Instruction: Sketch the solution curve passing through each points. You can use computer software to obtain tge direction field of tge given differential equation.   Kindly answer A and B

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A: Let the model function is fx=a+bx The normal equation are given by, ∑yi=na+b∑xi∑xiyi=a∑xi+b∑xi2

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Q: 7. Evaluate ſxy dA as the limit of a sum, where R is the rectangle with vertices (0, 0), and (xi,…

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Q: Consider the vector field F(x, y, z) = (-y, —x, −2z). Show (—y, that F is a gradient vector field F…

A: Please find the answer innext step. We recall the definition of gradient of a function and then…

Q: 5. Consider the following function: f(x) = xe* - 1. Find solution of f(x) = 0 up to 5 iterations…

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Q: Let L: R2 → R2 be a linear operator. If L ((1, 2)T ) = (−2, 3)T and L ((1,−1)T ) = (5, 2)T find the…

A: Given : L1 , 2T=-2 , 3T  , L1 , -1T=5 , 2T To Find : L7, 5T

Q: dy dx True False 2 __? cosx+y? + −y= -x² COS .y² X - is a Bernoulli Equation.

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Q: Show steps and workings. (Review examples in the lesson notes in blackboard.) x²+x-6 x-2 f(x) == a)…

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Q: Examples and similar. Justify appropriately. (a) Let A be the family of functions f so that limx→∞ f…

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Q: Is it possible to to fill in the cells of a 9×9 table with positive integers ranging from 1 to 81 in…

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Q: Show that the DE (7x+44) dx + (4x+3y)dy=0 is exact, then find al Hs integral fundion & btts general…

A: Given: Differential equation is 7x+4ydx+4x+3ydy=0 Show that: The differential equation is exact then…

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Q: Find the solution to the differential equation that passes through the origin. 2 = | dz dt || 4te 42

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Q: M In³ + (n + 1)³ > (n + 2)³ GEGECS

A: Let p(n) be the statement 'n3+(n+1)3&gt;(n+2)3'. 13+23=9 ≯27=33…

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Q: (b) Z[x] (c) Z₁[x]. Be sure to explain the irreducibility of the factor(s) as element (s) of the…

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Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

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Q: 9. Find the solution to the initial value problem y' = y(2x + 1) with y(0) = 2 using separable…

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A: Answer)  Given that: Tickets $123.40 Soft Drinks $3.00 Other Drink $9.50 Hot Dog $6.00…

Q: (b) Give an example of a set with a finite number of points that is not se- quentially compact, or…

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Q: Enter your answers in the text boxes Consider the differential equation (DE) 3 i=1 d²iy dx2i…

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Use the inverse of the coefficient matrix to solve the system of equations. x + 2y + 3z = 20 2x + 3y…

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Q: Is (A⇒ (BAC)) ((A^¬C) V (A^¬B)) a tautology, a contradiction, or a contingency? O contradiction O…

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Q: 5. Consider the polar curves having the equations r = 3 sin and r = 1 + sin 0. a. Sketch the graphs…

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