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.

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A: Given the graph of a piecewise function f. The objective is to find limit of the function f at…

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A: Third option is correct.

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Q: Q5 5 points The equation Of the line passing through the point P1(2,5) With slop 3/4 is Y=4X+C True…

A: Question (5) FALSE

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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A: The given function is  fx=limn→∞xn2+xn

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A: Explanation of the answer is as follows

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Q: #4 Find the limit or show lim y²-x² that it DNE (Gy)-> (11) y x y ³

A: Answer is 2Explanation:

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Q: If y = (y - 5)-(y - 10), a. find the lim y(x) if y(0) = 0. b. find the lim y(x) if y(0) = 8. %3D c.…

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Q: a) If lim (3x² – 8x + 3) = 3, then find the values of m. x→m b) Find the coordinates of the point(s)…

A: a) To find the value of the limit, substitute m for x then solve for the value of m. b) we know that…

Q: Зx (х-2) (a) Determine the value of lim X-2 |x-2| (b) Find the lines that are (i) tangent and (ii)…

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…

Q: Answer the question. lim Does f(x) = f(2)? %3D x-2 [x3. -2<x s0 -3x, 0 sx<2 8, f(x) = 2<x s4 0, x= 2

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Q: 3-5, Use the graph to visually determine the limit V-1, 3) A 1 y=f(x) 3. 4. (0, 1) Аз, 0) y=f(x) (0,…

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

Q: cos x b) Evaluate the limits: (i) lim x→ 0 \2x 4 1 (ii) lim[ x- 2'x2-4 х-2-

A: The objective is to evaluate the limit.

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Q: x² – y + 1 f (x, y) x² – y? + 1 -

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A: Note:- according to the company policy we attempt only one question so please upload the next…

Q: Use the definition for the slope of a tangent line below to explain how slopes of secant lines…

A: Assume 2 points ( a,f(a) ) and ( x,f(x) ) such that ( x,f(x) ) is any point near ( a,f(a) ).The…