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Q: If F=, and is equal S: r, 0susa/2,0<vs2. Then O a 4+T O b. 4-兀 OCA+T Od. 4-27

A: We have to find double integration of the given function.

Q: O If fCos,y)=xty-xy%,find Joc-1,y-2. DIf 2=ea>c+ ky oflexx-by), Prove thet baz + ag = 2abz.

A: 1.Given function is fx,y=x3y-xy3. We have to find 1fx+1fy1,2

Q: 4. Show that for all formulas p, ý, 0 € S(P), (a) (y = ) = ¬(e^ ¬b).

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Q: were different. Who is correct? Justify your response. dules ignments Lacey Chris izzes 20+ 8h = 180…

A: Given that:

Q: Is the following statement true or false? ) ) = OC) Vk, m, n e Z where k <m <n O True O False

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Q: Which of the following is a condition for the figure below that will prove l || h a)La a Lc b)mLb +…

A: Given : To determine the condition when l1∥l2

Q: -1 2 What valuls e a, b, c,d that that mwhe this - 1 - 5 5 consitents - 2 A xc B --- ~

A: We have to check whether given system is consistent or not?

Q: If F =, and S[F ndd is equal to S: r=, 0<u<1,0<VSa/2. Then O a 1 O b.2 O C. 1 O d.

A: We have find given double integration.

Q: Given, dr = b(cosedr+rsinėdė);r(π) = 1. Find (1) 1 1+b O 1+b 2 1 1+b O b -(1-b) 1+b

A: We have to find the value of rπ2

Q: Consider the following sets A = {x |x > 1}, B = {x E N|1< x < 3} and C = (-2, 2). %3D 1. Find: (а)…

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Q: Use the References to access important valu Which of the following statements are correct? (Select…

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Q: Given the following equally spaced lata . え 2 3 4 fx) 30 33 28 12 -22 find flo), fíz), frw) .of…

A: Numerical differentiation method to find solution.The value of table for x and y x 0 1 2 3 4 y…

Q: For a E R and n E N, lim, O (A) True. O (B) False. a" = 0 if | a|> 1. %3D 72 O4

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Q: Use the diagram to answer the question. Which statement is NOT true? 1 4 2 > Play O 44 is vertical…

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Q: Let Z = min[X, Y]. P[Z <= 5] ? E[Z] ? P[X < Y]?

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Q: Let G=Sg. 14 xy= 0 for XiyE 4G, would if X=0 or y=o hoppen! 4 true, prove it l4 true, prove it;…

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Q: O Fimd the that is boun ded between fe)= 2-x ond gla) = 4-x² ef Hhe regitn glo) = 4- x²

A: Toipc-Area under the curve

Q: Let fx,y) = xcos(xy)+ y'. Which of the following is true?

A: Given function - f(x,y) = xcosxy3+y7Differentiating with respect to x - fx=ddxxcosxy3 + ddxy7fx =…

Q: The ODE M(x, y) dæ + N(x, y) dy = 0 is exact if and only if ƏM (x, y) _ ƏN(x, y) صواب ihi

A: Explanation: The necessary and sufficient condition for the differential equation Mx, ydx + Nx, ydy…

Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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Q: The diagram Shaus o quadrilatoral ABCD(not Hmun to suale) in uhi ch A is on è G-is Dis on d x.0xis.…

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Q: Which of the following statements must be true if AGHI ~ AJRL? Sle the apply- H K G J 7.

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Q: Show that for any x, y E R2 we have doo (x, y) ≤ d₂(x, y) ≤ d₁(x, y). Under Under what conditions is…

A: We have to show that for any (x, y) ∈ℝ2 ,  d∞(x, y) ≤ d2(x, y) ≤ d1(x, y) And under what conditions,…

Q: Compute the following convolutions given, h(t) = yo (t) - y1(t), and include detailed steps: h* h(t)…

A: Convolution of two functions f(t) and g(t) says that f*g(t)=∫f(x)g(t-x)dx. So, if h(t)=y0(t)-y1(t),…

Q: Given: AAFD, AF = FD KE AD , E E AD , AE = DK NK 1 AD , ME 1 AD Prove: KN s ME D K E

A: To prove - the given statement is true.

Q: Iven: If X, then Y. If Y, then Z. Y is true. So:

A: Given that : If X then Y , If Y then Z Y is true

Q: OD Eristane and Uniquere si The oe em does IVP n foluing eesayto haue aunique solähón ye9) = 3 . dy…

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Q: 5. If A e U(n) and A e C has length one, show that XA € U(n) .

A: If  A∈∪n and  λ∈ C  has  length one,show that λ A∈∪n.

Q: or (F)alse. Determine whether the following is (T)rue %3D Do,(ZABC)=ZA'B'C', then mZA'B'C' = 2…

A: answer the following

Q: :? Let w = x. In(ry²z³), then which of the following is a. Ob. O b. O d. 0 O e. e.

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Q: B. Vevi fy if a solu fion to the indicated differen fál eguat- the guen relatun Cfunchun) is )y=…

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: Is the following statement true or flase? Select one: True False 5 [ 2 (xy) dydx = chỉ xdx xdy) 0 0

A: To check whether the statement is true or not. Given information; The statement is ∫05∫02xydy…

Q: Given: If X, then T. If Y, then Z. Y is true. So:

A: Given that If X, then T.   This implies that the statement T is true whenever the statement X is…

Q: 1. If (x+y)-x²+y´ , which of the following statements must also be true? 1. x=0 I, (x-y)? -x²+y?…

A: Given (x+y)2=x2+y2 Expanding the identity,  x2+y2+2xy=x2+y22xy=0xy=0 ...(1) Hence (III) is true

Q: If p : X E M(n x n, R) + tr(X), what can we say about det (exp(X))?

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Q: Evaluate the following: 6. Se (y, 1) - dr where r(t) = (t3 –t, 2t) from (0,0) to (6,4).

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Q: 1. If a, b e R and b # 0, show that: (b) la/b| = |a|/\b|.

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Q: *Show that for any x, y ER² we have doo (x,y) ≤ d2(x, y) ≤ di(x, y). Undez d2(x, y)? Under what…

A: To Show:  d∞(x,y)≤d2(x,y)≤d1(x,y). for x,y∈ℝ2. Also we need to examine that under what condition…

Q: Nhich of the following is true? * If A = (x: x [B| |A| < |B[ |A|

A: To solve the following problem, we use the defination of cardinality of a set. Cardinality of a Set…

Q: Let X1,., X, N(u, o?). iid N(H, o?). Find E(), if ju = X1 + (X2 + + X(n %3D 2(n-3) 17 16 4 O 17(n-2)…

A: Given that, E(X1)= E(X2)= ......E(Xn)= mu

Q: The soluhion of P.D.E 3 + 2 du o, u(x,0) = 4e* is @ 4e © 4e O 4e

A: 3∂u∂x+2∂u∂y=0, ux, 0=4e-x Characteristic curves are given by  dx3=dy2=du0 Solving the first two,…

Q: 7 La R,{(,-1). (e0). (d.1)} and R. subsets of AX B where A ((+1), (c,-1). (d.0). (r. 0). (u. 1)} be…

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Q: If f(x, y) = e + e", then .Vf(x, y) = (0, e') :Select one TrueO False

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Q: Let o € C (RN), heR - {0}. For teR', we set 0(r +th) – 6(x) (1) = t. 1- Show that o e C (R^).

A: Since, you have post multiple question. I am answering first one. Please post again for the…

Q: If F=, and S: r=, Osus10svsa/2. Then FondA is equal to O a. 2 O b. O C. 1 O d.-1

A: Given F→=0,cosz,cosyand S: r→=u2,u,v, 0≤u≤1, 0≤v≤π2

Q: Given OK with secants NS and NR ,which exp N- P •K R S. O A. (NQ)(NQ + QR) -NP NP O B. (QR)(NQ+ QR)…

A: Concept used: Intersecting Secants theorem: The relation of p,q,r and s is p×q=s×r.

Q: Given 21 = 22, which theorem could be used to show that AABN~AYXN? B (A) AA (B) SAS Y (C) Sss (D)…

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