-2 5) Are following functions Sin²x, sin (x²), lux, (x² +1) J ^ even or odd or xe tanx neither even nor oddy

Q: Calculate and describe the point of inflection for the following function: f(m) =  m³ - 3m² - 9m+7

A: Please refer to the solution in next step.

Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

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Q: let IF be an ordered field, not necessarily complete. prove or disprove the following claims: A² =…

A: a) To prove that A2=A.A, we need to show that every element in A2 can be written as a product of…

Q: [15] (2) Consider the function f: R² → R, f(x, y) = x² − 2xy + 2y² Determine Vf. a) b) c) d) GIVEN:…

A: Sine you have posted a question with multiple subparts we will solve first three subparts for you.…

Q: Consider the function ƒ: R² → R, f(x, y) = x² − 2xy + 2y² Determine Vf. GIVEN: The point Po (2, 1)…

A: a) given f(x,y)=x2-2xy+2y2 Here ∇f=i∂f∂x+j∂f∂y=i(2x-2y)+j(-2x+4y) b) given point P0=(2,1) and…

Q: Give your answer as a percentage, accurate to three decimal places. Over the first five years your…

A: Over the first five years your investment has the following yearly rates of return: 3% -7% 4% -5%…

Q: B. Let N be the set of natural numbers, A = {1, , , , ...}, B = { ½ : 1 ≤ x ≤ 10, where a € N} .…

A: 10. We are given that         B = {1/x : 1 ≤ x ≤ 10, where x ∈ N}      Then, in set-roster notation,…

Q: Give an example of the associative property of addition of whole numbers. Choose the correct answer…

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Q: AT A = 20 03

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Q: Prove that lim în + lim Yn ≤ lim (xn + Yn) n→∞ n→∞ n→∞ if the left side is not of the form (-∞) +…

A: Solution:  We  have  to  first  recall  the  definition  of limit  inferior. Let  un be a bounded…

Q: you provide explanations for

A: For given matrix we have to find characteristic equation, characteristic roots, corresponding eigen…

Q: Solve the linear programming problem using the simplex method. Maximize subject to P=2x₁ + 3x₂ + 4xg…

A: Max P=2x1+3x2+4x3s.to x1+x3+s1=24       x2+x3+s2=18

Q: A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying…

A: A chemical manufacturer wants to lease a fleet of 24 railroad tank cars. x1+x2+x3=24 Let x1 be the…

Q: Find the equation of the graph. The equation of the graph is (Simplify your answer. Use integers or…

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Q: Problem #8: Consider the following initial value problem. 0 1 ≤ 3 3 < t < 5 0 5 <1 00 Problem #8(a):…

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Q: Let D₁ = {x E RI-i ≤x≤i} = [-i,i] for all nonnegative integers i. (If i = 0, then Do = {0}.)…

A: The difference of two sets A and B is the set those elements which are in A but not in B .

Q: Consider the system =y+az(1−b-r-y), j=-x+ay(1− z −y) 0<a ≤ 1,0 <b<1. Prove there is at least one…

A: An isolated closed invariant curve is called a limit cycle of no nearby trajectories are closed.

Q: Give your answer as a rate, accurate to five decimal places. What loss would offset a 13% gain?

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Q: A fence is to be built to enclose a rectangular area of 300 square feet. The fence along three sides…

A: The area of the rectangular field is 300 square feet The fence along three sides is to be made of…

Q: Activity 8.3.8. Use the Limit Comparison Test to determine the convergence or divergence of the…

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Q: [15] (4) GIVEN: z = f(x, y) = x²y, where (x, y) is subject to the constraint: T: x² + xy + 7y² 27, x…

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Q: Which of the following is a power series representation of the function F(x) = O O O 5 n=0 L~"(-7) –…

A: Given that the function Fx=-7x4-4x3x+4   .

