Find the in tervals on which f hure (il In creasing and decrensing Con cave uP and con cave down and the X - coordina te o Fall crisical and infVec tion Poits Y= cosX, 2M

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: find the derivative of he functions fro cosco")

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Q: A vehicle at is masing giren by Phe equation the morir alocity Vz SCx*+4)/8 . find Peitinn at if…

A: Given: v=5x3+48, P2=252

Q: Let 2 sinx+7cos y = 6. dr

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Q: Obtain a-(In x)? dx.

A: Given,  ∫x-5(lnx)2dx

Q: 3. Show Dat where re frenction s Centinueas? X+ y+2-H

A: In the given question we have to check that where the function is continuous or not and the given…

Q: Evaluate COs dx

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Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

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Q: OL. If w = f(u, v), u = cosx and v = sinx, show that: (30 Marks) %3D d?w dr v² fau + u?f- 2uvfuv -…

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Q: Calculate for w = xyz. By

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Q: 4 cos z Evaluate S 16-y2 ydxdydz

A: To solve the given triple integral ∫0π∫04cosz∫016−y2ydxdydz…

Q: What is the difference between dy dy and Ay Use an example y = 4x?+ eX to under stand. 4x2+ ex

A: In the given questioin we have to tell about the difference between dydx,∂y∂x and ∆y∆x. first we…

Q: Serp 40 Evalute f ff8esin ddado

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Q: 2. fote-t² dt

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Q: Q1. If w = f(u, v), u = cosx and v = sinx, show that: d?w v2 fuu + u² fov – 2uv fuv - ufu - vf dx2

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Q: 1 Find the Nahee af the falloding in togreals's Jet X+1 3. 8. +3. -4+3 da -2 2 JX -9. 2. Lett-lx 9.…

A: You don't mention which question i have to solve. And you already solved them. I go through all the…

Q: dz dz and ду Suppose z is a function of r and y, and tan Vy? + x2 = z"e6y. Solve for

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Q: 2-2x find (fif) G) to use f Cx) = x

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Q: Suppose Hx isa one-to-ens tunctien auch that f-3)-5. Which of the following tacts must be trar?

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Q: If fuf fuare difla Veubableat XoeI n prove thacd Cfisfa fu) isclifferantiable at vo aucde.

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Q: 01. If w f(u, v), u = cosx and v = sinx, show that: d'w dx2 = v? fuu + u? frv - 2uvfur - ufu - vf,

A: Given w=f(u,v), u=cos x and v=sin xso we see that dudx=-sin x =-v   and dvdx=cos x=u.By chain rule,…

Q: Let f(x.y) = In (x³y) . If f(6,2)=f,(5,a) what is the value of a? O a 1 O b. -1 Oc. 0 Od. 2 O e. -2

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Q: Q2. If w = f(u, v) , u = cosx and v = sinx, show that: (30 Marks) d?w = v? fuu + u² fvv – 2uvfuv –…

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Q: When can we apply the Green's Theorem to compute circulation in R^2? O Curve C is simple and closed…

A: Note that Green's theorem works only for the case where C is a simple closed curve.  Further notice…

Q: for Exafind

A: Given  y=5cosecx3 and y=3(x2-e6x2) we have to differentiate these functions .

Q: The domain and the range of z-cosh are represented respectively by D-(.)ER XR:20 and R= ( - c , 0 ):…

A: Use the following definitions, to obtain the solution. The domain of the function y=fx is a set of…

Q: If f(x.v) = In) find 2y. дхду O a. 0 O b. 2x y Oc -1 Od. d. -2x

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