2xy 2) Given the function f (x,y) = x +y consider lim f (x,y) as follows. (x.y)-(0,0) a) Determine lim f (x,y) along a line of the form y = ax for a given constant (0,0) "a" in simplest form.

Q: x, x 2. y=h(x) 4 3 y-2 Show that a. lim h(x) + 4 b. lim h(x) + 3 c. lim h(x) + 2 X-2

A: Given, h(x)=x3,  x<23,  x=2  2,   x>2 now show the limit on x→2…

Q: a. Use the definition man f(a +h)-f(a) = lim to find the slope of the line tangent to the graph of f…

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Q: I Let f: IR→IR and suppose that lim fcx, y) = 5. (x,y) (1,3) that can you say about the value…

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Q: 7.) The depth of water in a zoo aquarium at a certain point is modeled by the function W defined…

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Q: Find : lim x*-4y2 if it exists. а. (x,y)→(0,0) x²+2y2 x²y+xy² b. lim if it exists. (х,у)-(2,-1)…

A: Given To check it is exist or not  If it exists then find the value

Q: Use the graphs of f and g and their tangent lines at (2, 0) to find lim f(x) x+2 g(x) y 1 -1 -2 y =…

A: By using the graphs of  and their tangent lines at  to find .

Q: For the function f(x,y) = (a) Find x³y 3x + y² lim f(x,y) along any straight line y = mx.…

A: Given function .

Q: #1 Let f: IR→IR and Suppose What can you say you say about the value (x,y) = (1,3) f(1,3)? that lim…

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Q: 3. Let f(r. y) = (a) Find lim f(x,y), if it exists. If it does not exist, explain why. (z.)+(-1,2)…

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Q: ト 2. f(x) 3 -1 1. 2 3 4 5 6 7

A: We have to find out the domain