,2kn B = 50

Q: Hi there, this question is for control systems. Could I get help in completing it? Thanks.

A: 1. The differential equation that I find fascinating is: dt2d2y​+2dtdy​+2y=u 2. In this equation,…

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A: A)From Gauss's law :∫E·dA=q∈0E1·4πr2=ρ0∈0×43πr3E1=ρ0r3∈0

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A: Find SOP &POS expressions using k maps for the given functions ?

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Q: 1. Add the following numbers that are in 2's complement (n=7). Show your work, and convert all…

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A: Given that ,                                                           Transfer function

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A: Given data: The function, ft=t3 k=39 T=0.3 sec

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Gradient of a Scalar Field

Consider a room or a place where the temperature is denoted by a scalar field T, such that at each point (x, y, z), the temperature is given as T(x, y, z). It is independent of time, in which the temperature rises most quickly. The gradient of T will show the direction at that point by moving away from (x, y, z). How far will the rise in temperature in that direction be determined by the gradient magnitude? Consider a surface that has a height above sea level at point (x, y) which is given by H(x, y). At that point, pointing in the direction of the steepest slope or grade is the gradient of H. The magnitude of the gradient of the vector gives the steepness of the slope at that point. How a scalar field changes in another direction can be measured by the gradient by taking a dot product rather than just the direction of the greatest change?