1. Write the vector v = 3 as a linear combination of the vectors:

Q: Calculate fff (x, y, z) dS, where S is the part of the plane x + y + z = 2, where x, y, z ≥ 0, and f…

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Q: HW4.4. Suppose that AR= Im . Show that for any beR", the equation Ax=b has a solution.

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Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical or…

A: The given triple integral is :∫∫∫Ef(x,y,z)dVWe have to evaluate the above integral over E where E is…

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Q: Show that Loo (1 COS X (1+x²)² dx кіо π e

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Q: In this question, we investigate the graph (in three-dimensional space) of equations of the form…

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Q: 12. Determine if the following polynomials are irreducible or reducible over Q. Show all your work…

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Q: 15. Find the equation of the tangent line of the given set of para- metric equations at the given…

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Q: The floor plan of a rectangular-shaped room is shown in the figure to the right. If the entire room…

A: we want to find the area of the Floorwe know thatarea of floor=0.219907 sq yards

Q: i=1 6. (a) Given a collection of data points {(x₁, yi)}₁ find the best least squares approx- imation…

A: (a) Given a collection of data points {(x, y)} find the best least square approximation of the form…

Q: (c) Solve the initial value problem y" - 2y + y = 0, y(0) = 7, y'(0) = 4. (d) Solve the initial…

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Q: 1. Express the loss function(L) in terms of x(i), yi), n, 00, 01. ƏL 2. Compute 900 მძი 3. Compute L…

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Q: How many gallons of water are needed to fill a swimming pool that approximates the shape in the…

A: Given that the shape in the following figure:                          .Use

Q: 12. Find the surface are of the object obtained by rotating x = e²y, -1 ≤ y ≤ 0

A: 12. Given,                 To find the surface area of the object obtained by rotating      'x'…

Q: 4. (a) Test the series n=1 for convergence and divergence. (-1)^ (1+x)" 2n n² Hence, deduce that +…

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Q: Assume that you pay 1% interest, on a monthly basis, towards a loan. What is the annual percentage…

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: Sketch the following parametric curves on your work sheet. Attach the photos to this question. 4…

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Q: K For the piecewise function, find the values h( – 6), h(2), h(5), and h(6). -2x-16, for x < -4 h(x)…

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Q: A vector field F and contour lines of a potential function for F are shown in the figure. Já 17 F.…

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Q: Test the series for convergence or divergence using the Alternating Series Test. Identify bn 1 Σ…

A: Let  the given  series  is  Now, , where and

Q: 22. Give power series for the derivative and the integrals of the following function, f(x) = 9x5 1+…

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Q: Draw a directed graph diagram for relation S on {0, 1, 2, 3,4}, where TSy iff x + y = 4

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Q: Use Lagrange multipliers to find the minimum value of the function f Minimum:

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Q: Suppose that (X, d) is a metric space in which every sequence has a convergent sub- sequence. Given…

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Q: Construct a truth table for the statement below, then select the answer that matches your answer…

A: The given statement is .The objective is to construct the truth table for the given statement.

Q: Find the general solution to the linear first-order differential equation: -+ dx 3x x²+1= 1 6x x²+1

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Q: Write an equation for the polynomial graphed below 5+ AA 23 5

A: A graph of the polynomial function is given.To find the equation of the graph.

Q: Calculate the integral of ze²x+y over the surface of the box with 0 ≤ x ≤ 4,0 ≤ y ≤ 7,0 ≤ z ≤ 6.…

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Q: How do you know whether it is associative and has an identity

A: Here, we have to check for associativity and identity element.

Q: Determine the determinant (using cofactors) of the matrix below: 1 -8 -6 -3 -1 -9 -3 0 -1

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Q: The augmented matrix 9 -3 1 9 3 1 0 1 1 4 can help us find the equation of the parabola (shown…

A: We have to find coordinates of A .For this we find the equation of parabola using row operation on…

Q: Justify wether the following is an inner product or not =5x1y1-x1y2-x2y1+2x2y2 where x=(x1,x1) and…

A: By using axioms of inner product we have to show whether &lt;x, y&gt; is an inner product or not.

Q: Let f(x, y, z) = 4xy sin (yz) and F = Vf. Evaluate feF. dr, where C is any path from (0, 0, 0) to…

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Q: 3. Matrix Range, Rank, and Pseudo-inverse Let A e Cmxn and b E C. Show that the following three…

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Q: 4. a) State rectangular Fubini's theorem. b) Evaluate the double integral (using any order of…

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Q: x = t²_1_y=t²¹+5, 0≤t≤1

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Q: [² st x an error less than 0.001. Use the minimal number of terms of the power series to accomplish…

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Q: Theorem (The Principle of Mathematical Induction) For each positive integer n, let P(n) be a…

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Q: Find the directional derivative of f at P in the direction of a. f(x, y) = 11 tan ¹(²); P(-12,12);…

A: Let        we can find directional derivatives of given function f(x,y)

Q: Calculate f(x, y, z) ds for the given surface and function. (r, 0) (rcos (0), r sin (0), 0), 0≤r≤2,…

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Q: t Use Laplace transforms to solve the integral equation y(t) — * e²¹ y(t – v) dv = 3. - /0 The first…

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Q: Suppose that a large mixing tank initially holds 500 gallons of water in which 30 pounds of salt…

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Q: Evaluate the surface integral. xz dS, S is the boundary of the region enclosed by the cylinder y2 +…

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Q: ([:]) - = 2 Let T x + 2y 2y - 5z Determine if the given function is a linear transformation. Find a…

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Q: Problem #3 Let C be the curve with counterclockwise parameterization r(t) = (1-t², t- t³) when -1 <…

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Q: 1. Generate a vector field and insert a screen shot: a) F=

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Q: Suppose that you have a feasible solution to the primal that has objective value 10 and a feasible…

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Q: 6. Let the function f be defined by f(x) = 2x² + 3x + 1 2x - 1 for 2<x<3. Find a constant M

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Q: Find the Z(cos 3n + 2) and Z(n5").

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