3X бх+2—2е lim х 30 5х2—2х3

Q: 3tan z sec? x dr 2.

A:

Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: If y=sech (kx") and (

A: Given,       y=sech-1(kxN)   and (1-289x10)(y')2=Ax2

Q: from y = ae + be %3D 2.

A: y=ae4x+be-4x ....(1) Differentiate both side w.r.t x dydx=4ae4x-be-4x        ....(2) From (1) and…

Q: y2 – 9 lim V 2y2 + 7y + 3

A:

Q: 2 2 dydx Әхду

A: Given: h(x,y)=4xey+3y+7

Q: ☺ cosh"z= Loy {2+/2

A:

Q: 2y³ + 5y² -7 2- lim, c∞ 10y3 - 9y+12 0.1 0.2 O 0.4

A:

Q: 2x*y lim (л, у) -> (0,0) х8 + 6у2 6y2

A:

Q: 2z 4z +9 Find lim, oo 00 3z2 8

A:

Q: Show that $) it gly) 1-y 2

A: Recall: The domain of a function is the set of all possible inputs from the function.

Q: x+ y+ 2z=9 2x +4y - 3z = 1 3x +6y-5z 0 [1 1 29 2 4-3 1 3 6 -5 0 to the cecond to obtain

A:

Q: ( + 1); lim y 12y + 5)(5y7

A: The limit of the function at a point 'a' in its domain (if it exists ) is the value that the…

Q: /2x – y – 2 (b) lim (2r – y + 4) (1,y)-(2,2) 2x – y – 4

A: We can directly put the value of (x,y) if denominator is not becoming 0. Or else, we can choose a…

Q: dt 22. lim is x2 - 16 x-4 (A) – el6 (В) 2 e16 (C) 16el6 (D) nonexistent

A: Given: L=limx→4∫4xt2et2dtx2-16 For evaluating given limit, we use L hospital's rule According to L…

Q: on of y" – 2y' + 2y =

A:

Q: X, t 2 X, < 22 X,t 3, 2x x, Z12 + 2xa=32 maxlimzed by 2=5x, t10x2

A: The solution of given linear programming is given by using graphical method :

Q: f'lx) = lim - 2x + 2x %3D (X+Xxj? 2

A: To solve lim∆x→0-2x+2∆x(x+∆x)2, plug in the limit and obtain -2x+2(0)(x+0)2.…

Q: 2 Find dyif y.+3x-7 and x =, 2t +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: Q2: Evaluate: 1 2 In cosy, [1] limy-o 7 + y4 'y2

A: Given, limy→01y2+2lncosyy4 now solve this limit limy→0y2+2lncosyy4 apply L-hospital rule…

Q: +1 limx0 t2+1

A:

Q: 22 – 4z + 4 Find limz→2 z2 – 4

A: limz→2z2-4z+4z2-4     =limz→2(z-2)2(z+2)(z-2)      =limz→2(z-2)(z+2       =2-22+2        =04…

Q: Determine the 3z 1 2x 1 2x 5 lim 00 O 00 2/4

A:

Q: If y = sech (kxN) and (1-289 x26 ) (y')² = A Then A =.....

A: We know ddxsech-1x=-1x1-x2 By chain rule ddxsech-1f(x)=-f'(x)f(x)1-{f(x)}2

Q: z = 6x + y2 tan 4

A:

Q: If y = (x+1)/(2x - root x' then y' will be?

A:

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: de 4 V4x* +3 lim 5x +4

A: Divide the Numerator and denominator of the given expression by x2

Q: a +b° + c° limy- 3 8.

A: the given limit is ,                     lim(x→∞ax+bx+cx3)1x in order to find the limit first take…

Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

A:

Q: (e) lim V9r2 +x-3r %3D

A:

Q: 3)으 rcose de Jsine 1-x2 d ¿= xp 2

A: LEIBNIZ RULE

Q: suonenba 5x mons: (1) +- = 3x + 3 (ii) x + 7x + 12 = 0 In (x +4)- In (x*) = 4 = 15 (iii) %3D (iv)…

A: Simplification

Q: Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4х1/4 ii. Lim х+5+ (2х — 1)1/2 — 3 х — 5

A:

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: Given, The line is perpendicular to 5y=2x-6 and It is passing through the point (-1, 5). Concept…

Q: Evaloate using Alapbraic substitution x²-1

A:

Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: 2 lim y→7L_– 4y – 21 3y Зу — 17у — 28 -

A:

Q: Evaluate the following integrals

A: The given integrals are,

Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: Find: TxTyrTxyjTzy 下x TメッTxx,Te Tez デツッこ,四己 ーXそ

A:

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

A:

Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

A:

Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…

Q: V6 - V5h² + 11h + 6 lim h

A: Given Data: Limit: limh→0-6-5h2+11h+6h Multiply and divide the limit by 6+5h2+11h+6.…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.