3. Determine the largest value and the smallest value as the function: f(x,y)=2x + 3y - y²-x² can assume in the area defined by the differences x+1 ≥ 0, y + 120 och x+y ≤ 1. -Jun-

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Q: 5. Show that T is a linear transformation by finding a matrix that implements the mapping. Note that…

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Q: Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ +…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

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A: We can solve this using given information

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Q: 4.1. Derive the heat equation with a metal rod with variable cross-sectional area A(x). Using the…

A: here, We have to derive the heat equation with a metal rod with variable cross-sectional area A(x).…

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A: Problem is solved using concept of taylor series theorem.  Thaylor's theorem states that:

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Q: Let S be the set [9] [1.2. (a) How many derangements 9). has the set S? (b) How many derangements of…

A: Given, Set S:1,2,.....9 Derangement is a permutation of the elements of a set, such that no element…

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Q: (c) (i) Find all the square roots of 1 in Z25 and Z32. Find all the square roots of 9 in Z800- (ii)…

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Q: 16 -Σ(Σ») f(x, y, z) = Σ · (x + y + zn?) 2

A: Given: fx,y,z = ∑n=116∑k=1nk-x+yn+zn22

Q: The two directed graphs below are isomorphic. Select one: True False

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Q: Find the present value of payments of $300 made at the end of each six months for eight years. The…

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Q: (b) compute an estimate of x(1.2) for the initial- value problem dx =x²e", x(0.5) = 0.5 dt using…

A: Problem (b) is solved using the second-order Adams-Bashforth Method.

Q: Question 2 Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the…

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Q: 7. (a) Match the differential equation with its corresponding direction field shown below. Circle…

A: a) i)y'=-xy y'=-xyintegrate both side we get,∫dydx=∫-xyy2=-x2+Cy2+x2=Cwere C is constant  hence it…

Q: Q4) Find the root of f(x)= (x^2)-5, in interval [0,4] by using bisection method.

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Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z e N, x + z = y}, where…

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Q: Use the calculus of residues to evaluate the improper integral COSX -dx. (x²+1)³

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Q: (b) How many partitions does the set [10]

A: This is a problem ofcounting.

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+32) sin(t)dt

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Q: O d) the height of corn in a field and the amount of precipitation during the growing season

A: Follow the answer.

Q: 4-G Given that A= (1) AB (ii) B (iii) AT 1-2 1 3 5 0 2 06 and B-3 1 2, determine 4-13,

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

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Q: 4. In a certain year, a postal service would deliver a first-class letter weighing 3.5 ounces or…

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Q: (Hint: On the y-plane, the graph of x = √1-(y-1)2 is a semi-circle.) (b) ( Set up only the iterated…

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Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+ 32) sin(t)dt

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Q: 1. Determine whether the following systems have unique solution, infinitely many solutions or no…

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Q: 1. Solve the difference x²-2x-8 <0. 2. Calculate the minimum distance from the origo to the line y =…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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Q: Let X = (6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 zc N₁ x + z = y), where…

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Q: Question 6 (a) Use the Maclaurin series, In(1 + x) = =x- ²+²-1+ 2 3 4 X to derive the series…

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Q: (a) Set up the Newton's method to solve the following nonlinear system of equations ((,0)=0 Then…

A: given, f(x,y)=3yx2-10x+7=0g(x,y)=y2-5y+4=0let's say f(x,y)=f1   and g(x,y)= f2

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Q: to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt (B) Use Tabular integration

A: By using tabular integration , integrate the given problem...

Q: Q2: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

A: given y=3sin5x-2cos5x find the derivative y'=35cos5x+25sin5x=15 cos 5x+10 sin 5x…

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Q: . (D²+1)y= 10e²x When x = 0, y = 0, y' = 0

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Q: Triangular wave x(t) = t, 0 < t < 1, T = 2 Ao = 1/2, An= -4/(πn)2 for odd n, Bn = 0

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Q: Determine y(t) 2. 18y" +27y" + 13y' + 2y = 0, where y(0) = y'(0) = 0, y" (0) = 1

A: To find the solution of the given differential equation :-

Q: What must be the diameter of pipe in inches which is required to carry 25 gallon per minute (gpm) of…

A: Solution :