Find fy if f(x, y, z)=1-2xy²z+x²y yxy B) -4z O A) 4z O C) -4 O

Q: Banach space and T E B(X) an operator TI

A: To prove, id+T=1+T Take X be the Banach space and also B(X) be the Banach space with T=supTv

Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

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Q: Find the particular d²y equation dx² solution of the differential 4dy + 4y e2x = dx x²

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

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Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

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Q: The integral (ydx - xdy) is evaluated along the circle x² + y² = traversed in counter clockwise…

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Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

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Q: Q1: Answer all points a) Calculate (i) 23% of 15.34 (ii) 10 % of 15.34. b) A salary of £5 240 is to…

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Q: method and Gauss-Seidel method to sol Tol = 1 × 10-4. Show the detailed calcul 1 -X1 + 1/2 X 2 + —…

A: There are three iteration given. Gauss Seidel method can be used.

Q: K(-2, 4) is a point on the terminal side of 8 in standard form. Find the exact value of cose.

A: If θ is in terminal side of the point a, b. It follows: a=cos θ and b=sin θ

Q: Draw the bodies with the direction markers and sketch several solution curves, including the curve…

A: We will find equilibrium solution and then direction of tangents to decide solution curve .

Q: d. What letter or letters represent 2 × 3? 0.7 A C D E G H KL BO CO DO E HOIO J 0.5 B F A O FO GO…

A: To find- What letter or letters represent 2×3 ?

Q: 2. Find the Standard Equation ellipse with the following charact

A: Given,                          foci:±4, 0 Major axis of length: 1

Q: 5) Find the inverse of the function f(x) = (x − 3)² + 2, x ≥ 2. Also write out the check. Then graph…

A: Given f(x)=(x-3)2+2, x≥2   To Find: the Inverse of the function f(x) and the graph both the function…

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

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Q: The auxiliary equation for the given differential equation has complex roots. Find a general…

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Q: b.) Find the root of f(x) = 2x³-5x+2 using Method of successive substitution

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Q: Solve the given initial value problem. y'' + 6y' +9y=0; y(0) = -5, y'(0) = 14 What is the auxiliary…

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Q: Let R be the set of all real numbers. Determine every function g: R → R such that for all real…

A: We need to find all functions g: ℝ→ℝ such that  g(a2+b+g(b)) = 2b + (g(a))2.

Q: Solve ( sin θ - 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0 a. r sin^2 θ - r^2 cos^2 θ = c b.…

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Q: Use Bisection method to find the root of the following equation then choose the correct answer:)…

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Q: Find the solution √√y³(x-2) (5xy' +4y)=2

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Q: Solve the given initial value problem. y"-10y' +25y = 0; The solution is y(t) = y(0)=-3, y'(0) = -…

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Q: (c) 60 70 M 30 14 6 10 | | 3 5 7 2 20 바 30 6 3 60 20 10 | 5 70 14 7

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Q: The integral (ydx - xdy) is evaluated along the circle x² + y² - traversed in counter clockwise…

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Q: don't the answer written in this format. Could you please draw and send a picture

A: Solution

Q: 7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that…

A: Given that the plane contains the point A(-5, 2, -4) and two direction vectors, AB→=(4, 8, 1) and…

Q: Solve the following system equations using "Solver" function : 3A+4B-5C-11 -2A+6B+2C=7 A-9B-4C=0

A: The solver function in Excel is used to solve a system of equations (linear or nonlinear).

Q: Find the root of x² - 1000 = 0 using Newton's law of approximation

A: We have to approximate the root of x7-1000=0 now we have f(x)=x7-1000,  f'(x)=7x6 Newton's law of…

Q: 1. Find the linear equation that best fits the data shown. X 1.5 2.5 3.5 4.5 F(x) 3.4 9.7 10.3 15.4…

A: The given problem is to find the best fit linear equation for the given data. We can use least…

Q: Let R be the set of all real numbers. Determine every function g : R → R such that for all real…

A: We need to find all the functions from ℝ→ℝ that satisfy g(a2+b+g(b))=2b+g(a)2.

Q: dy/dx of the function (x³ - 2y² + xy = 0) at the point (1,1) is: B) 2/3 A) 4/3 O C) 5/3 O

A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…

Q: blem is finding the ze a function defined bel

A: Given that Riemann Zeta function can be, ζ(s)=∑n=1∞1ns

Q: Find the least square line y = f(x) = Ax + B for the following data. Xk -2 -1 0 1 2 1 Ук 2 3 3 4 8

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Q: 6. Let f(r) be a function such that: |S(-1)| F(-1)| FED) (-1) | S -1) | f'(-1) | ƒ"(-1) | ƒ""(-1)…

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Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

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Q: Find the approximations 7 M and S, for n-6 and 12. Then compute the corresponding errors E, E and…

A: We are given the following expression.       ∫0239x4dx Here, a=0, b=2, and n=6. So, we get…

Q: Use one of the two comparison tests to determine whether the series converges or diverges. n²-1 7n5…

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Q: The volume determined [2, 3] x [1, 2] x [0,1] will be (in integer) from ff, 8 xyz dv for V:

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Q: - Find the aera under the curve y = cosx Form x = 0 to x = -fx sec² (ax² )dx a#0

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Q: y′ − (4x − y + 1)² = 0_y(0)=2 - Use the substitution u=4x-y+1 and follow the method of general…

A: given differential equation y'-4x-y+12=0 initial condition y0=2

Q: b.) (-38/135 +65/70) (3 + 4i) 5 + 2i

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Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

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Q: Find the solution of the following nonlinear equation x-e* = 0 using the Newton method, start with…

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Q: 4. Express each of these statements using predicates, quantifiers, logical connectives, and…

A: To find- Express each of these statements using predicates, quantifiers, logical connectives, and…

Q: 3) Let r1(t) = and r2(t) = be two skew lines. Find the equation of the plane which lies exactly…

A: Given: Skew lines r1(t)→=t, t+2, 2t and r2(t)→=t+1, 2t+1, t+1 To find: Equation of plane which lies…

Q: Show illustration and detailed solutions. A rectangle is inscribed in a right triangle, 5 by 12 by…

A: To find- A rectangle is inscribed in a right triangle, 5 by 12 by 13 units. What are the dimensions…

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

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Q: Let X be a Banach space and T E B(X) an operator with ||T|| € (T). Show that || id +T|| = 1+ ||T||.

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Q: Obtain the nth term of the pover series of In(1+x) for the power n= 5 and for a value of x = 0.80

A: To find: The nth term of the power series of In(1+x) for the power n= 5 and for a value of x = 0.80.…