Find the new data point (x,y) in which x=2 from the data points (1,3) and (4,12)

Q: How may elements are in the set [-2, 2] \N?

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Q: (a) Use Gauss Jordan elimination method to solve the system of linear equations given by AX= B where…

A: The Gauss Jordan elimination method is used to find the solution of the linear system of equations.…

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A: We have to find value of g(t)

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Q: Part 1:  Prove that the two triangles are similar. For whichever method you choose, include the…

A: consider triangles △ACB and △DCE ∠A=∠D given each 30° ∠ACB=∠DCE vertically opposite angles Therefore…

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A: As per company guidelines we allowed to solve maximum three sub-parts please resubmit the question…

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

A: Solution :-

Q: Use row operations to solve the system. x+ y− z= −6 2x− y+ z= 6 x− 4y+ 3z= 5

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Q: з хутуг х2 +xy dy + ax = 0

A: To solve, dydx=-3xy+y2x2+xy⇒dydx=-xy3+yxxyxy+1⇒dydx=-3+yxxy+1        ___________(I)

Q: Theorem Let f: G→ H be a group homomorphism. Then, Im f ≤ H. واجب Proof

A: A non empty subset of group is said to subgroup of group if it is also a group. We know that One…

Q: an error of magnitude less than 1-cos(2x) 4 Use the identity sin² a to obtain the Maclaurin series…

A: (4)

Q: If ~1,..., η € C, with n > 2, use induction to prove that TU Σ j=1 = n Σ j=1

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Q: Determine the longest interval in which the initial value problem is certain to have a unique twice…

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Q: For the linear mapping as follow T c- dim(KerT) =2 d-dim (KerT) =3 T: R² R³ X y Z x-2y x-3z x-4t…

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Q: P4 Determine the cubic clamped spline interpolating the data points (0,1), (1,0), (2,2), (3,0) with…

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Q: For all a > 0 and b> 1, the inequalities In (n) ≤n, n < b are true for n sufficiently large (this…

A: We write an inequality comparing (ln(n))8 and n.

Q: Find the mass of the cylinder (centered on the z-axis and base in the xy-plane) with radius 4 and Z…

A: Mass f(x, y, z) = ∫x∫y∫zzx2+y2+1dxdydz Let x = r cos(θ), y = r sin(θ), z = z So, the mass integral…

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A: Since  you have posted a multi subparts question according to guildlines I will solve first  three…

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A: Follow the steps.

Q: Solve for the two positive values of x that satisfies the equation e* = 3x² Using the following…

A: To obtain the solution of the equation fx=0, use the following formulae. Regula-Falsi method:…

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Q: wo lattice points (a,b) and (m,n) are mutually visible if and only if a−m and b−n are relatively…

A: see my solution

Q: Q3. Prove that if kx = ky (mod m), then x = y (mod m/d) where d = g Q4. Find the remainder when…

A: 4 We have to find the remainder when 51999!−31997! is divided by 2003 that is we have to evaluate…

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A: Given the function  y=sinx

Q: By using Value of fixed point approach solve the A = √2 + √2+√2 === Solve илс супел Solve this…

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Q: ={b₁,b2} and C= {C₁,C₂} be bases for a vector space V, and suppose b₁ 1 Let B= a. Find the…

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Q: The figure shows vector a⃗ of magnitude 2 m, and vector b⃗ of magnitude 4 m. Segments OP and SU are…

A: This is the question from vector analysis.

Q: For every x 1 we have [x]!= II pa(p), Πρ), p<x where product runs over all primes less than or equal…

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Q: 1. You are given f(x)=-3x² 18x - 11 a. Determine the number of zeros/roots of f(x) b. Determine the…

A: Given function is fx=−3x2−18x−11. d We have to determine the maximum and minimum value of fx.…

Q: Theorem 3.1. Let ƒ € C¹[a, b] and 0 < y < x be two real numbers. We have P Σκη-Γι f(t)dt + Γ (t −…

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Q: The vector xin in a subspace H with a basis B=(b, b₂) Find the B-coordinate vector of -18 10 CS…

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Q: Derivative of this respect to z dCA A=? of dz CA = -bz bz CAs e(e)+CAs e •(eb) ebz + e-bz - bz eba +…

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Q: Jo (x)= TT 1 TT Ső 0 Ső cos (x sin ) dø cos (x cos ) dø

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Q: 5. x=4-s+t Find a vector perpendicular to the plane = y = 1+ s-t (z=1+s+t b) [5, 5, 0] a) [1, -3,…

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Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-

Q: 10.Check whether 12" can end with the digit zero

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Q: Question 4. Suppose that X = {x₁,x₂,.,x} is a subset Inner Product space. Which option is correct?…

A: We use definition of Orthogonal and Orthonormal set.

Q: dy Consider the differential equation 25y36x=0, which has a one-parameter family of implicit…

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Q: (y² + xy)dx=x²dy=0

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Q: The signal u(t) is a full-rectified sine wave with periodic varying amplitude, whose graph is given…

A: It is full rectified. The Fourier series expansion in a full period.

Q: 4. A password to a vault must have at least 8 characters where each character can be an English…

A: It is given that password can be  English letter or a digit. So available characters are:…

Q: Let G be a group. The centre of G is defined as the set Z(G) = {g ∈ G : gx = xg for all x ∈ G}.…

A: Let G be a group. The center ZG of group G is defined as follows. ZG = g∈G : gx = xg , ∀x∈G We need…

Q: (4) after the year 2000. Round each decimal answer to two decimal places. What was the population of…

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Q: solve the following differential equation y''+5y'+4y=10e^-3x

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Q: Let m and n be two positive integers greater than 1. ecos (α"). am m then the value of (1) is n If…

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Q: a 0.9062 Cos (1-√3x) dx = 1/2 -0-1 a=0.5968 How?

A: Introduction: The summing of discrete data is indicated by the integration. To determine the…

Q: Question 9 Let I be the line with parametric equations x=3-3t y = 5+3t z=-6-2t Find the vector…

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Q: : For an algebra of sets $, the following statement hold true. (i) = $ and X = $

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