For the Cartesian equation of the plane : -2x+y-4z +12=0, find: a) 3 points on the plane b) the parametric equations of the plane

Q: . Use operator / elimination method to solve the given system dx dy 2x + 2y + 1 dt dt dx dy y + 3 dt…

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Q: 1. Based on the data, what is the mean nominal wage? A. 123.26 B. 291.81 C. 350.00 D. 358.88 2.…

A: Part (1) The nominal wages are: 537, 350, 340, 360, 400, 400, 320, 310, 395, 386, 315, 316, 365,…

Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

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Q: Solve. The same way to ask the solution Find the general solutions of the system. 400 x' = -595 x…

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Q: Given the system below, 3x₁x₂2x3 = 7 X1 + 7x2-3x3 = -19 x₁2x₂ + 10x3 = 71 Use the following method…

A: The Gauss-Seidel method and the Gauss-Jacobi method are iterative processes that are used to…

Q: 3. How would you find the total volume of the discs shown in the shape below (assume each disc is…

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Q: y = -x^2 + 4x + 3, y = -x^3 + 7x^2 - 10x + 5, x = 1, x=2* 4.083 sq. units ○ 4.183 sq. units O 4.283…

A: We know that the area between the curves can be evaluated by double integration method. We will find…

Q: Suppose you wanted to know the solution to the following system of linear equations. 50x − 6y = 15…

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Q: Describe matrix multiplication of two matrices A and B in terms of linear functionals (the linear…

A: Solution:-

Q: Find the general solutions of the syst

A: Given,         x'=400-595004x

Q: f: R → R. be a function given by f(x₁,x2,...,xn) = x².x..., where = 1. Show that the maximum of…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: (c) Let D be a square with sides 0≤x≤ 2 and 0 ≤ y ≤ 2. Estimate the following integral ff (x + 1)"…

A: Solution: Given integral ∬Dx+1ydxdy , 0≤x≤2 & 0≤y≤2 Now, ∬Dx+1ydxdy=∫02∫02x+1ydxdy

Q: Q1 Solve the ordinary differential equation y'+4y=3x³, using Runge-Kutta method wit Xo-0. Yo 1,…

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Q: J (2e + + In 2) dr dx

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Q: (a) Let f: R→ R be a function given by f(x1,x2,...,xn) = x².x²...x², where n = 1. Show that the…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Show that there is no simple group G of order 33, 34, 35, 38, 39, 42, 44, 46, 50, 51. Show that…

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Q: The bases of a trapezoid are 48m and 98m and a height of 61.02m. The angles at the ends of the…

A: Introduction: Area is the space covered by the object or any geometric figure. It is the region…

Q: If the Laplace transform of a function ƒ is defined and denoted by F(p), find an expression for the…

A: The solution is given as

Q: 9. Which of the following subsets of M₂(R) forms a subspace? b ∞ {{ $||×+4=1} (a) a +d (c) {(%…

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Q: Use the method for solving Bernoulli equations to solve the following differential equation. dy y +…

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Q: 2 }x -1 dx integralini Simpson's yöntemini kullanarak yaklaşık olarak 1 hesaplayınız. 2 Use the…

A: Given integral is ∫12x−1dx. We have to evaluate the given integral by using the Simpson's Rule.…

Q: Find the general solutions of the system. 3 -8 0 -4 0 3 0 0 x'= 12 -24 -1 -12 0 -8 0 -1 x(t) =

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Q: Solve the following improper integrals DI d √x dx

A: Given improper integral  ∫0∞1xdx

Q: Use chain rule to differentiate the following 1 y = sec+ (√x+;

A: To find the differentiation using chain rule :-

Q: Show that the function defined by xy √x²+y² f(x, y) {{ = 0 if (x, y) = (0,0) is not differentiable…

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Q: EX. 26 Let G be a group in which x² = e for all x € G. 1. Show that G is abelian. 2. Deduce that…

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Q: The function shown in the attached image is defined only on the finite interval 0 ≤ t ≤ π . With…

A: As per the question we are given a function f(t) defined for 0≤t≤π And we have to find : The odd…

Q: -6 -5 -4 -3 -2 -1 Equation: 9 5 ✦ 3 +4 or 0 + 2 -3 + -5 2/3 ➜X

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Q: O Consider the following linear program: minimise x1 + 2x2 - 6x3 subject to 4₁ - 8x2 + x3 = 10,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the radius of convergence for EneNZ. n!

A: The given power series is                            ∑n∈ℕnnn!zn We know that if R be the radius of…

Q: Find and read the attempts made by Henri Poincare to suggest relativity.

A: Introduction: Henri Poincare was a great mathematician, physicist and philosopher. He was a friend…

Q: Evaluate the integral sin(x²)dxdy.

A: This is a question from the double integral.

Q: The table below presents the real wage and nominal wage of non-agriculture workers in the…

A: Given: The following table presenting the real wage and nominal wage of non-agricultural workers in…

Q: 10. Prove that any group of order 40, 45, 63, 84, 135, 140, 165, 175, 176, 189, 195, 200 is not…

A: Given that,   (a) Group of order 40. Let G=40,  i.e, G=40=23.5, Since, 5-Sylow subgroup, i.e…

Q: 1. For each of the following either show that the given subset of R³ is a subspace of R³ or explain…

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Q: (c) Let D be a square with sides 0≤x≤ 2 and 0 ≤ y ≤ 2. Estimate the following integral ff (x + 1)"…

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Q: The radius of a fresh wheel of cheese is 3 inches and the height is 6 inches. (a) What is volume of…

A: Given that the radius of a fresh wheel of cheese is 3 inches and the height is 6 inches

Q: Question 4 Let A, B and C be subsets of a universal set U. (a) Draw a labelled Venn diagram…

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Q: what is the dimension of the vector space formed by the solution of the system of the following…

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Q: her the given differential equation is separable. 1 X +7 8x X+7 X X+7 (xy3 + 7y3) dy-8xdx=0 Is the…

A: We can solve this using given information

Q: 5. Using the least squares approximation, the best fit an exponential curve y = ea(x-b) to the given…

A: This is a problem of least square curve fitting.

Q: y = ln x and x - y - 4 = 0

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Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

Q: Ju udv-uv- 1 [vdu to Explain why the substitutions below are inappropriate. Let dv <=x x dx 1.…

A: Here we will find how to use integration by parts

Q: Let f and g be real-valued continuous functions in the vector space C[a, b]. Show that (f. g) =…

A: Given that f and g be real-valued continuous function in the vector space Ca,b. We have to show that…

Q: 4. ABP is a triangle, M is a point on AP. AB = à, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: We have to use  triangle law of vector addition According to the law  if two sides of a triangle…

Q: (3) Find the mass of the lamina described by the inequalities, given that its density p(x, y) = xy.

A: Given,             ρ(x, y)=xy and  x≥0, 3≤y≤3+9-x2

Q: 3. Draw the special angle triangles. Then complete the table for the following trigonometric ratios.…

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Q: - - 2xy' + y = 0 . Final answer must Show the series Solve for- y until term of X7.

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