3. = f(u,v),u = g(x, y), and v=k(x,y), using the chain rule show that 2 a?w ô?w(ôu + a'w, a?w ) du ôv ô²w( ôv ôvôu ' ðuôv ) ax ôy 'ôv² ( ây ôw ô²u, ôw ô²v + + + ди? ôx, ди дх? ôv ôy²

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

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Q: If u = cos (x + y) + cos (x-y), then which of the following are true? อิน d²u 2 ay (b) I and II only…

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Q: B 4a X A 66° 20

A: The given figure is -  We have to find the value of 'x'.

Q: Construct a Formal Proof of validity: (Ǝx) Ux ⊃ (y)[(Uy v Vy) ⊃ Wy] (Ǝx) Ux • (Ǝx) Wx ∴(Ǝx) (Ux •…

A: Given that (Ǝx) Ux ⊃ (y)[(Uy v Vy) ⊃ Wy] This means there is x which satisfies the conditions. The…

Q: ху f(x,y,z) =- х+у+z

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Q: If W= x³y?z4 + 2xy +z Then W,(-1,1,2)= -31 ylgn C ihi C

A: True

Q: a²u a²u Q5) Find u such that + əx² with u(x,0) = 0.5x², u(x, 10) = 0, u(0, y) = 0, = 0 u(20, y) = 1…

A: Using centered difference for second order derivative

Q: 1. 다음에서 u.v를 구하여라. (4) u (7, 6, 2) v (3, 1, 2) s (1) u = (4, 7,-1) v = (-2, 1, 4) (2) u = (-1, -2,…

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Q: Given he Snouing Veloily funclion V(t)- Es TE +1Z. Velocly = (a). Fond he Value (s) of e ewhen The…

A: Solution: When V(t)=0 as you find the values of t=3 & t=4

Q: 5 -2 3 Which of the following could be a value for v? Suppose that - = -20 and that u = a) v = b) v…

A: Given that , u→.v→=-20 and u→=5-23, Now we have to find the value of v→.

Q: Q3) If f(x, y") = x + y? + Vãy find: af(x²y) and Ty) ду afxy)

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Q: 5)Let w-f(u, v), where u = X -y andv = a) Using the chain rule, express x-y in terms of x, y, of and…

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Q: 1 Find af /dx, Əf / dy if ар лах а fax,y) - ху bfcxy)= exy cЈ fexiys - x cosx cosy d.j fexiyo=…

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Q: If F(s) = 1/(S-2), then f(t) is %3D a) e²'u(t) c) u(t-2) d) e"'u(t) -2t b) u(t +2)

A: Given Fs=1s−2 We have to find the ft Use definition of inverse Laplace transform, which is given…

Q: Consider the following bivariate data. Point ABCD EFG HIJ 0. 1 34 y 5. 8. 4 3 4. 1 1 (a) Construct a…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

A: u=fx,y, x=gw and y=hw

Q: In ([0,0),Tcoc), if A = N, then A' = O a. (0,00) O b. [0,00) O C. O d. A e. A-{1}

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Q: dw Q2] If w=u³ v, us+v=t-s and ² + v³ = st² then evaluate dt u= u(s, t) and v = v(s, t) where

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Q: L[u(t- 4) (r3' - 16 3')] = O e t (-3) (e-3)? O In 3e ( +) 2. (r-In 4) 64e-3 6. (r-In 4)2 (-In 4) 6.…

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Q: C = 3. 3. Find AB and BA given 3 A = and B = -7 -4 -2

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Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: (ove) V (IAS) (0~1) V (1~VO)~ (pv~e) ^ (~p^r) :. LAS

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Q: Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b…

A: We need to show that, If Y=aX+b then Corr(X,Y)= +1 or -1

Q: Qzi In Vu CR) it u =(\,-1,\,-1), v = (- 2,2,-2, 2) Find iI lull and l vl)

A: Consider the given vectors as, u=1,-1,1,-1 and v=-2, 2,-2, 2 If vector u=a,b,c,d then u=a2+b2+c+d2…

Q: Find af ?х af ду af дz af af 7 Әх ду ах af = = ду af = af дz f(x, y, z) = 3xy + 3xz - 3yz Find their…

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Q: suppore that f(x.v,Z) = x*y +x2 and x cu,v) = sincu)t(os (u) Y(u, v) = Sincu) - (oslW find of oflav…

A: Given: f(x,y,z)=x2y+xzx(u,v)=sinu+cosuy(u,v)=sinu-cosu To determine: ∂f∂u,∂f∂v

Q: For what values of p, q and r statement (p - q) v- r is false? (a) F, F, F (b) F, T, T (c) T, F, T…

A: We have to check

Q: 10. Find the generalized Hukuhara difference u OgH v, where u = v = (1,3, 5). Does their Hukuhara…

A: Given -  u = (1, 2, 3)  v = (1, 3, 5) Generalized Hukuhara difference (gH difference) will be -

Q: 2) al X,X2 =) y = Xi~ ? ,-,Xn ~lid exporen tíal ( 100 b) Xq, X2,--- Xn~ iid N(44i44)= ビ- ~? i=1 %3D…

A: Solution : a) Given : xi  ~ exp ( 44100 )   ; i = 1,2,3,...,n ∴ θ = 0.44     Y    = ∑1n Xi It is…

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Q: 2 3 ). (: :) Let mį = m2 = m3 = 2 Determine s if n = 4 3 E Span(my, m2, тз).

A: For the given matrices m1 , m2 , m3 and n and using the statement that n lies in Span ( m1 , m2 , m3…

Q: 660. Let A = (1, 5), B = (3, 1), C = (5, 4), A' = (5,9), B' = (11, –3), and C' = (17, 6). %3D Show…

A: according to the problem, we have

Q: . d the しいwits UI- Vタ+1 ユ ーリー! Cスリ る) しm 5) (Z,y)>(,) Cos Tzyl-a C)にm 反- vy Ca,y)Co)

A: Consider the limits, To solve, Multiply by the conjugate of numerator,

Q: (d) r~q, s Vr, sq, p q⇒~p

A: Since you have posted a multiple question according to guildlines I will solve first(d)   question…

Q: We know that z = f(ax²+by, ear). .If u = ax²+by ^ v = er fe +aeªr. And we know that dz af 2ax- Then,…

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