Find all equations of normal line at the point (1, 1, –1) to the surface 2 +z² +3 = 2y + y? Moreover, find two another points on the above surface?

Q: For each eigenvalue A, find a basis for the generalised eigenspace E where m is the multiplicity.

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Q: Solve the second order difference equation z(n + 2) + 4z(n + 1) – 21r(n) = 26(n) for 1(0) = 0 and…

A: Given second order difference equation is xn+2+4xn+1-21xn=2δnand x0=0 and x1=0

Q: Given the parametric equation x = t+ lnt and y = t - Int %3D dy d²y Find and dx da? Find the point C…

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Q: Define {an} by a₁ = 1111 and Show that |an – √5| ≤ |an-1 - √5] for all n ≥ 2 where ☀ is the golden…

A: Given, an+1=an+5an+1 Let limn→∞an=l ∴an+1=an+5an+1⇒       l=l+5l+1⇒l2-5=0⇒        l=±5⇒        l=5…

Q: (c) Show that the ideal generated by x² + y² + z² € C[x, y, z] is a prime ideal.

A: If <x2+y2+z2>is not a prime ideal, there should exist g,h∈ℝx, y, z s.t. x2+y2+z2 | gh,…

Q: roblem 43. Tal side the angle. C long to l₁ and 1₂ - which the area

A: Here, in the question it is been asked about an angle between 2 rays l1 and l2 with vertex O and a…

Q: Is the given series 1 + 4 2 - 1 + 12

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Q: (c) Solve: all = 545157077252813 (mod 3864755236246423)

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Q: 10. [ Find the flux of the vector field F(x, y, z)= 3 over the surface S, where S is the surface of…

A: The general form of a vector-valued function in three dimensions is given by F→=Fx, Fy, Fz, where…

Q: 2T S S 0 4 0 cos o p sin³ o dp do

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Q: Use the partial fraction method to determine the inverse z-transform for z/p 8z + 16 F(z) P=2 6-) (z…

A: Given that, Fz=zp1p-1pzz-2p+8z+16zz-2-1p=2

Q: 2. If 24x 16, then x =

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Q: Find the coordinate of the local maximum for the curve 21 y=2+9x- +2x

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Q: Consider the IVP: y= 3z – 4y-2, y(2) = 3. A) Use Euler's method to obtain an approximation of y(2.4)…

A: The given differential is y'=3x-4y-2  , y2=3 we know the Eular method is yn+1=yn+hfxn,yn

Q: Problem 1 Let the matrix A be given by 34 A = 1 1 -1 1 2 a) Calculate the determinant of A. b)…

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Q: (c) Let P = (2 : 5: 1) and Q = (9 : 6: 1) be points on the elliptic curve y? = x +7x +3 defined over…

A: Given: P=2:5:1 and Q=9:6:1 are points on the elliptic curve y2=x3+7x+3 defined over the finite field…

Q: (b) Count the number of arrangements of the word FEBRUARY that satisfy all of the following…

A: Given information: The string BYE appears in the arrangement, The string YEAR does not appear in the…

Q: A unit vector a makes an angle n / 4 with z-axis. If a + i+j is a unit vector, then a is equal to

A: Introduction :

Q: student studies for an exam is just 80%. Given the student passed the exam, determine the…

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Q: • Question 6 The function f(x) = ln(8 – x) is represented as a power series %3D 00 f(æ) = Cna". = Ë…

A: f(x) = ln(8-x)

Q: 4 3sin(x) = 11 sin(x) a) Using the substitution u= sin(x) show that 3u2 + 11u-4=0 b) Hence, or…

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Q: 2. Find lagrange's Inerpolating polynomial of degree 2 approximating the function y = In x defined…

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