What is the partial derivative, ә ду [x²y³ - 2xy + x³y-2-2x]? 3

Q: K Graph the given functions, f and g, in the same rectangular coordinate system. Use the integer…

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Q: could it be solved in gaussians method?

A: Yes  , it can be done with Gaussians method. The process reduces the augmented matrix to a reduced…

Q: Prove that the maximum number of points with rational coordinates on a circle whose center is…

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Q: Use cylindrical coordinates to find the integral z dz dx dy.

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Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 56. Use the…

A: The region is bounded by the graphs fx=x2 and gx=-x+56. We have to find the centroid of the region.

Q: E. Determine the directional derivative of f(x, y, z) tan where u = (-1,2,2) at P(0, 1, 1).…

A: Given: fx, y, z=tan-1xy22z2-1. To Do: We have to find the directional derivative of the given…

Q: Use the circle graph to answer the following questions. a. Which is the largest continent? b. Which…

A: Given data are (in %) Earth's land of Asia=27 North America=15 Africa=19 South America=13…

Q: Suppose x = 2u - 4v + 1w and also x = -lu - 2v+2w. Find another solution: X = +[v+]w V+ W u+

A: We are given         x = 2u - 4v + 1w      . . . . . . . . . (1)    and x = -1u - 2v + 2w    . . . .…

Q: (Problem 3.5 in the book.) Let b > 0. Prove that if-b ≤ a ≤ b then |a| ≤ b. Hint: Use cases: First…

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Q: Question 1. Determine whether the following limits exist, and justify your answer. (a) (b) lim…

A: 1. (a). Given,                    limz→0Arg(z).

Q: iv) A particle moves in the plane in such a way that its position (x₁, x₂) at any time t satisfies…

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Q: (8) Sketch the following region on a cylindrical coordinate system. Label your axes! Also describe…

A: Given region 1 ≤r≤ 2, 0≤θ≤ 2π, 0 ≤ Z ≤1

Q: 5. Let B = {b₁,b2}, where b₁ = √(1,3), b2 = √(-3,1). (a) Specify the transition matrices Ps,B and…

A: The given vectors are b1=1101,3, b2=110-3,1. The given line is y=3x.

Q: Can we make the matrix D = A₁ A₂ A3 = = = A₁ = -5 -91 1 9 17 - [224] Answer: 17 -34] ย 5 -8 61 0 1 D…

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Q: Which of the following degree sequences are possible for a simple graph? A. (9,9,8,9,9,9,9,8,8,8) B.…

A: The Given Degree sequences are  A) {9,9,8,9,9,9,9,8,8,8} B){6,2,5,5,5,5,4,1,5,6} C){4,4,2,5,3,1} D)…

Q: A Hamiltonian cycle in a graph G is a cycle containing all vertices of G. This notion may seem quite…

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Q: 7. Consider the function f(x) that satisfies the following conditions: f(x) is continuous for all x…

A: The function fx satisfies the following conditions, fx is continuous for all x except x=-4, x=0 and…

Q: If x and y are 3−cycles in Sn, prove that ⟨x, y⟩ is isomorphic to Z3, A4, A5 or Z3 × Z3.

A: If x and y are 3−cycles in Sn We have to prove that ⟨x, y⟩ is isomorphic to Z3 , A4, A5 or Z3 × Z3

Q: Consider the function f(x) = (x - 1)²ln(x). (a) Find a formula for the Taylor series of the function…

A: Given a function: f(x)=(x-1)2ln(x) (a) To find the formula for Taylor series expansion of the…

Q: 9. 39 6 3 -2 -1

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Q: "ind the family or vector-valued functions whose second derivatives dt² (-2 cos(t), 6). (Your inst…

A: Answer given below.

Q: Determine whether the function is a linear transformation. T: P₂ → P₂, T(ao + a₁x + a₂x²) = (a + a₁…

A: Linear transformation :  Let 'U' and 'V' be two vector spaces over the field of 'F' . Then a…

Q: st 2 3 n 4 K Find the average rate of change of the function over the given interval. y = √√√5x+1;…

A: The average rate of change of the function y=f(x) over the interval [a,b] is  (f(b)-f(a))/(b-a).

Q: 9. The following system has been proposed as a model of the population dynamics of two species of…

A: Given: The model of the population dynamics of two species of animal that compete for the same…

Q: The conical tank shown here is filled with olive oil weighing 47 lb/ft³. How much work does it take…

A: The conical tank shown here is filled with olive oil weighing 47 lb/ft33.we have to find how much…

Q: state formally the Heine-Borel Theorem in R^k

A: Let S be a subset of ℝk. Then the Heine-Borel theorem states :

Q: solve the given initial-value problem. Q. x′1 =− 3x1+4x2, x′2 =− x1+2x2, x1(0)=2,x2(0)=1.

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Q: - - Consider the ordered bases B = {3x − 5, 8 – 5x} and C = {−(4 + 4x), 4x −4} for the vector space…

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Q: Find the length of the chord xXpower{2}+y\power {2}-4y=0 along the line x+y also find the angle that…

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Q: show your work neatly and clearly Write the equation of a line that passes through the given points…

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Q: Question 2. Determine for which values of z, the series ∞ Σ(zn-₂n+1) 7-0

A: given series=∑0∞(zn-zn+1) Where z is complex number

Q: 8. The probability density function is f(x) = k(3x² - 1) -1≤x≤2 =0 otherwise Find (i) the value of…

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Q: 4. Do the following task. a. I :) State formally the definition of infinite series Σan in R. n=1 b.…

A: We can solve the given question.

Q: log likelihood. Concretely, assume a classification problem with c classes • Samples are (x(1¹),…

A: As per the question we are given a probabilistic model of a classification problem and we have to…

Q: MATH . For each of the following series, determine whether the series converges or diverges. (Sum…

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Q: 0 -1 1 -1 4 2 1 Let A denote the matrix 2 After performing one elementary row operation on A, we…

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Q: A company makes two types of electronic devices: laptops and tablets. Its business plan says that it…

A: This is a linear programing problem. We will solve this by graphical method.

Q: 6. y'= -2xy, y(0) = 2; y(x) = 2e-x² 2x3

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Q: Prove that for any two edges of a 2-connected graph, a cycle exists containing both of them.

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Q: Find all x-values where the function g(x) = 13x + 13sin(2x) has a horizontal tangent line. Select…

A: The given function gx=13x+13sin2x. We have to find all the values of x such that the function has a…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Given differential equations are xy2dy/dx= y3-x3 And dy/dx= cos(x+y) and y(0)=π/2

Q: dx dt = (x - 1)(x+2)

A: To sind the equilibrium solutions and its nature.

Q: (i) Show that a subset A of a topological space X is closed if and only A = A (ii) Prove that A…

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Q: True or False? If u and are nonzero vectors, then Span{u, v} contains the line through u and the…

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Q: 2b. In R show that : || x - y || || x + y || ≤ 11x11 ² + 11y11²2² -(1

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Q: 10. An urn contains 6 white and 4 black balls; 3 balls are drawn without What is the expected number…

A: Given that An Urn contains 6 White and 4 Black balls. Here we need to draw the three balls without…

Q: b₁1 Multiply the following two matrices to obtain the product matrix B. 1 2 0 b31 = b21 = = b12 =…

A: we need to find product matrix B and elements of B

Q: 2. Set up the integral to find the exact length of the curve Completely simplify the integrand X = +…

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Q: ex(ydx+dy)+e(dx+xdy)=0 HINT: The ODE is exact

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Q: Priya is trying to determine if triangle ADC is congruent to triangle CBA. She knows that segments…

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