Use the keyhole contour to show that dx а. V3 2n? xl/3(x + 1) logr b. -dx c1/3(x + 1) 3

Q: Find the function y, of t which is the solution of 49y" + 14y'- 35y = 0 with initial conditions Yı (...

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Q: Use Green's Theorem to evaluate the line integral of F (x°, 9x)

A: Given, the line integral of F=x3, 9x around the boundary of the parallelogram in the following figur...

Q: Assume the terms of a sequence (a}=1 are given by the following formula: 22 2n3 32 +... an %3D 2n3 2...

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Q: Find an expression of the form E an that represents the total expected number of transactions n=1 wh...

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Q: Given the probability mass function below. What is P(X < 5)? Sample point xX 1 2 4 P(X= x) 1/9 2/9 3...

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Q: The curve C have the parametric equation: x(t) = t² + 1 and y(t) = t³ – 1 a) Make a sketch of curve ...

A: In the Cartesian coordinate system, the parametric equations use a third variable(usually "t") to de...

Q: An operator T: IR" → IR" is called a self-adjoint operator if [T]®p is a symmetric matrix, where B i...

A: I will find the matrix associated to the given linear transformation and check whether it is symmetr...

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2+ sin x and y = 0 from ...

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Q: An accounting firm has 900 hours of staff time and 100 hours of reviewing time available each week. ...

A: The complete solution is in given below

Q: A is a 4 x 5 matrix and rank(A) - 3. Choose from the following options the statement that is true fo...

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Q: 3 b. X and Y are two events, P(Y)==, P(X|Y)=, and PYoX 10 %3D %3D Find P(XnY) and P(X).

A: Given P(Y) = 35, P(X/Y) = 23     and   PY ∩ X = 310

Q: tangle ABCD is rotated by 90 degrees clockwise about the origin and then translated nits left and 2 ...

A: Given the rectangle and it is rotated 90°clockwise and shifted 3 units left and 2 units down.

Q: A school has x balls and y bats.The total number of bats and ball is no more than 30: Write inequali...

A: A school has x balls and y bats. And the total number of bats and ball is no more than 30. We have t...

Q: A company produces a special new type of TV. The company has fixed costs of $488,000, and it costs $...

A: Given, a company produces a special new type of TV. The company has fixed costs of $488000, and it c...

Q: Find the general solution of the differential equation y" – 10y + 106y = 0. NOTE: Use c, and cg as a...

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Q: Which of the following equations is not a variable separable? dy dy ту + 3х — у — 3 (a) e30+2y (b) d...

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Q: Factor 5 + V3 in Q(/3).

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Q: Consider matrix A below. Find all real number values of c for which A is diagonalizable. 0 1 c A = 0...

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Q: Find the general (real-valued) solution of the following differential equations. If an initial condi...

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Q: , Let U = {n|n is a whole number and 2 sns 25), S = {nn E U and n is a square number), and p= {n n E...

A: We have to find set with given condition.

Q: Prove that every algebraic integer divides a rational integer.

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Q: 4. Suppose you are given equations of two overlapping circles as a. Determine how to find the points...

A: If two circles are  overlapping then we find  two points of intersection.

Q: A is a 4 x 5 matrix and rank(A) - 3. Choose from the following options the statement that is true fo...

A: A is a 4×5 matrix with rank (A) = 3 

Q: Evaluate: Σ-Σi-2(2-1) 5-j (i+1)² 14 j=1Zi=2

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Q: Which of the following function f: Z x Z Z is not onto? 2020 a. f(a, b) = a b. f(a, b) = lbl c. f(a,...

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Q: Find JA-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding |...

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Q: 5. Homework. Let a and b be integers. If 7| (17a + 256), prove that 7 | (10a + 11b).

A: Introduction: Divisibility is the base of number theory. For an integer, it can divide an integer la...

Q: Linear Programming. Q1 Minimize z = 0.6x1 + 0.35x2 subject to: 5x1 + 7x2 > 8 4x1 +2x2 2 15 2x1 + x2 ...

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Q: Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve (if...

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Q: Write an iterated integral for dA over the region R described to the right using R a. vertical cross...

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Q: 2 2 If C is the part of the circle E) + ) = 1 in the first quadrant, find the following line integra...

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Q: Show that -p → (q → r) and q → (p v r) are logically equivalent. Show your work and justify each one...

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Q: -3 1 4 -24 1 Are the vectors 3 and -5 linearly independent? 12 -1 -4 3 -5 7 Choose If they are linea...

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Q: The gradient vector field of f(x,y)=cos(x) - 2sin(y) is: O1. f(x,y)= cos(x) i - 2sin(y) j II. f(x,y)...

A: Given vector field is fx,y=cosx−2siny. We have to find the gradient vector field. Differentiate fx,y...

Q: Please prove the following statement is false with mathematical reasoning, example and graph If f(x;...

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Q: Let x be a natural number with a bi 1 hita rith

A: Given, x be a natural number with a binary representation where the difference between the number of...

Q: Find the area of the region inside the circler= - 4 sin 0 and outside the circle r= 2. ... The area ...

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Q: A steel company has two mills. Mill 1 costs P70,000 per day to operate, and it can produce 400 tons ...

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Q: Rewrite the following linear programming problem using slack variables, and determine the initial si...

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Q: let a and b be integers, if 7|(17a+25b) then prove 7|(10a+11b)

A: 7 | (17a+25b)  =&gt; There exist some integer k such that       17a+25b = 7k

Q: Foctors of 18

A: Factorization of the number is obtained by the writing the number as the product of prime numbers A ...

Q: Let Mı5(IR) = {A/A and 15th order square matrix with real elements} and consider the linear operator...

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Q: Let R be the divisibility relation (|) on A = {3,5, 6,7, 10, 20, 30}. We know that (A, |) is a poset...

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Q: Rewrite the following linear programming problem using slack variables, and determine the initial si...

A: The given linear programming problem is                                            Maximize P=3x1+5x...

Q: Prove that if {Vi, V2, v3} is linearly independent, then so too is the set {u, u2, u3 where u = V - ...

A: Introduction: Linear dependence and linear independence of a given number of vectors are very signif...

Q: Problem 3. Consider the function Sa³ sin(1/x), x > 0. S(x) = 0, x < 0. (i) f'(0–). Compute the right...

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Q: Find the function y, of t which is the solution of 49y" + 14y'-35y = 0 with initial conditions Y1 (0...

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Q: xp (xi +x² + 1) dx 1 3 x(x +2x+ 1) dx 3

A:  Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and ...

Q: 1. The formula for a lincar transformation T is given below. Determine if the transfor- mation is on...

A: Solution:-

Q: The sum of the length / and the width w of a rectangular area is 240 feet. 1. Write w as a function ...

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