Let z x²y – xy², x = e-24, y = e2t, then which of the following is a. 2et + 2e 2t O b. –2e2t – 2e-2t O c. 2e-2t 2e2t O d. 0 e. 2e2t – 2e 2t

Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

A:

Q: If zy² = In(xy) – e*², dz then dx 1-xz²e² A) ry²+2zx?erz² B) 1+rz?c=? ry²+2zx²ezz² C) 1-rze*:²…

A:

Q: Q. Let a = x1 dx2 + x3 dx4, B = x1 ×2 dx3 dx4 + X3 X4 dx1 dx2 and y = x2 dx1 dx3 dx4 be forms on R4.…

A: given  α=x1dx2+x3dx4 , β=x1x2dx3dx4+x3x4dx1dx2γ=x2dx1dx3dx4 calculate  (i) αβ , αγ…

Q: Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x³y²z) + x² – y³ + z – 7 find ( ax ду az…

A: Answer

Q: əz Let z=xln(x2+y²-e*)-61xy, x=te°, y=est. If the value of when s=2 and t=1 is equal to Ae?+Be4,…

A: Partial Derivatives.

Q: Let F(x, y) = xy + 2y² + 20x – 4y – 33. Find all values of ysuch that F(y, y) = 2.

A:

Q: df If f(x,y,z) = In(x² – y²z+ yz³) then find Əz 3yz? + y? (x² - y²z + yz³) 3yz? - y? (x² – y²z +…

A: The equation is fx, y, z=lnx2-y2z+yz3.

Q: Let f(x, y) = ax² + by² – 14x + 30y+ 14. If the point (1,3) is the only critical point, find the…

A:

Q: Let X:U(0,1) and Y = eX , then E(Y) Select one: а. 1- e O b. e-1 - 1 C. 1- e-1 O d. e - 1

A: Uniform Distribution: A continuous random variable X is said to follow Uniform distribution with…

Q: S6xw, fx,w (x, w) = 0, 0sxs 1,0 < w s Vã otherwise (3x2, fx(x) = lo, 0<x<1 otherwise

A:

Q: B. Let H « G and K - G, and assume that HNK = {e}. Show that if x E H and y E K, then xy = yx

A: We can prove given result by definition of normal subgroup:

Q: Let f(z) = kz5 + az3 + cz.  Find v(x,y) if z = 6.7 + 2.9i , a = 7, c = 11, and k = 5. Round off…

A:

Q: Let z z'y- zy?, z = e ",y = e", then which of the following is ? 3012 O a. 2e- 2e 24 O b.0 Oc-2e-2e…

A:

Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If A = 2x î + 3yĵ – z k and x = t² , y = t and z = t + 2; then the value of ſc À · d¯ from t = 0 to…

A: A = ( 2x, 3y, -z ) and C : ( x, y, z ) = ( t2, t , t + 2 ) for t = 0 to t = 1. We have to evaluate…

Q: Let z = a?y- ay?, x = e-24, y = e*, then which of the following is at O a. 2e-2t – 2e2t O b. 2e2t –…

A:

Q: If r(t) = (e³t, e-4t, t), find r'(0), T(0), r"(0), and r'(0) x r"(0). r'(0) = II T(0) = r"(0) =…

A:

Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: 1: Let w = eVE, where x = 5s2 – 4,2, y = 3r?s?, and : = Find the value of when s = 1 and r = 2.

A:

Q: Which of the following is true if* f(x, y) = 2- 2xy + xy³ + 3y? frz (x, y) = 6x fyy (z, y) = 6+ 6xy…

A: Given that f(x,y)= x^3-2xy+xy^3+3y^2 then find the fxx, fyy, fxy.

Q: d the values of az/ax and öz/ay at the point z - xy + yz + y' - 2 = 0, (1, 1, 1)

A: Given that  z^3-xy+yz+y^3-2=0 To find the partial derivatives at point (1,1,1)

Q: Show that the following relationships hold. a) (1+i)™sn[ = Sn+m[ ¯ Sm| b) än+1] = 1+ an] (m) (m), c)…

A: Considering the LHS (Left hand Side) : LHS=(1+i)mSn|¯ RHS=Sn+m|¯-Sm|¯ ( Right Hand Side)…

Q: If x= 2u3 – 3u² and y=u³ – 3u, then dy is dx u+1 (A 2u u+1 B и — 1 2u и — 1 D

A:

Q: 8z 2 Let z2 + y? + z2 = 3xyz, then which of the following is Oa. 2z-3zy O a. 3yz-2z 3zz-2y O b.…

