O Find reve y (z 3hax

Q: Y Find det A 1SA - TAI = T.

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Q: Evaluate: īdz when C Is the right-hand half:z =

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Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: Find the value of z if A (Z z) = 0.2502 and z is positive.

A: We need to find the value of z if AZ<-z+AZ>z=0.2502 and z is positive. We can rewrite the…

Q: Ex , Prx , fy, fyy, Pxy, fyx F(X, y) = %3D x +y

A: Given: f(x,y)=1x+y

Q: For yx + 2x + cx = 9 ,m = 3,Find c at (3,1)

A: Given y2x+2x+cx=9 . m=1. We need to find c at (3,1).

Q: fird the slore mand a Of the huchon R at the s 3, aty M=

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Q: Find the value of c such that S xe = 3.

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Q: O 2y = x In cx?

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Q: r?= x? +y' Find dy

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Q: cle below, suppose m JIL =274° and mLIJK=111°. Find the follo J K (a) (b)

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Q: f(x,y)=ylnxsinx, find fxxxxxy(π,1). Keep your answer to 3 significant digits.

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Q: Find ▽ x (▽xF) if F(x, y, z)=10xy j+ 10ryz k.

A: The value of ▽ x (▽xF) is (10 + 10y)i + 10xj + 0k

Q: dz where C is the bo + 6)

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Q: y z = x + show that : 0.

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Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: Find he value of ds/du at u = 2 if s t2 + 5t and t (u? + 2u)/s %3D

A: Here, s=t2+5t and t=u2+2u13 So, s is a function t and t is a function of u. At u=2, t=(4+4)13=813=2

Q: dz If z(x, y) = x²y, æ = 4, and y = u³ v², find du

A:

Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Find o"(x + In y) dydr

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Q: Evaluate o y dæ – x*dy,

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Q: dy Find if y= e©o0s4z dz 4sin4x. ecos4z None -4sin4x. e³in4z -4sin4x. ecos4z

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

Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: Find the exter ma Fr xy)= x² +y?- xy

A: This is a problem related to maxima and minima of the function. For calculating the critical points…

Q: dy Given y= In(lnx³), Find dr

A: Here we use the formula:

Q: Suppose V ~ Geom(p) withp=0.04 and that W = 2V. Find P(W > 8), giving your answer correct to two…

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Q: O Evaluate, (a) / 3y* In (y) dy

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Q: ds Find dt S=- 3tan t-et

A: Given, s = -3tant -e-t   We have to find the value of dsdt

Q: b) y= In( see x)

A: Answer and explanation is given below..

Q: If y=e"Inx, show that x (1+x)=0. dr

A: Given: y=e−x.lnxShow  that:x2d2ydx2+dydx+e−x(1+x)=0

Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: Let z = 3x*y, find Vz.

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Q: xy Let z . Then: 4x2 – 5y? | az dz ду

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Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

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Q: find he querage vallwe of he fanction z-cor ox m De mternal ( )

A: fx=x-cos26x,   0, π6.

Q: y"+ay'+sy= ーア e'sent y ro)=0, yto) = 1

A: Given differential equation is y''+2y'+5y=e-TsinT y(0)=0 and y'(0)=1 yT↔Ysy'T↔sYs-y(0)=sY(s)

Q: : VERIFY USING CONVOLUTION 5(s? t1)

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Q: Identify the secant: H/ BA C F O Line DF O Line HG O Line AH Line BH 7.

A: A secant is a line that intersects a curve at atleast two points. For a circle; if a line cuts the…

Q: Find f f'Lx) = ZR? +aX-S and %3D to FlO)=4.

A:

Q: 2. Find the following. 5 – xy? Zy if z = 3x + Y

A: For a function in two variables, the partial derivative with respect to a variable say x can be…

Q: If z = xe", then dz = (e)dx + (xye )dy. Select one: OTrue OFalse

A: The solution is given as

Q: Evaluate G(x,y)dy , if Gx.y)=2xy ,x 5cost ,y 5sint ,0stsm/3.

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Q: Find dy/dr if y = r In(x). Answer:

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Q: For x=In /t y=2, find y" when

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Q: d' y Let y? 4x, then dx %3D

A: given  y2=4x differnciate with respect to x 2y dydx=4 dydx=42y=2yagain differntiate with respect to…

Q: Find fx, fw , fyx and fy if f(x,y) = y cosx + x sin y

A:

Q: f(z) =z? is discontinuous

A: f(z)= z2 is a polynomial function in z and polynomials are continuous everywhere.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.