all Cany )eR?. Ex ercise:- ilay) #(o,0) ,(mig)=(0,0) show that f x nd fy exist. for TSn't Cond at Co,0) ( din flaiy) # f Co,0)) show tha f

Q: ).) Evaluate fxy (-1,2) Given that f (xy)=X Iny. %3D 2) Evaluate fy (23,0,3) for the puncfion…

A:

Q: The interval, where the IVT will be verified for the equation f(x)=sinx-xcosx is a) (1,2) b) (4,5)…

A:

Q: Q7 Show that CX,y) =e is Condinuous at co,0)

A: The given function is:  fx,y=e-x2+y2 The given point is 0,0

Q: 28) To evaluate S dt we could use the substitution a) t = sin(u) b) t = tan(u) c) t = sec(u) d) t =…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: 2 cos Ø sinotos"0 csc0 Reuorite the expresson as a single triganometrie function whose anqument is…

A: Given: The expression 2cosϕsinϕ+cos2ϕcscϕ, To simplify: The given expression in term of one…

Q: Find the derivative of the function. y = sin-(6x + 1) y' =

A:

Q: r) x²(esinx) s) e*[ln (cos x)] (m sin 3x t) e2x x COS X u) ex リこ Sm

A:

Q: Let /- a 8 ddydx Our aim is to write an equrvalent triple integral in spherical coordinates…

A:

Q: Cos X. is iF C3)?

A: Given,            Consider the function Fx whose second derivative is F''x=18x+3cosx.           Also…

Q: x³y' +3x?y" +xy' +8y=xInx Select one: a. YG.S +x(c2sin3lnx+c3cos3Inx)+x ( Inx -) - Inx: b.…

A: Given equation is  x3y'''+3x2y''+xy'+8y=xlnx            (i) Let x=et. Then…

Q: Q2. Consider the ODE Using u = y ¹, we get A) u' - xu = sin x B) u + 2xu = - 2 sin x C) u + xu = sin…

A: The given differential equation is       y’ - xy = y2sin x    . . . . . . . . . . . . (1)    Now, we…

Q: 1. Fin d fx) for each of th FunCtions. 54ow your work,Gut you notneed to simplif y answer Sint PartA…

A: A)f(x)=sin xxusing quotient rule;f'uv=v u' -u v'v2u=sinx, v=xf'(x)=xddx(sinx)-sin(x)ddx(x)x2f'(x)=x…

Q: of Then x y

A:

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

A:

Q: Suppose f:R-IR is a diffeetiable function which satısfies flo) = 0 We wart to show f': IR → IR is a…

A: Given that f:ℝ→ℝ is a differentiable function which satisfies f0=0. It is required to show that f' :…

Q: cos ax -dx = re¯ª,a>0. .2

A: With the help of Residue we can prove given result:

Q: let Po)- tar'c) + tant (L). show that Plx)=C,where cis a constant and then Aind C

A:

Q: Evaluate ſe* 2x cos 2x dx cos 2x a) 2esin 2x + C b) -+c 2 c) ecos2x +c sin 2x e d) – +c

A:

Q: appropriate formula for 9. What is the f sin7 x cos x dx ? A) sin x cos x dx | cscx cosx dx B) C)…

A: We have to find solution of given indefinite integral.

Q: 1. Determine (i) |cos (2x– 7) dx dx (ii) x +9 (ii) dx 4-9x² 2. Determine (sin x cos x dx using (1)…

A: Since, you have posted multiple questions we will only first question with three subparts as per our…

Q: The first derivative of the function y = 4*.32x is: %3D a) 4*.6* In 36 b) 4*.32x In 4 + 4*6* In 6 c)…

A: given y=4x.32x

Q: 8z Find where z = 4 sin(xy), z = te58, and y= 105-1088 dt O O O O dz = 4(10t5-10s8) cos(te5s…

A: We have to find  using given data.Concept required:If  then while finding we will consider  as a…

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

A:

Q: < sin!!), w5"1)? aiong.seni-circle. 4) Work done by o trom tJ5, 1) to' (-3,-1) t radius 2 · 个。 3+1…

A:

Q: Find f") if Aa) - (V 1)(x* - 1). %3D O a) -4 O b) 4 c) d) 1

A: Solve the following

Q: The domain of the function f(x)= cos 8) is [84, 108 ] Then k =.... k Answer

A:

Q: Evaluate the following commutators:

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 子6)= cosz- Ga82-1., XE Co, 2T].

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Which of the following statements is TRUE about f(x)= |2x-4|? a) f'(x) = 2, for all x not equal to…

A: Given expression is  f(x)=|2x-4|

Q: c) If f(x, y)= e" cos 2x, then show that = 0.

A:

Q: Prove that Vtan a de – 7//2.

A:

Q: Let f(x) = |r|. The derivative of f at a = 0: Question 1. a) Equals to +1 b) There are infinite…

A:

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

A:

Q: Q25) ) Prave that tan'o = |- cos28 It Cos 2o Hene, fnd the escact value

A:

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

A:

Q: Q6A)If y = cos ¹) prove Zyy + z = 0.

A: See this solution in below