A: Explanation of the answer is as follows

Q: Let A = {x E Z: 8lx} and let B={EZ:12lx}. Then None of these ВС А O ACB O A=B

A:

Q: If A = 2yzi -x²yj + xz ² k B = x ²₂ + y²j - xy k 2 D=ax'yzs D = 2х Find : (A.T)Ø, АПФ, (в.V) A (AxV)…

A:

Q: Let z(x, y) = xe* + sin xy + y - In 2 then a a) -In 2-2 b) In 2-2 2 c) 2 (²-1) d) - 2 (²+1)

A:

Q: If y = (x+ 1)(2x – vx), then y' will be 1 A. (x+ 1)(2 – Vx) + ( 2x - В. (x+1) + (2х-vx) (2 — V3) (x+…

A: Given that y=(x+1)(2x-√x) To find the y'

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

A:

Q: Let p(x) = 5x² – 3x + 2 and suppose that y 1 0 A = |0 1 0 0 y for some y E R. Evaluate p(A).

A:

Q: If x2 + y2 = 2st − 10 and 2xy = s2 − t2, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at(x, y, s, t) = (4, 2, 5,…

A: If x2+ y2 = 2st − 10 and 2xy = s2 − t2,To  find∂x∂s,∂x∂t,∂y∂s,∂y∂t at (x, y, s, t) = (4, 2, 5, 3).

Q: Let C: z-i=9. Then ſ. 1-z dz z(z+1) a) 0 b) 2ni с) —2лі d) 4ni e) — 4пі f) 2n

A:

Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: b с a+х b+у с+z a [E] If A = |p qr = 6, evaluate det (A) where A = 3x Зу 3z -p -r

A: This question is based on determinant properties.

Q: Let  z=xln(x2+y2−e4)−176xy, x=tes, y=est.  If the value of    ∂z ∂t   when  s=2 and t=1  is equal…

A: z=xlnx2+y2-e4-176xy x=tes,     y=est use the chain rule to find the partial derivative…

Q: 12. Let z = æ²y – xy²,x = e " ,y = e#, then which of the following is ? %3D at O a. -2et – 2e-2t O…

A: Partial differentiation of a function is the derivative of the function with respect to one variable…

Q: 3. Let x? + y² + z² = ? 3ryz, then which of the following is %3D 2y–3zy O a. 2z-3zy 3zy–2y O b.…

A: Note that, here x and y are independent variables and z is the dependent variable. So, we will apply…

Q: If fx(x)= 1/(1+x²), and fy(y)= 1/(1+y"), X & Y are independent. Find fzw(z,w), if Z-6,5 XY and…

A: Given: fxx=11+x2 fy(y)=11+y2 Determine ∂(z,w)∂(x,y)…

Q: 4. If x - xy + y = 1, find y 3x a.) x-3y2 c.) d.) ay b.) 1-3y2 3y2. 5. If 3x? +2xy + y? = 1, then y…

A:

Q: EX: Find the Z. T. of X(X) = cas wok u(k) Soin

A: Z transform of the function

Q: Let F(x, y) = xy + 2y² + 20x + 6y + 33. Find all values of y such that F(y, y) = –2.

A:

Q: Find ax ay2' axôy and дудх f(x, y) = x®y4 – ay? дхду дудх Evaluate them all at (1, -1) if possible.…

A:

Q: S_f(x.y,z)ds

A: The solution is given as

Q: Write a in the form of a = a„T+a„N at t = 0 without finding T and N first if r(1)=(2+3¢+ 3¢°)i+(4+…

A:

Q: z=xln(x2+y2−e4)−176xy, x=tes, y=est.  If the value of    ∂z ∂t   when  s=2 and t=1  is equal to…

A: we have to partial derivative by using chain rule

Q: Let Fi x?+y",x= v u², and y= v df du Find A.) 5ytv-2ux B.) 5yY -2ux (-) 2x +Fy? 0.) (2자 +5y)(v-u E.)…

A: See attached file for a step by step explanation to find the required partial derivative.

Q: (a) z, and z4 where z = sin(2x) + y, x = s² – t², and y = s² + t² (b) z, and z4 where z = e*+y, x =…

A: We need to find the partial derivatives z.

Q: r+ 2y +3z + 1 2r+ 4y +5z +1\ 2x + 3y + 4z +1 :): Let M = {| r + y +2z +1 : 1, Y, z E R}. Determine…

A:

Q: 9 Find if y = 7x by using the Chain Rule with y as a composite of the following. dx a. y = 7u° and…

A:

Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.