find dy ny the Chaenin Rult yz tan u and UzJxz+5

Q: dw If w = x'y sinz - 3zexy, find dz O a. dw =x?y cosz - exy dz %3D O b. dw =2x2y cosz -exy dz Oc. dw…

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Q: · Find fF · dĩ for F = -yi – 4x j+4zk if C is the helix æ = cos t, y = sin t, z = t, for 0 < t < 47

A: Given F→=-yi→-4xj→+4zk→

Q: Hw. Determine t posdise red nd d. Sinx a x 2 In(X):07, de. os, Xa. 2, 3-tealion by e position fndla)…

A: NOTE:- By bartleby rules, only question (1) is answered

Q: Let Z=ellxy-56y and x = 56t6 + 6 and y =sin(s + 56). Use the dz дz Chain rule to find and Ət - ds

A: Given: z=e11xy-56y, x=56t6+6 and y=sins+56. To be find: ∂z∂s and ∂zdt. Formulas used:…

Q: If z = æe", then dz = (ev)dx + (aye) dy. Select one: OTrue OFalse

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: dy satisfies dx? 2 iven by

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Q: find the geeral aluten for d'y dy du Ay= eax (1+u*) du2

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Q: O(y-+ rycota)dr + zdy O (coszcosy– cotz)dr sinrsinydy 0 O ydr + (3z -g')dy = 0

A: A differential equation is called linear if 1) every dependent variable and derivative involved…

Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: suppose that w = x² + y2 + z2 x = cos) y = sin) z = tanOUse the chain rule to find dw V dA ! dw dy ,…

A: topic - derivatives

Q: So Simz So e" dz dy dx uate: e + Vē – 1

A: Please refer to the image below

Q: If u=x2y+y2z+z2x then show that du/dx + du/dy + du/dz = (x+y+z)2

A: Given u=x2y+y2z+z2x. Find dudx as follows.…

Q: - If x=sect and y = tan t, evaluate at t of the following: 4. dy (a) dx d y (b) dx?

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Q: Given z = 18 In(t) and y = 324 t2 then find dy dz dy da?

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Q: - Evaluate the follwoing | r" exp(ax")dx where a + 0 and m+l = 1, 2, 3, ...

A: Given integral is, ∫xmeaxndx Substitute, u=am+1nxm+1dudx=m+1am+1nxm+1dx=1m+1am+1nxm+1du Then,…

Q: Find u+ Hy:given that u(x,y) s tan(x+ux+ 11y") 11- x2-y?

A: The partial derivative of a multivariable function with respect to a variable is the derivative of a…

Q: π/3 So, f²ef/³ t In u tans ds du dt

A: Given problem:-

Q: (a) Let I = dx. Show that I² = dx dy. R2

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

Q: dz Find- at t = n, if x=21sin' 12t + 170, z=19cos12t +190t . %D dx

A: The value of sin (npi) = 0 We will put t=pi in dz/dx

Q: dy Find dz If ze" + (Inz)y + y? = 3

A: Find dydx if xex+ (ln x)y +y2 =3 We will differentiate terms and then sum them up. So, ddx(xex) =…

Q: Find e + Uy, Given that u(x,y) tan(x+11Xy+11y") .t/ - *א- w

A: Given ux,y=tanx+11x2y2+11y411-x2-y2

Q: 1 Suppose z = In(6q) and q = Vu +4 tan¬(3u). Find dz/ðu and dz/dv when u = ÷, v = -3. 3

A: Given data: The first function is z=ln(6q). The second function is q=√(v+4)tan-1(3u). The value of…

Q: Find the general soulution dy/dx=3y

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Q: If W = xy ++1 azw Show that дхду ey a2w %3D дудх

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Q: 6. If w=xy + yz + zx. x =r cos0, y = r sin0, z= r0, Find dw/dr, dw/dO, when r = 2,0 =x / 2.

A: Answer

Q: Find the value of ds/du at u = 2 if s = t^2 + 5t and t = (u2 + 2u)^(1/3).

A: Find ds/dt from s=t^2+5t

Q: dy 3) Determine the of : In (ху?) %3D х у dx

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Q: C) Find a z and of xy" ay (xy2) - -군3 COs %3D

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Q: dy IS let y = (cos r)m " then de sin z

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Q: T/2 T (² cos 2y + 3y° sin z) dz dy . Evaluate -1/2 Jo

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Q: Use Green's Theorem to evaluate ya dz – x dy where C is shown below. Left Half of (0,5) x*+y = 25

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Q: Assume w = ts³, 4ts) and (x,y) = 6xy of (х.у) - 4х Find as when t = s = 1 %3D

A: Given: From the given expression it is clear that 'f' is a function of 'x' and 'y', and 'x' and 'y'…

Q: Given z = 15 In(t) and y =225 t then find dy da dy da?

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Q: Find the G.S.of the DE. (ytu dy=D0

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Q: Find dy du dy and when y and u are defined as follows. du dx dx y = 3u² + 6 and _u = x² + 2

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Q: ди ди then x +y = u. 31. If u = Jy² - x2 sin-

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Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: Given z=3 In(t) and y=9t² then find dy de dy da %3D

A: We use parametric differentiation

Q: s zy dydz こミ0

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Q: dy (a) Find if y = (In x)=². dx

A: For (a), dydx=lnxx2'       =ex2lnlnx'        =ex2lnlnxx2lnlnx'        =ex2lnlnx2xlnlnx+xlnx…

Q: If u=lx+my and v=mx-ly,show that 1? + m? ди ди 1 + m?

A: Given  u = lx + my v = mx - ly

Q: Given z 15 In(t) and y= 225 t then find dy da dy dr?

A: Given that: x=15ln ty=225 t2

Q: - Find + Uy, Given that u(X,y) tan(x+11XY+y")

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Q: when y and u are defined as follows. y = 3u2 + 7   and   u = x2 + 9

A: Here I am attaching image so that you understand each and every step.

Q: Given z 8 In(t) and y 64 t2 then find fip dr dy dx2

A: To find: The value of dydx and d2ydx2. Given: The equations are x=8·ln t and y=64·t2. Formula used:…

Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: Evaluate ∮C(yexy−sinx)dx+ (xexy+ 1)dy where C is the path r(t) given by x=t,y=π/2(t−1)2 from t= 0 to…

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Q: dy If y = e" In(u) and u = V1-x2, Find dx

A: y = eu ln(u)       and   u = 1-x2 dydx = ?