1 2 1 + lim Р-(-1,2,0) х- 2 у -5 z+4 II

Q: 13 + 6х + 7 (а) lim Зх - 8 1 (b) lim 3 (т — 3)2 1 (с) lim +5 5 - х

A: As per the instructions, we will be solving only the first three subparts. For (a),     limx→∞…

Q: 1. The vector X = k is a solution of x - (: -)x-G) 8, X' 2 for k = Enter only the value of k.

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Q: lim ao lim a1 = 0, %3D n-00 n-00 -2p lim Bo lim Bi n-00 -2p lim yi = lim yo = n→00 lim 8o = lim 81…

A: Given,                                       en+12=∑γii=11en-i1+∑δii=11en-i1where…

Q: (6,5). (1.4) (-4,2), (6,2) -2 6. 8 -2 9(1-2) lim f(z) = I4-4- -4 00 4.

A: Given the above figure. To find limx→-4-f(x)

Q: iz³+1 lim z--i z²+1 3 2 ylgn ihi

A: Finding the limit by l'hospital rule

Q: 1 1 lim v→s(vー5 ビ-25 v² - 25, 2 lim w→ -1- 1-w W-3

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Q: 1- 13 – z lim Z→2 Z- 2

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Q: [0 1 If A= find x and y such that (xI +yA) = -1 0

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Q: 2 z² +4 lim z 2i 2z²+(3-4i)z-6i

A: L'HOSPITAL RULE. L’Hospital’s rule is a general method of evaluating indeterminate forms such as 0/0…

Q: lim (1,y) (0,0) (3 + (2² + y²) In(æ² + y?)) O 00 O 3 O does not exist 0 1

A: To find : limx, y → 0, 0 3 + x2 + y2 lnx2 + y2

Q: 2cosh (z) – z- z2 lim 24 12 1 3 1 12

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Q: X - 3 in x2-4 (-00,-2)U(3,0) .a (-2,2) U (3,0) .bO (-0,-2) U (2,3) .cO (-2,2)U(2,3) .d

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Q: 2+i3 Evaluate zdz along the following paths- 1+i2 (a) horizontally from 1+i2 to 2 + i2 then…

A: The objective is to slove the above questions.

Q: 2 i (z-i) lim z→i z2+1 1 O 2i 1 -1

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Q: lim I→0 √2+11-√11 I

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Q: 4 2 y = x +x - 9 y = -x Symmetry: Symmetry:

A: Definition used  -               Symmetry about x-axis -                If point (a,b) is on graph…

Q: 24. lim (Vi-1,,1).

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Q: Corners of Fundamental Rectangle 10.    x^2/4-  y^2/49=1  12. (y-4)^2/64 -  (x+1)^2/4=1

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Q: 2 i (z-i) lim Z. z²+1 1 O 2i 1 - 1

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Q: 2 4 1 find A-l by the cofactor r 2. If A =0 1 0 0 4 - 3 such websites.

A: Introduction: Step 1: compute the Matrix of Minors, Step 2: Convert it to the Matrix of Cofactors,…

Q: limtt 2 +z+1

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Example 5.8. Solve du 0 0, ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1,t) =…

A: To solve: ∂2u∂x2=∂u∂t, 0<x<1, t>0 And, the boundary conditions are: ux,0+=fx, u0,t=0,…

Q: X SC Y= SC XiVi X? 10° 0.14 0.2 0.028 0.0196 200 0.45 0.8 0.36 0.2025 30° 1.2 1.7 2.04 1.44 40° 2.1…

A: Linear regression is the modelling of the relationship between two variables by a linear function or…

Q: 12. 13. 14. √2+6-√√6 Т lim I-0 LIMIT VALUE: lim 2-1 LIMIT VALUE: Т lim 3 2-8 V 11-2z LIMIT VALUE:…

A: limx→a f(x) =L if and only if limx→a+ f(x) =limx→a- f(x) .

Q: S 1. lim 2 I- I - 2 1.9 1.99 1.990 2,001201 | 21. 12 2, lim 19 1.99 1.999 201 1211

A: Please see the explanation below

Q: 3n · (2n)! br Determine lim bn 2(2n + 1)! n→∞

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Q: lim (2,y,2)(-1,2,-3) 2x – 4y - 3z = -1. %3D

A: Given, lim(x,y,z)->(-1,2,-3) 2x-4y-3z = -1

Q: z+3 lim- %3D iz Z+2

A:

Q: lim (7,y) (0,0) (4+ (2² + y²) In(x² + y?)) O 00 O does not exist O -0 O 1

A: Recall: Limit of two variables : Let f be a function of two variables .The limit of f(x,y) as (x,y)…

Q: limtt 2→e 2"+そ+ 2- limit (22+1)(2-1) 2っ2 -22+4

A: See the attachment

Q: 2+13 Evaluate zdz along the following paths- I+i2 (a) horizontally from 1+i2 to 2 + i2 then…

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Q: A = lim %3D i = 1

A: Given that: The equation is f(x) = x 2 e x  ,     0 ≤x≤3 .

Q: 17 . A square piece of tin of side 24cm is to be made into box without top by cutting a square from…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 i (z-i) lim z →i z²+1 1 2i -1 | 1

A: Fourth option is correct.

Q: 2 i 2 3 4 5 6 1. lim, - f (x) = 2. lim, 2+ f(x) = 3. lim, 2 f (x) =| 4. f (2) = 5. lim, 5- f(2) = 6.…

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Q: 8. 10. 11. х2+6х-7 lim x →0 —х2 +7х -12 lim x →3 lim (3x – 2) x →3 - х-3 х-1 15. 13. 14. 2х3_54 -4…

A: Given that some limit problem and we solve this problem by using general property of limit.   Here i…

Q: z²+ 1 lim ミ→i 24-1 i O -i O 1/2

A: To evaluate the given limit.

Q: 2つi 2×+1 Find Lim レ わサズ

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Q: 34 PM 2022- point (-1, 24) is a) y= -3(x- 1)2(x - 2)?x2 hot 12 PM 2022- Sc Oc) y= -2x(x- 1)2(x - 2)…

A: Given query is to find the equation if the graph.

Q: iz³ – 8 lim z-2i z – 2i II

A: Topic:-  limits

Q: I-1 lim I→1+ Vr²–1

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Q: u + 4 lim u--4 u3 + 64

A: First simplify the given expression then  calculate the limit.

Q: iz3+13 lim z--i z2+1 2

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Q: z3+1 lim i z+1 z-

A: Note that, we solve the value of limit for following indeterminate form:    →00    →∞∞    →0×∞    →∞…

Q: 1. lim 目 2+1 is 2.

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Q: х2 — 25 а) lim x→-5 х2+ 2х - 15 х2 — 4х — 21 b) lim х>-5 Зx2 — 17х — 28 х2 — 2ху lim c) (х,у)-(2,1)…

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Q: 1 (iii) lim I-bt 6 – x

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Q: 2 -z+1-i Prove that lim =1- :l+i z- 2z+2 2

A: solution is given below

Q: 3 1+ 3z lim 1+ 4z + 3z4 z→1

A: