noad Engine dz, C |z-il=2 (d) 군 (+1) dz C:|2| =2

Q: M. y dV, where E- {(x, y. 2) | 0 x* 3, 0 yx, - yEs+y}

A:

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

A:

Q: Find r'(t).

A: We have to find r't: rt=4ti+t2tj+lnt2k We know that dxndx=nxn-1d lnxdx=1xd lnfxdx=1fxd fxdxdxdx=12x…

Q: w = 4x + y² +2²³₁ x = ers²₁, y = 1 y = In(r+s).

A:

Q: - 5y = 2(x+ c)², dx

A:

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

A:

Q: 3-Evaluate Fdr where 2X Cisgiven by rit) = t3+U-3t)rék

A:

Q: - y² + 22 = 169 at (5,0,12). %3D (1) . i+3 3 3 -) i+ k, 6. 12 12 =) i+k, (d) k. i+

A: In this question, the normal to the curve is calculated using the finding gradient of the function.…

Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.

Q: If x"y" = (x+y)** ソ-0 m+n m..n Then, P rove that dx²

A: I use logarithmic differentiation with logarithmic properties

Q: (v) er-y de +e**"dy = o

A: We will solve the differential equation by the method of separation of variables.

Q: 2. y" – y – 2y = 4e¬t %3D - -

A: Solve the differential equation

Q: dy If y = V2-x, then find de 10. A 2-x 1 В 2/2-x 1 C 2-x 1 D 1.

A: Given y = 2-x we have to find dydx.

Q: Hawis Find d Vand V2if vI+2V2=31-k and 3V-V2 si+j+k

A:

Q: dy Use separation of variables to find the general solution to dr + 4xy? = 0. %3D

A: We have to sine given differential equation using seperation of variables

Q: If WZ = 68 and UV = 94, what is XY? %3D V W Y U Z

A: Given ,  WZ = 68 , UV = 94  We have to find XY

Q: ux.ュメトXス1いスコ-Y Palx, utェッズ)-。 入2コメ; +メュ-」+5- メレ 2 d、しズuメッ]= xit Xzメ]-6 fnd in Ganeral rm.

A:

Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

A:

Q: D = {(x, y) E R² :0<x <∞, 0 < y<∞} olmak üzere, [ rye--v°dA D.

A: A multivariable function f(x,y) is a rule that is used to associate a number or quantity with a…

Q: Solve : dy- (- y) . Inn dy %3D ,13-1 Ordinery Dibberential equetion.

A: Solution:Givendydx=(1-y13)x2 ln xy13-1

Q: ize P= 3z + 4y E to 21 + vS 16 27+ 3y S 24 z20, v 20

A: Introduction: Linear programming is the most basic method for optimizing a problem. We can use this…

Q: Evaluate..(x+.2.y.)dA..„.where.D.is.theregron. sunded. by.the.paradoolas.yz2x.and.y..l+x. 2 2

A:

Q: ン Frnd in side r=2 inford quarler aren aul sde r= 1+s6

A:

Q: r In y dr, where D is described by 1 < r < 2, e <y<e aD | V1 +r² dy, where D is described by -1<r<1,…

A:

Q: Sf(x)dと SgCx)dx, suppeat 9 Explain why SfC dx 7 goa) Counter ekample to やU8e a your claim .

A: Use substitute rule unless the integral can be simplified and directly evaluated. Counter example is…

Q: Hi W. Solne : du 니 メ Uco,y) = 3ē_ = 34 ニ e | dy Xープ Ans./ ucx,y) = 3 e (2x-5y) 131

A:

Q: dz, C:z| = n. %3D 2++13z2+36

A:

Q: Q3:A/ Find: dy dy y 2 Vy (1 + Vý)² yV4y? – 1 |

A:

Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: dy 5t vi (In(t) + 1) Vi dt

A:

Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: dz wher the integral fe z2 +9 C = 4 is

A:

Q: dy de y =(x-1)(x+1) If x=3 equals ? then

A:

Q: Frd he e of teepkan in the at quectert baurded on he let ty he ydx, bebw by tte carve x- boletby…

A:

Q: Show for Re(2) > 1 ez - 1dr = r'(z) 5(2). %3D 0,

A:

Q: ON 7 e the double integral || (8x+y)dA R rectangle R = {(x,y) : 0sxs5, 1s pe only the final answer.

A:

Q: Supposo that | FC) dx =13, fい)n -23, and gla)dx=35 2. fCx) drx = こxp(の J3fa) dx= C+fし),33J- 2.

A:

Q: dy If y e+14 then- dz 70e+14 O6e+14 D 4ez+14 O 14ez+14 5ez+14

A: Given, y = e5x+14  We have to find dydx

Q: %3D 23. f(x, y, z) = 2x + z? subject to x² + y? + 2z? = 25

A: Lagrange's Multipliers: The Lagrange method is used to maximize or minimize a general function…

Q: 7 dy (18a* + 16e5)', find da Given y = %3D

A: It is given that,

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

A:

Q: I For flay 2) = Vxy?z +4x*y, xy,?>0, compute and

A: Both differentiation are solved.

Q: - a. ARWZ W WZ RW b. ? ZR %3D c. RW = 15, ZR = 10, and SZ = 8. WZ 2 and RS = ? R

A: Given, ∠WRZ=∠WZS

Q: 5) *=ClSln t ,y =4 csst t=-2 %3D a) determine dy b) and graeh

A: we have to find derivative

Q: SOlve the inihal problenm. shouid be in Porm y=--. -3 dy = (38t+51) dł Y () =0 %3D

A:

Q: %3D18 SK+y%= {x-zy=9 11

A: Given query is to find the solution of the system.

Q: f (г, у) — In(ax + by) a, b ER af Land 1 Find Ja 2. Find and a f -and 3. Find dxðy дуда

A:

Q: 523 + 222 – 5 y = dy then dz 3x + 2

A: Consider the provided equation, y=5x3+2x2-53x2+2 Find the derivative of the equation with respect to…

Q: Q2: Given y = f (u) and u g(x), find dy/dx: y = 2u3, и %3D 8х — 1

A: Differentiate