Determine s, t eZ where gcd(222, 921) = 222s + 921t.

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A: Given that F=y2, z2, x2 and the curve, C, such that, r=3cost, 3sint, 2t for, 0≤t≤4π. Differentiating…

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Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

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Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

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Q: Given F(r, s, t) =-r(8s³ +t³), compute: Frst

A: Given  Fr, s, t=-r 8s3+t3

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Q: Q3 Evaluate fII, xyz dxdydz, 3 < x < -2,0 < y < 1,0 < z S.

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Q: J) 11"+2 + 122n+1 divided by 133 , Vn E N*

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A: We will use polar co ordinates to solve the problem

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Q: f(z, 9) = 82" + 5y² + 4z°y+ e7=y of Calculate

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Q: Find H(−2) and H'(−2), where H(x) =

A: Here we have;  H(x)=∫-2xduu2+1

Q: Sll, dxdydz , where T: 0 < x < 1, 0 < y< v1 – x², Vx² + y² < z< /2 – x² – y²

A: we have to triple integrate using the given limits

Q: Given F(r, s, t) =r(3s² + 9t°), compute: Frst

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Q: 17. Find x if mRTU = 11x-7, MZSTR = 2x + 16, and mZSTU = 152°. w %3D S T. U

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Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

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Q: 522 – 7z+3 dz - 12 dt 15w – 13u? + w dw f) e) d)

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Q: Q.2 a- If w=xy+ find y2 +1 a²w a²w and дхду дудх

A: Solution Part A  Given. w = xy+eyy2+1  We have to find ∂2w∂x∂y   and  ∂2w∂y∂x

Q: If y = sech (kxN) and (1-289 x26 ) (y')² = A Then A =.....

A: We know ddxsech-1x=-1x1-x2 By chain rule ddxsech-1f(x)=-f'(x)f(x)1-{f(x)}2

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A: Given integral is ∫|z|=13z(z-z0)(z-14i)dz = -2πi   ---(1)

Q: 1.f AXYZ - ARST, find RS. 40 3x +2 Sx -3 T. 60

A: Triangle Question

Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)…

Q: Let z=xin(x2+y2-e4)-176xy, x=te, y=est, If the value of z when s=2 and t=1 is equal to Ae?+Be4, then…

A: Explanation of the answer is as follows

Q: 24. f(x, y) = In(x² + y)

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 2x − u + 3v + w = 0

A: Given u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). And 2x-u+3v+w=0 Plugging the values,…

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

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Q: Find mZT SU. S U 26° T

A: Solve the following

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A: Answer

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A: Substitution will be done by the given variable

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A: Find ∂2z∂x2+∂2z∂y2.

Q: Exl Let c R,Z) be usual toP s Pace and A-fcxy)ER/ x²+y²< 13 find A Ext CA), Ā , A°

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3x + 2u − v + 2w = 0

A: The given vectors are Let the vector x be

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A: ds/du=9/2

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

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Q: nimize Z = (-1)*(X, abjected to, X, + X2 + X3 s 7 + X. - Xo <-

A: Introduction: The Simplex method is a method for solving linear programming models by hand by…

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A: Derivative

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A: Given,        y''+y=2sin2t, y(0)=9, y'(0)=0

Q: ='i+(2xz - y)j XZ and (2, 1, 3) is

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Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

A: