b. lim f(x) InoT -1 a =0 c. lim f(x) x→a+ (x)9Jorl ImoT d. lim f(x) Meweren egbllo 1adamun ad T tu am losst of ebno ni mado of sonq ofT mn hton 4. If revenue, R, and cost, C, are given by R(x) = 50x - 0.5x2 and C (x) = 5x + 30, in dolars, find a) the number of units, x, that must be sold, in order to produce maximum profit, 50K-.5x2- [Sx+30] 882.50 b) the maximum profit. SONT.Sx-5X-30 50x--S* 30 45X-,5x2-30e Cara10jla d romn al ounavn Iato daitiv vol aultob nilo (e)aulav ah (o

Q: 2(x-1)* - y² Lex-1)* +2y (d) Show lim does not exist.

A: Limit exist

Q: Q3: A) Find the limits below 1) lim (x,y)—(0,0) x² + sin²y 2x2 + + y²

A:

Q: Q.3 Find the following limits: x+3 3.1 lim→-3 x2+4x+3 x² +4x+3 x+2 3.2 limx-2 Jx² +5-3 u-1 3.3 lim-1…

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

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A: The epsilon-delta definition of limits says that the limit of f(x) at x=c is  value  of limit. if…

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A: To check whether the given statement is true or false.

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A:

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A:

Q: 2.r + y Find lim (x,y)→(0,0) 2.x²y + xy² or show that it does not exist.

A:

Q: Consider the graph of y = x2/3 = Vx² on the interval [0, 0]. FIGURE 2. The curve y = x2/3. 2 - Show…

A:

Q: Along the path z= e find 2. lim (2,4)→(1,0) y-4zy 3x-y-3

A: Here, we have to reduce this limit to a limit in a single variable by using the equation of curve.…

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A: Factor the numerator using a^2-b^2=(a+b)(a-b) formula. With a=t and b=4

Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

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A:

Q: 16. Find the equation of the line tangent to the functionf (x) = 6Vx at x-4. *hint: use lim,a…

A:

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A: Step 1: Consider the provided question, Hello. Since your question has multiple sub-parts, we will…

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A:

Q: 16x4+9y12 (x,y) (0,0) 4x²+3y6 Show that lim does not exist.

A:

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A:

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A:

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A:

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A:

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A: Check the value of function nearer to given point of limit if they are equal only then limit will…

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A: Given that: p(t) = −0.07t + 5.0    if t ≤ 3 0.3t + 12.0if t &gt; 3

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x&lt;2x3-1      if x&gt;217           if x=2  To find…

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A: Please refer the attached image for complete solution.

Q: Determine the limit at infinity x+x-6x first.) x+x2-6x lim (x-x2 -6x) (Hint Multiply by O A. 0 OB. 6…

A: To Determine: Compute the limit

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A: We will use Chebychev's inequality to find the required limit of probability.

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A: Answer

Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y) (0,0) 2x² + y² 2) lim (x, y)-(1,1) x² - 2xy +…

A:

Q: 5. Show that x³y³ lim (x,y) →(0,0) 2x¹2 + 3y4 does not exist.

A:

Q: B. Calculate the limits of the following functions.. 1. limx¬-1(2X2 + X + 4) 2. limy--2(y3 + 5y – 1)…

A:

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A:

Q: 8. Calculate the following limits. (*# y + 1) /2r – y - 2 (a) lim (b) lim (2r - y + 4) (a.v)-(0,0) r…

A: given,

Q: [4] (a) Show that lim (xa)-(0,0) 2x+y? y-mx, or along any parabola y= exists and it's approaches to…

A:

Q: Along the path x = e find lim (1,y)→(1,0) y2-6ry 3x-y-3 O 2 O does not exist O -3 O 3

A:

Q: Let h(x) = (x2 - 2x - 3)/(x2 - 4x + 3). a. Make a table of the values of h at x = 2.9, 2.99, 2.999,…

A: First, we factor numerator and denominator. Then we simplify for x not equal to 3. Then use this…

Q: 16x4+9y12 (x,y)→(0,0) 4x²+3y6 Show that lim does not exist.

A:

Q: Along the path a = e" find %3D lim (7,y) (1,0) y²-6ry 3r-y-3 O 2 O -2 O-3 O does not exist 0 3

A: we have to find the following limit

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A: Given that:

Q: 1. Investigate the limiting behaviour of x2 lim (x,y)¬(0,0) x2 +3xy +y2

A: It given function fx,y=x2x2+3xy+y2. When x,y=0,0 in fx,y=x2x2+3xy+y2 will result in 00. Set the…

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A: We have to graph the function first

Q: -1 sx3 O A) -0 O B) -1 O C) 7 O D) Does not exist

A:

Q: nd the limit. e3x p-3x lim x→0e3X - e-3x

A: on solving this we get the

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A:

Q: 4x2+5y²+- lim (x,y)→(1,-2) 4x²-5y2+e

A:

Q: Find the limit: -3t e to - 1 t10 – t9' 2+ t -5 lim( t t→0

A:

Q: Find lim 4(x) (x) / X-0 x 2. Prove that B(m, n)

A: Limit of the bessel function

Q: Consider g(x)=−7x3+7x2+9. a) limx→0−g(x)= b)limx→−1−g(x)= c)On what interval(s) is g(x)…

A: It can be solved using the limiting definition of continuity

Q: Forf (x) = 2x +2, compute lim ƒ(1+h) –f (1) %3D f(I+h) -f (1) lim h>0 %D h

A: Given : fx = 2x+2

Q: Evaluate the following limits.

A: