H.W: Find fr, fy » fyx and fy if f(x, y) = x+ y+ xy ух ху

Q: 1. Show that ||x|| , ||x||||x||₂ are vector norms. 2. Show that if x and y are two vectors, then…

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Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x2…

A: The double integral is given as  I=∫ab∫f(x)g(x)dydx or I=∫ab∫f(y)g(y)dxdy   Double integral is used…

Q: QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3) Write a as a cycie or a product of…

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Q: 4-2. (a). What is the coefficient of x’ in (1–x)º (b).What is the coefficient of x in (1–x)-9

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Q: 4. Compute cach of the following iterated integrals by reversing the order of integration. sin (r)…

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Q: det (M) Find the determinant of the matrix -3 0 0 3 -3 0 1 0 M 2 0 0 0 0 -2 -1 -3 0 = 0 0 0 0 0 -3…

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Q: 4-2. (a). What is the coefficient of x7 in (1–x)9 (b).What is the coefficient of x in (1–x)-9

A: We have to find the x^7 coefficient.

Q: For which values of t is each set linearly independent? (a) S = {(t, 1, 1), (1, t, 1), (1, 1, t)}…

A: Recall: If the matrix determinant is zero it means matrix is singular and In system of equations…

Q: Find the Fourier series for the given function. f(x) = 9 2⁰⁰ 9 2 πm=12m - (m1)лx f(x) = 9 - - Σ 100…

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Q: y? +x = 2, 2r + 3y +3: 6, = 0, y=0, 2=0 TOke the surfaes and obtam valmes fo X, Y and z qnd compore…

A: Given,y2+x=2,        _________(I) 2x+3y+3z = 6, __________(II)x = 0, y=0 and z=0From (I)y = 2-x…

Q: A and B are two cities. a) Measure the bearing of B from A. b) Measure the bearing of A from B. Ax x…

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Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information…

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Q: Stephano is renovating his apartment, which is at the  end of two corridors. The corridors of the…

A: It is a maximum distance calculation type  problem where we have to calculate distance of longest…

Q: The matrix A is a real symmetric 5 x 5 matrix with eigenvalues 3, 8, 12, 15, and 18. The vector x1…

A: Since

Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

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Q: QUESTION 14 Find up to isomorphism all Abelian groups of order 18.

A: To find- Find up to isomorphism all Abelian groups of order 18.

Q: -. Use the binomial series to expand the function as a power series. State the radius of…

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Q: Find the orthogonal projection of onto the subspace W of Rª spanned by projw() = v= 4 -2 -13] 3 15…

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Q: Find a simple closed curve Cwith counterclockwise orientation that maximizes the value of C3 4x: O…

A: Line integral

Q: I. Solve for x. All final answers must be in Znwhere nis the modulus.  (a) x≡3(15) + 45 mod 18 (b)…

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Q: se 16) F(s)=- s+4 cos(21) Ans. f(1)= elsewhere

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = x°i + y°j+ z°k across the surface of the…

A: Gauss divergence theorem is used

Q: Which of the following expressions correctly sets up the line integral r(t) = (²+2t)i + (t²-2t)j for…

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Q: A and B are two cities. N x B a) Measure the bearing of B from A. Ах b) Measure the bearing of A…

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Q: * Evaluate. 2t |4 + et| dt

A: Solution :-

Q: QUESTION 3 Let G be a group and a EG. Prove that H ={y EG: ay =ya}} is a subgroup of G.

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Q: Confirm that the force field F(x, y) = ye"y i + xe"j is conservative in some open connected region…

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Q: QUESTION 9 Use the Fundamental Theorem of Line Integrals (FTLI) to evaluate ending at (1,3) O a.…

A: Evaluation of the line integral over the curve

Q: What does the divisibility rule of 4 and 8 have in common ?

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Q: Find the Fourier series for the given function. 9 f(x): = 200 Σ πm=12m-1 2 9 f(x) = 9 - 1¹ 2₁ πm=IM-…

A: Given function is f(x)=9, -L≤x<00,     0≤x<0 with period 2L Let the Fourier series be…

Q: Inverse 17) F(s) = s* + 2s + 2 %3D

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Q: (a) |r cos(a*)dz

A: As per our guidelines we are supposed to answer only first part. Kindly repost other parts in the…

Q: 1. Find the domain and range of the following: 1 (a) f(x, y) = y – x² (b) g(x, y) = 9 – x² – y? (c)…

A: As per guidelines we experts are allowed to solve one problem at a time. please reupload the second…

Q: Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability…

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Q: Lacey would like to set up a retirement account that pays her $3,400 a month. If she sets up a…

A: To determine the amount of money Lacey needs at the time of retirement.

Q: A toy manufacturer estimate that 6% of its products are defective. If 550 toys are produced in one…

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Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

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Q: Solve X'= %3D 1 2. 人 2. Given use %3D -2-2 Laplace TransForm OF A to Compute At.

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Q: Show a segment that would measure 6 cm to the nearest centimeter but 6.5 cm to the nearest…

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Q: B2. Euler's Theorem Let G = U(n) %3D Prove For any a in G, a^m = 1 (mod n), where m = (phi) (n),…

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Q: You place $3800 into an account paying 4.5% compounded continuously. Give the annual growth rate…

A: Solution :  Given that Interest rate r = 4.5% = 4.5/100 = 0.045

Q: Find fe(), the Fourier series expansion of * € [-L, 0), * € [0, L], where k and L are positive…

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Q: 17. r=3sin 40

A: The area of a region in polar coordinates defined by the equation  r=f(θ)  with  α≤θ≤β is given by…

Q: 3/4x+2 - 1/6x+3

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Q: points rm, i.e., the quadratic function M p(x) = |x-rm², rm ER", m=1 X1 where x = ER" and the…

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Q: 3. Two graphs are shown below (along with the shaded regions bounded by them and the z-axis). A)…

A: To find- Two graphs are shown below (along with the shaded regions bounded by them and the x-axis)…

Q: Solve a congruence equation and give all the solutions: 3(x – 2) + 4x = 5x +8 (mod 31)

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

A: Line integral will be path independent if vector field whose integral we need  is conservative…

Q: s of the quadrilateral are parallel. of the quadrilateral are congruent of the quadrilateral are…

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