Q: Standard form meaning 1) (x-h)2/a2-(y-k)2 b2 for a hyperbola  2) (x-h)2/a2+(y-k)2 b2 for an…

A: 9x2-4y2-36x-24-35=0

Q: Pensions Your pension plan is an annuity with a guaranteed return of 4% per year (compounded…

A: To calculate the quarterly pension you will receive after retirement, we need to determine the total…

Q: 7 Determine whether the set 7 h 7 is a basis for R³. If the set is not a basis, determine whether…

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Q: At Taste of Thyme coffee shop a dirty chai latte creates a profit point of $2.85 for a small and…

A: In the problem statement, it is given that in a month, the alloted machine time for both the lattes…

Q: Define a set S of integers recursively as follows. Base: 0 ∈ S Recursion: If k ∈ S, then II(a). k +…

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Q: Compute the surface integral over the given oriented surface: F = y³i+ 6j – xk, - JS, F. ds =…

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Q: 3) Find the laurent series expansion for : 1 a) z² sin 2, O<IZI<R A

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Q: Consider the sequence (bn)n≥1 defined recursively as b1 = 1, b2 = 3, b3 = 7 and bk = 2bk-1 + bk-3…

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Q: (2) an -1 Answer: Consider matrix A = scalar product w. y. [Please enter your answer numerically.…

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Q: 41-42 Evaluate the triple integral using only geometric interpretation and symmetry. 41. (4+5x2yz2)…

A: An integral ∫∫∫C4+5x2yz2dV where C is the cylindrical region x2+y2≤4 , -2≤z≤2. To Find: The value of…

Q: b) Is 1 -2 an eigenvector of 1 367 337 565 ? (say why). If so find the eigenvalue.

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Q: EQUATION μAu +(2+4) good du + f + pü where M, 2. p ore constants u= u(x), f = f(xi) are vector…

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Q: (a) Consider lim (x² - π²) X→π sin(x) What does the numerator approach as x → π? What does the…

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Q: Match each of the functions (a)-(c) with the corresponding gradient vector field from those in…

A: We have to match the gradient vector field

Q: b) Use cofactor expansion along an appropriate row or column to compute he determinant of -20 B = 0…

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Q: Consider A= 1 24 1 2 3 6 2 -5 1 -9 3 2 -4 2 5 -15 3 -6 ● a) Find the nullspace of A (Nul(A) =…

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Q: Solve the following initial value problem y" - 2y + y = 0, y(0)=-1, y'(0) = 2 (You must show your…

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Q: Question 1 Let A be the set A = {3,4, 8, 9, 12, 24, 54). Determine whether the following…

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x…

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Q: 8) Evaluate the integral: J (VF) dv over the region x² + y² + 2² ≤ 25, where F = (x² + y² + z²)(xi +…

A: Divergence in spherical coordinates

Q: Problem 1. Given the curve Find the following at point P(1,0,0). the curvature for this curve. r(t)…

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Q: The total price of the bike part is $78.88, which includes 7% tax and a 24% discount. What is the…

A: Total price of bike part=$78.88 Which including 7% tax and 24% discount. let sticker price of part…

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A: We are given that           v(t) = rate of video-hours uploaded per year               = 1.1t2 -…

Q: Consider the matrices A Is B the inverse of A? OTrue ( 1 1). and B - /0.25 0.5 0.25 0.25 -0.5 0.25,…

A: A matrix B  is called invers of A if their product gives identity matrix. i.e. AB=I

Q: 3. Transform into standard form and identify the conic sections: a) 92²-4y²-36x-24y-35-0. b) x²-3xy…

A: 9x2-4y2-36x-24y-35=0

Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: d) Find the Möbius transformation that maps. ii) i 0, -36+2i, ∞ →→2i

A: We know, the general form of a mobius transformation is given by       f(z) = (az + b)/(cz + d)…

Q: Let S(x) be a natural cubic spline that passes thorugh the points (-1,1), (0,2), and (1,1). Then,…

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