Given that f (x, y) = sin Enter a 10 significant figure approximation to the partial derivative a10 f (x, y) evaluated at (x,y) = (3,-1) in the box below.

Q: 36 Calculate the area of cross section using numerical techniques for a rive 200 m wide. if the…

A: calculate the area of cross section using numerical technique for a river 200m wide. if the depth d…

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A: We have to draw graph of give function.

Q: -3 Let m be a real number and M = -69 If M is a linearly dependent set of M22 then m=4 m=6 m=1 None…

A: Let , m be real number. We know that , M2,2 is a set of 2×2 matrices. We have given that ,  M =…

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Q: Find a solution of x that satisfies the equation sin-'(2r) + cos-'(3x) = ;.

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Q: An ellipse has semi-major axis of 4 and its semi-minor axis is 3. The distance from the center of…

A: To find the distance from the centre of the ellipse to the directrix is

Q: 4. Let L:R? - R³ be the linear transformation defined by x-y x+ y 2.x Let S be the natural basis for…

A: The given linear transformation is                 L:ℝ2→ℝ3 defined by Lxy=x-yx+y2x Also given that S…

Q: Let X be the vector space of all or Can we obtain the norm defined on from an inner product?

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Q: Find the Taylor series generated by f at x = a. f(x): %3D —, а %3D3 a =

A: Given function fx=1x. To find the Taylor series generated by f at x = a, where a = 3.

Q: ______ provide a means to predict the value of a function at one point in terms of the function…

A: Given: Let us consider the given statement, "______ provide a means to predict the value of a…

Q: 14. Use the Gram-Schmidt process to transform the basis for the Euclidean space R" into an…

A: We have to transform the given basis into an orthonormal basis for ℝ3

Q: (D2 + 2D + 1)y = 0 ; when x = 0, y = 1, Dy = - 1. %3D %3D

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Q: Equa

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Q: Instructions: For every item given below, determine which kind of algebraic structure it is, and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (a) In how many can the set {1; 2; ........; 16} be partitioned such that each part contains 2…

A: (a) Definition : Partition problem is to determine whether a given set can be partitioned into two…

Q: QUESTION 10 Consider the nonlinear system *= x+ax ,u where a = 15 and u is the input. Determine the…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Find the root using the method indicated. [f(x) <0.0001  f(x) = x² + 2x²+x-1, (0, 1)…

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Q: Perform the indicated operation. Reduce to Rectangular Form 1.1 [2 (cos 25 + i sin 25)] * [5(cos 75…

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Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: 1. Rewrite the specified linear system in matrix form. 2. Rewrite the specified linear system in…

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y = eV1--, y(0) = 0…

A: Given equation: y'=e1-t2-y2 with condition y(0)=0   To find: Maximal interval of existence and…

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A: The ratio between two parts are 5:3. Consider two parts are 5x, 3x. The difference between two parts…

Q: 3) Use the basic definition of a Cartesian tensor to show the following: (a) That for any general,…

A: Solution : Consider a rotation of the (unprimed) coordinate axes through an angle θ to give the new…

Q: I.Let n E N and the functions: fn : [0, 1] → R, fn(x) = So dt 1+t a. Show that for every x E [0, 1],…

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Q: 4. -5, -3-2, . 18th term 5. 16, 11, 6, ., 10th term

A: Part (4) We have -5, -312, -2, .... Subpart (a) Common difference is any term minus the previous…

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: (i) Sketch an odd periodic function of period 8. ƒ(L) = 4 – L, 0<L<4 (ii) Find the Fourier Sine…

A: Fourier series of the function

Q: C. Solve as indicated. 1. How many terms are there in an arithmetic sequence where a, = 12, a, = 60…

A: We have to find the number of terms in the arithmetic sequence where a1=12, an=60 and d=8

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x2 2

A: We have given a differential equation ,  y'' - 2y' + 5y = 4ex cos2x + 52x2 First we will find…

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Q: Find the transform, indicating the method used and showing the details tcost + sint

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Q: 10. Sarah went to a store, spent half of her money, and then spent $10 more. She went to a second…

A: Given detail   Sarah went to a store, spent half of her money, and then spent $10 more. she went to…

Q: Solve the Vandermonde matrix using monomial basis 1 1 1 1 11 1 1 4 8 27 29 65 3 9 16 1 64 125 -234

A: The general form of the polynomial will be, px=a1p1x+a2p2x+⋯⋯+anpnx The monomial basis is defined as…

Q: Derive the differentiat equation From the following relationship elimin atihg the oPional constants…

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Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

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Q: Prove that in any bi-right quadrilateral DABDC, ZC> ZD if PROBLEMS and only if BD> AC. (Assume ZA…

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Q: we must use Theory of Riemann integral

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Q: CLO4: Study the below undirected graph and answer the question following it. 10 1- Apply Kruskal's…

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Q: Problem 1. Solve the differential equation by power series about the ordinary point r = 1: "+ ry…

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Q: 1. Using Linear Approximation, determine the approximate value of the following: Final answers must…

A: Consider the given expression, e2.2; where e2=7.4. Let us consider the function fx=ex and use the…

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Q: 9. Emily spent two thirds of her money. Then she lost two thirds of the money that was left. Four…

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A: Given: Graph with 16 vertices. To find : The 7 vertices whose deletion creates 9 components and the…

Q: NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS  1. D^2 (D-1)y=3e^2+sinx Please  answer this…

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Q: 125 n=410, p0.25, and q= 1-p. p-p Evaluate the formula z= when 410 pg (Round to two decimal places…

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Q: yt Va2+y² dy dr ; when x = v3 , y= 1 ||

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Q: 6. Solve the equations. Sketch the circle with triangle(s) & 0 & length of each side in its proper…

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Q: 2. Calculate the instantaneous rate of change of g at the point (4, 1,0) in the direction of the…

A: Please see the attachment