Solve the Laploce equatrons for the ondi tions flx) funciong given boundery and b elow Con dibion Boundary

Q: 12: A tangent to the circle x² + y? = 5 at the point (1,2) and th circle x? + y² – 8x + 6y + 20 - A)…

A: Given that  A tangent to the circe x^2+y^2=5 at the point (1, 2)

Q: 5) Find tue soletion of the differen tiel equation dr Sec't which paffes dt fant +1 turough the…

A: Solve the differential equation by separation of variables.

Q: by computing that the given funetions inde pendent on Show the are linearly indieated intorvale…

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Q: Q₁) Find Jz dz 1. along the contour integral c from 1+i directly to 3+i3? 2. along line from 1+i…

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Q: C is upper half of the unit circle x² + y² = 1 oriented from right to left. Compute f x²dx - ydy

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Q: Find The Partlel derivatin ƏRŞƏR where R= Kq R2 Ri+ Rz

A: Given: R=R1R2R1+R2  ……1   To find: ∂2R ∂2R1∂R12 ∂R22

Q: Find the limits of n' fntegl s taben an+34 e dy dz a> b) 名ー15x54 Nome of these

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Q: Let Scメッリ):\y\<\,Ms I = be the square with Siles of lenglh 2. Let In be the Square pimed at (0,0)…

A: Given,I=x,y:x≤1,y≤1: SquareLength of square=2In is rotated at an angle 2πnθTo find: limn→∞sup (In)…

Q: 2) usins Culcuulus for parametrre curres. Show trat the aren of a idis e of radius Ris siren by…

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Q: 8-1) Assume that two surfaces to create a curve : 炉 x² + x²-x²3² = -7 are intersectiong 3x₁² + x₂ +…

A: Introduction: In three dimensional Euclidean geometry, the directional derivative of a surface is…

Q: Each edge of a cubical box has length 1 m. The box contains nine spherical balls with the same…

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Q: 20) use the error formula to estimate the error Pn approzimetiag tue 4 integrel ) (5x+7) d\ with n=4…

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Q: Let fca) satis fies Cauchy Riemann Eguation , then (f(z)" is also satis fies cauchy Riemann Eguation…

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Q: Define the Cineen trans formation Ti R^→ R° by Tin) =Av. Find the fimensions of R and R". A = -2…

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Q: 30) Find all poin ts (if eny) at honzendal and Verticel fongancy :::: to tul unne Anyw ans: a)…

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Q: any point on the side Square a Pro Trom A IM is the midpoint of the side AB of A ABC. BC is extended…

A: Given: To prove: AC = 6.XC Solution:Identify Midpoint:Since M is the midpoint of AB, we have:AM = MB…

Q: funchion flx)= lxlt lx-f+lu-z! at n= E O,l and こ2 orna ソー > Itaz

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Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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Q: 6. In triangle FGH, F(6,-1), G(12,4), H(15,-2) with centroid M and midpoints L, K, J midpoints of…

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Q: If F&) and g(x) ave combinuous on fanb] andit =5oprove thab b. b. Icefanb] Such that ffe)=gle).

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Q: FOo=X-1 de fined 2n E- lro] show that Fis Riemenn integruhk

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Q: ) Let z be a c complese number then cos ( 58+2) is bounded in C2

A: Since, sinz and cosz are unbounded on C. These are unbounded along horizontal axis .

Q: A triangle ABC on the pseudosphere H has all sides of length s (so it is equilateral). Let the…

A: In hyperbolic geometry, where the pseudosphere ( H ) resides, the relationship between the sides and…

Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

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Q: Ex: © Test Hhe distance formula for froblem on pair of Points whose unkured coordnates ane (2,-1)…

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Q: Find 20) a) fnd the denvalive of usting grat pandple. b) Finddy I+t? y=2t.

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Q: 19) fiud eq uilibrium Point for the demond arol Supplie fumetion of Dq = - 1.259+ 475 and S) =…

A: Given D(q) = -1. 25q + 475 S(q) = -1. 125q + 266 For Equilibrium, D(q) = S(q)  0.125q = 209 q = 1672

Q: Find the Euclidean metric tensor (in matrix form) for Spherical coordinates. if (x²) Spherical…

A: Given :             x1=x1sinx2 cos x3x2 =x1sinx2sinx3x3 =x1 cos x2 To Find : Euclidean metric tensor…

Q: Prove that a torus at R³ is equivalent to the Cartesian product of two circles at R² 3 that is,…

A: Given Information:Torus: where  and  .Circle:  where .To show:The Torus at  is equivalent to the…

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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Q: Wie the defiebun of the desiunhue P) lin flxal) -RC) ke compule devivative of fl)=3X-X hab find the…

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Q: showthat the alle of the integral S coś() ž istetc) = dis the line Segment from z-0 to 2= 742i…

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Q: Given the region R inside the circle x^2+y^2=4 and above y= sqrt(3) A) Establish that d A exists B)…

A: Double integral over the region.

Q: 3. + Rylx) 2. 4 Py lx) = 5 Ttejs c btw x . Pind epprovimadion lor ln 3 . Show that t iois appeox…

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Q: 12) Show that D- ldi-dal between is shortest distance a x+ by + e2 of i ancd ax +by +Cz = dz?

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Q: Theorem-e Caley-Hemiltion)let Arxz motrix OAntra +detA=0 tet Azximufrix

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.