Given that f(x)={kx2+2,≤22kx,x>2. If limx→2f(x) exist, then k equals.

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Q: 2) Consider the following system: x + by = 9 a₁x + 9y = -27 Determine the value(s) for a for which…

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Q: Find the inverse relation of R = {(a, 5), (b, 3), (c, 2), (d, 1)}

A: given relation  R={(a, 5), (b, 3), (c, 2), (d, 1)} we have to find R-1

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Q: dy a) Show that the equation = x² - 15y² 14xy is homogeneous. dx The equation is homogeneous because…

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: State the order of the given ordinary differential equation. t6y (5) - t³y" + 5y = 0 Determine…

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Q: 2) Consider the following system: x + by = 9 a₁x +9y=-27 Determine the value(s) for a for which the…

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Q: dy a) Show that the equation = x² - 11y² 10xy is homogeneous. dx The equation is homogeneous because…

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: 1. Show that the absolute value of Re(z) + the absolute value of Im(z) is less or equal to root of 2…

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Q: Advanced Physics 2. PROBLEM 5: LAPLACE'S EQUATION Solve analytically Laplace's equation Au=0 in the…

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: Consider M(x, y) + N(x, y) = 0. (a) Suppose we can find a function F = F(x, y) so that Fr F(x, y) so…

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Q: Set theory question Show  that if the maximum /minimum elements of A exist. Then it must be unique

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Q: Let H be a Hilbert space and A E B(H). Show that (ker A*)+. (a) Image A = (b) ker A = (Image A*)+.

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: 1. [5pts Consider the function defined by h(x, y) = √ye. (a) Find the domain and range of h. (b)…

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Q: Find the residues of f(z) = z²-2z (z+1)²(z²+4) at all its poles in the finite plane.

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Q: In Problems 90-26 , find a particular solution to the differential equation. 19. 4y/+11y/-3y =…

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Q: Q1-Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X3 = 1 2X1-2X2-4X3-2…

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Q: 4) If y = 2√√x - 2 tan¹ √x, then y = 1 + x² * -1

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Q: 7. Let X(s)=- 2s²-s+3 (s+2)(s+1)(s-2) ROC,{s:-1<Re(s) <2}. Determine x( t). be the Laplace transform…

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