3. Let f(x,y)=x²y/(x² + y²). (a) Show that f(x,y) goes to zero if (x,y) goes to (0,0) along any straight line y = mx . (b) Show that f(x,y) goes to along the parabola y = x². 11/21 (c) What conclusion do you draw? if (x,y) goes to (0,0)

Q: Suppose that f(æ, y) = e" = e-3z? - 4y? +y

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Q: Consider a spacecraft orbiting a space station that is at the point (5,7). The position function of…

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A: Given function

Q: 3. Show that f(x, y, z) fxx + fyy+fzz = 0. = 1 x² + y² + z² satisfies the equation

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Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

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Q: 4. A) Factor f(x) into linear factors given that k is a zero of f(x). B) Find all roots of the…

A: f(x)=6x3+19x2+8x-5, k=-1To:a) Factor f(x) into linear factors b)Find all roots of the function

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Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

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