+3 fn d the deivotive of this funckio slape of the tonpent On d the line ot (4,1).

Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. af and off. af Use Chain Rule to find ds Write your…

A: Follow the procedure given below.

Q: Q4) ut A = :) al let fox)- 2x_4x+5 and g(x)= x?42x + 11, Fiind + 2X + 11, Find @ A ; DA ; © PCA);…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: tet z lbe defined implicity as a fyction of Ÿ andy by the equatioy ) ē+ coscxy) = (4-32)(2+28) 9. |…

A:

Q: 2. Find t+2 dt check your result by differentiating

A:

Q: Find curl (6z i + 7x j + 8y k). curl(6z i + 7x j + 8y k) = ( i )i + ( i )j + ( i )k

A:

Q: Find the ex+reme Values of the Saunction ww.. qnd where the inter Uals on tch which .ww...…

A: Solution

Q: X,X, X3 R.S. T3 %3D Bind dis tribution of Xo

A: Solution

Q: Suppose that f(x, y) = e-2r² – 1y² + 2x +8y then find the discriminantD= faz fyy – fay- Question…

A: Solution: The objective is to find the discriminant

Q: Consider f (x, y) = 5xy+ 7x³ + 10 a) Find f- (x, y). b) Find fzy(T, Y).

A:

Q: using Runge xy' = y lnx, y(2) = e in the domain of [2,4], also find y(2.8), y(3.6).

A: Given, xy'=ylnx   , y2=e in the domain of 2,4

Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

A:

Q: Find y dy S using the substitution u +5=√√y+2. √y+2 A (√9+2-5) (5√3+2-1+24) +0 B (√y+2-5)…

A:

Q: [38] Evaluate f, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

A:

Q: Let A = {x E Z: 8x} and let B={rEZ:12lx}. Then * ACB ВСА None of these A=B

A:

Q: f(x,y) = x² + 3xy +y² fonksiyonu için fex (2,3)]. [fyy (2,3)] – Fzy (2,3)]? =

A: The answer is, (-5) The detailed solution is as follows below :

Q: Q3: If z = f(u,v,t) = Z 3u? + v2 ,u = tet , v= te-2t Then dz at (2,2,0) at

A: Topic:- partial derivatives

Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: Differentiate. V(t) = (t + 7e')/t %3D 3 7/)eIn(e) + v7 * V'(t) = 2

A:

Q: хр %3D S + X хр Find at (-7, 1) if xy: %3D (Rou

A: We have to find dy/dx   at (-7, 1)

Q: Comsder the qunchion g: [-3, 0) to R dezined! by gex = (x+3)?+s 'Fnd y guny pl and thoding its…

A:

Q: Find projy u. v = 7i- 3j + k, u = - 4j + 3k 105 O A. 45 15 59 '- 59 + 59k 60 45 O B. - 59i* 59k 12…

A: Given vectors are,  v=7i-3j+k and u=-4j+3k The objective is to find projvu Now, u·v=-4j+3k·7i-3j+k…

Q: Q3 dete rminio followfng polynemuals An the ghen polynemicd runy and Justify your ansucer whethes…

A:

Q: 1. Let T1,T2 : R3 → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) =…

A: Solution is given by using the matrix representation of given transformation as

Q: Ex8 Given : a =QV54 -424 +3 150 -556 ony b= 2150 + J72 -418+612 ) veri fy a = 86 andb1412 3. 2)…

A: Given data is : a=254-424+3150-56b=250+72-48+62 (1) To verify a=86 and b=142

Q: Eind maximao minima of and if 9x²-9 2. %3D b. fx 28-44 Describe your cning in reason ease

A:

Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Gy Let Px) = x²/3, x. thens Rx) = x2/3 ×シ。 then: %3D O Find ê cx) ? 2 Gruphs off R and f

A:

Q: Q3) find tne u bait ve ctor Pointing for ACe,3) to the (0,0)

A:

Q: Q8) Find the Linearization f(x.y.z) = x² + xy + yz +? at (1,1,2)

A:

Q: Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3)…

A:

Q: Q3: Find T, N, B, K and t for r(t) = (3csc³t · sinºt) i + (3sec³t · cosºt)j+ 5k

A:

Q: Fmd the General /Practical solution FOT the Following DTFFeren tiat eauation. 3x*dy + 4y²dx + xy…

A:

Q: Q3/ Find length of the cardioid r=a03from 0 = 0 to 0 = t %3D

A: By using length formula we find the length of given cardioid as follows :

Q: nd the linearization of f(x)= {Vx at c = 64. Use the linearization to approximate 64.05.

A:

Q: Find -3ay dA Over the D ewith daianguler region Verteies (0,0) 2, 0), 0,4) 8- 9. 8. -16 d 68 -68 16

A: From the given problem the bounded region is shown as below: Now find the equation of the line AB:…

Q: The ordeng and transportation Cost C Cin hundred of dollars) for automobrle dealership is modeled by…

A:

Q: Q.2 Let R = e2s-t2; s = 30 , t = Ø?/2 . %3D dR appropriate form of chain rule to find dø Use an

A:

Q: dy when t =7. Evaluate xp y = 2z? - 3z +5 x = 4t' +t t= z? +z+1

A: Given that,

Q: af Find and ax af Jy f(x,y) = e⁹xy In (3y) 11 for the following function.

A: To find the partial derivative.

Q: QY Use Gramer's Rule to Find K,y and Z -y-22 =-8 %3D 1 + 32 = 2 %3D 7X +y+Z = o

A: Craners rule used

Q: find where itosin.creasing and deveasing, also fî hl the glöbal maximcum and minimam.

A: Solve the following

Q: %3D If MZJKL = (8x- 6)° and mJML = (25x- 13), find mJML. %3D K J M

A:

Q: Q9. Find y2 using Reduction of Order y" – 3.ry +4y = 0, Yı 1 = x?

A:

Q: ust Check theat exut folbwing D-EV3 dbe uf 아 notp A). e B). - dt C)- 3e y-ax)+ e3x dy

A:

Q: af when s = 1,t = 1 for f (x, y) = x³ – 3xy - 6x + 6y ,x = 2t + s, y = 2s – t. a) Find as

A:

Q: Find df/dt using the chain rule and direct substitution. f(x,y) = squareroot(x2 + y2) , where y =…

A: Given f(x,y)=x2+y2   andy=t2  ,  x=t

Q: find equateons of the Jangent knes to the Cure. X-1 trat are fardllelb the line x-2Y=5 Smaller Y-…

A: