Find a polar equation for the conic that has its focus at the pole and satisfies the statedconditions (Points are in polar coordinates and directrix in rectangular coordinates for simplicity). Hyperbola: e = 5/4; directrix x = −4

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Q: -3y те f(x, y) = ze Find f. (x, y). fay(x, y), and fyr (r, y). Y y ln 2x

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Q: 11. Evaluate L{sint cost}. a. (s^2+4) b. 1/(s^2+4) c. 1/(s^2+1) d. 1/(s^2 +1) öö

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Q: . Find the domain of the following functions: m (1) y=log (16-x²); (2) y = arcsin x+; (3) y = x-3…

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Q: 3. x (x^2 In y - 1) dy + 2y dx = 0; y(3) = 4. y(x)=2. Determine the particular solution.

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Q: Maximize p = x-y+z+w subject to x+y+z≤8 y+z+w≤ 8 x+z+w≤9 x+y+ws9 x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.

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Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…