6. Evaluate the following integral to calculate the mass Mass = ffr (x + 2y) dA where R is the region shown in the figure. y =x tア= R

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A: Introduction: The formula of linear approximation of two variables function f(x,y) is given by, f(x,...

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Q: 1 2 3 4 -2 3. 3. 2. 3.

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Q: 3. Let E beE E. Suppose th

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Q: f(x) = alog,(cx d) the x -axis and the line x = 9 using Midpoint Riemann Sum with 8 equal intervals ...

A: 1st we will find range of blues of x and then divide it into 8 sub interval. Then apply mid point ru...

Q: 8 2. Find the value of the determinant |A| -3 7 -4 [-1

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Q: Exercise 3.11. Consider the following two functions: 1. f:R → R defined by f(r) = 4x – 15. 2. g : R→...

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Q: Exercises Find the area of each circle. Use 3.14 for T. Round to the nearest tenth. 1. 2. 3. 7in, 22...

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Q: f (x) = log2(x + 8)

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Q: Question 4. At 60 degrees N, how many miles are between 30 w and 50 E?

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Q: Solve the given system of linear equations using Gauss elimination. 2х — Зу + z — 2w %3D — 12 3x + y...

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Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

A: To solve the below system of equations. 52x+67y+46z=17567x+73y+54z=19446x+54y+65z=165

Q: 565+5355*255=

A: We use the BODMAS rule in order to simplify expressions with multiple signs.BODMAS stands for - Brac...

Q: The formulas A →(B ∧C) and (A →B) ∧(A →C) are logically equivalent. For this problem, you are going ...

A: This is a problem of the Propositional Logic.

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Q: Bijective A function is bijective if it is both 1-1 and onto. Prove that the function below is not b...

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Q: 2. Find the inverse transform of the following function 1 f(t) = s²(s – 1)2

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Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die show...

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Q: he simple interest charged on a 6-month loan of P18,000 is P918. Find the simple interest

A: principal P = P18000 time = 6years =612=12 the interest I = 918 The formula for the simple interest ...

Q: 5. f(x) = 2x2 – x + 6 for all values of x %3D 6. f(x) = at x = 2 %3D X-2

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Q: (c) Let V and W be given as above. By using linear extension method, determine whether V is isomorph...

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Q: 2.) Determine the first four terms of the power series for sinx.

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Q: Calculate the simple interest due on a 45-day loan of P1,600 if the interest rate is 9%

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Q: I Find the differential equation of the family of plane curves described, Draw at least three member...

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Q: Set up the initial simplex tableau corresponding to the following linear programming problem. object...

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Q: f(a1,a2,a3) = a1 + 2a2 + 3a3 subject to a12 + a22 + a32 = 56 Above defines an optimization problem....

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Q: A family with 13 members sit in a round table for dinner. How many ways can the member of the family...

A: We have to find that , the number of ways 13 members can sit in circular table.

Q: Let A be the point with coordinates (3, -7, -2), let B be the point with coordinates (1, -9, -4), le...

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Q: QUESTION 5 Suppose that g(3,4) = 2, 9,(3,4) - 6. and g,(3,4) =3. What is the value of the diferentia...

A: Introduction: For a multivariable function fx,y, the differential is expressed as df=fxdx+fydy      ...

Q: Please see attached image...

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Q: Transform the determinant into a triangular determinant and get its determinant. 8. 6. |A| = -3 7 -4...

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Q: Problem 3. (a) For invertible matrices A, B E R"X", show that ((AB)")-1 = (A-')"(B-')". (b) Let A, B...

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Q: Question 2 Find the line of best fit for the data set: (1,2), (2,3), (4,1). y= 3 – a Oy = 2 – r Oy =...

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Q: Find the number of distinguishable permutations of the letters in each word below. (a) bigger (b) Bi...

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Q: In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modi...

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Q: (i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine th...

A: (i).

Q: Question 1 (a) Let u, v and w be vectors in R³. The volume(u, v, w) is given by determinant of (u v ...

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Q: Exercise2: Prove that the Laplace Transform of step function: (10120 10 X(s) = x(t) ={ |0 t<0

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Q: 94° (4x + 30)° All Char

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Q: Consider the set X E R? defined by the system of inequalities X = {R² : -xı+ x2 0, x2 > 0}. (a) In ...

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Q: How many 5-digit numbers can you make using the digits 0-9 without repeating the digits? *

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Q: Calculate the number of paths of length 10 starting at the vertex 1. How many of these paths end at ...

A: We will use the fact that if A is the adjacency matrix of a graph .Then the number of paths of lengt...

Q: 1. Given the function ,2 10x + 107 x > 10 f(æ) = {* - f(x) 10x + 7 x < 10' Answer the following: (a)...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: Prove that 00 e e-Xx"dx i! i=0

A: Introduction: Some integrations can be expressed using the recurrence relation. When one function of...

Q: Given the systems of linear equations below: 2y + 5z = 21 5x + 4y 2y - 5z = 5 3x = 37 Determine the ...

A: Here given equations are 3x - 2y + 5z = 215x + 4y = 37x - 2y - 5z = 5 

Q: )sin 2x

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Q: Let W be the subspace of R* with an orthonormal basis S = {w,,W2, W3}, where (0, 1, – 1, 0), w, = ¿(...

A: Given:- Let W be the subspace of ℝ4 and orthonormal basis S=W1,W2,W3 w1=12(0,1,-1,0)T,w2=12(1,1,1,1)...

Q: 1. Let U24 = {z € C|224 = 1}. Define $24 = cos () + i sin (5). %3D (a) List all subgroups of U24 and...

A: The given question is related with group theory. Given that U24 = z∈ℂ | z24 = 1 . Define ξ24 = cosπ1...