(3 Find the domain for the function - 2x - 4 f(x)
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A: Functions are given as and Note:Find:Derivatives of given functions.
Q: 1- Find the gradients of the following functions: (a) T =r ( cos0 + sin0 cosØ ). (b) F = e" sin(y)…
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Q: Given Q> Find: 2 |Q|² $ 3 0> 4 1> Find: , and
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- Determine whether each of the following vector fields Fis path independent (conservative) or not. If it is path independent, enter a potential function for it, that is, a function f(x, y) so that Vƒ = F. If it is path dependent, enter NONE.derivative of the given function keeping E fixed in terms of E and TTwo infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by x = 6.1 cm. Each sheet consists of an infinite array of wires with a density n = 15 wires/cm. Each wire in the left sheet carries a current l₁ = 3.3 A in the negative z- direction. Each wire in the right sheet carries a current 1₂ = 4 A in the positive z-direction. R 1₁ H P % % OOOO OOO S X
- (3) The natural independent variables for U are (S, V), from dU = TdS – pdV. U = U(S,V) (), instead. Show that U = U (V,T) leads to a much more complicated expression for p, namely gives simple expressions for T and p as T = and ().: Suppose you use (V,T) p = - V dT + f(V), %D T where f (V) is an unknown function of V.Evaluate the integral. dx (x – 4)(x – 3)(x + 5) | (Use symbolic notation and fractions where needed. Use C for the arbitrary constant.) dx %3D J (x – 4)(x – 3)(x + 5)Find the first and second derivatives of the function. y = e²xsin(5x) y' مسلم = y" =