Find the area of the triangle having the given vertices A(-1, 2), B(2,2) and C(-2,4).

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A: first order partial derivatives w.r.t. x and y Take fx= 0 and fy=0  Find values of x,y and (x,y)…

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Q: Let f: R → R given by f(x) = 2 sin(x) − x² + 1. (a) Find an interval [a, b] for which ƒ is…

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Q: Differentiate the function y = -5eº + 7log1 O a. y' = 0 O b. y = 7log1 -5e⁰ O c. y = -5e + 7

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Q: The following exercises concern the partial order R, diagrammed below. f b Figure 15.3.1. d α с e A…

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Q: 2. Let M2x2 (R) be the set of all 2 x 2 matrices (with real number entries). That is a b {[%] | a,…

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Q: 1. find u (x, t) for 0 0 which solves Ut - Uxx = 0, u (x,0) = 1, ux (1, t) = t, ux (0, t) = 0.

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Q: The number of salmon swimming upstream to spawn is approximated by the following function, where x…

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Q: Exercise 4. Solve the equation xx' + y = y' + 2x² = 1. = 2t,

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Q: 16. F = |r|2r, where r = xi + yj + zk, S is the sphere with radius R and center the origin

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