Q. If B = {e, = the usual basis R2. Determine its dual basis. ?? ده رده را( = (D, 1)} is

Q: Solve the following system and interpret the geometric meaning of your solution in each case…

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Q: 23: Use finite difference method to solve Laplace equation in the Homain illustrated below. Ax = Ay…

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Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

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Q: 2. Consider the polar curves C₁: r = 4 + ³² cos 0 and C₂:r = 2 - cos as shown in the figure on the…

A: Given,C1 : r = 4+322cosθC2 : r =2-22cosθand  r > 0 , θ∈ [ 0, 2π ]

Q: can you please elaborate?

A: Solution

Q: 5) ARTSY PHARTZY Mr. Phartzy is an avid art collector. He knows the price of art fluctuates greatly…

A: Solution : Let f(x) ,g(x) are, f(x)=a1c1x    …(1) g(x)=a2c2x   …(2) Given, f(3)=151165.44…

Q: The fuel efficiency, E, in miles per gallon of an SUV depends on its weight in pounds, w:…

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Q: Find the area bounded by the curves y - x² = -3,x+y = 3 and y = 0.5x.

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Q: Consider the points K (−1, 0, 7) and M(1, −2, 5), the vector MN = (1, 4, −3), and the line  I with…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: 5. Consider the following function: f(t)= Find the Laplace transform of this function. Lis odd -1 is…

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Q: 8 (1) = {(In(3-1) 141-13, 38²2-8), t), ‚31² t (0,−1, 4), t . Find the domain of Ř.

A: This is a problem of vector calculus.

Q: Use Euler diagram to determine whether the argument is valid or invalid. State the interpretation of…

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Q: Advanced Math b) The curve y= y = x³ + px² - 12x has a stationary point when X=-4 5 i) Show the…

A: Follow the steps.

Q: Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric…

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Q: 1. Find the inverse of A = 1 1 1 2 3 01 1 using the Gauss-Jordan method.

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Q: 3. Solve the linear system using Gauss-Jordan method I 2x+y+z=2 y+z+w=2 x+y=z=0 x + 2z-w = 1

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Q: f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2) Find the (a)  intervals on which f  is…

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Q: Determine the Cartesian equation of the tangent line to C1 at the point where θ = π/2 .

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Q: A company determines that its total cost, in thousands of 3x rands, for producing x items is C =…

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Q: 1. Use Cramer's Rule to solve the below given problem. 4 5 -2 11 A = 7 12 -6 X = 49 2 6 0 8

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Q: x² (Figure 24). Verify the 1) Let f(x) = following: X 1 (d) y = x + 1 is a slant asymptote of f(x)…

A: This is question from topic asymptotes.

Q: Consider the vector-valued function. (a) Show that is continuous at t = -1. (b) Evaluate (R. RY(2).…

A: Like a scalar function, features like continuity and differentiability are also demonstrated by…

Q: For each problem below, use algebra to answer the questions. You may find it helpful to draw and…

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Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

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Q: Resume 1.pdf Use Venn Diagram to find answer to this question. In a party we have these people: 35…

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Q: 3. Solve the linear system using Gauss-Jordan method I 2x+y+z=2 y+z+w=2 x+y-z=0 x + 2z-w=1

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Q: d) y'= 4y-3x 2x-y

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Q: As you are walking in the forest you look up just as a boulder becomes dislodged from the side of a…

A: according to given question figure is described below

Q: 11. Obtain the moment of the area with respect to the y-axis of the area bounded by the parabola x =…

A: Given curves area  x=4y-y2 and y=2xorx=4y-y2 and x=y2

Q: Area of the Surface obtained by rotating the curve about the x- 0 ≤ x ≤ 1

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Q: Q5: Consider the following subsets of real plane R² Determine with graph: 1-Arewise connected A=…

A: Follow the steps.

Q: Given f(x) = -x³-7x² - 8x + 16 = (x+4) (4-3x-x2²). Find the (a) intervals on which f is decreasing…

A: Follow the steps.

Q: Given the following observations, determine an 3 ^ 1 5 66 7 8 8

A: Given,         3, 4, 4, 5, 6, 6, 7, 8, 8, 9

Q: Solve the linear system using both gauss-jacobi and gauss-seidel 3x + y = 1 2x + 5y = 6 a. using…

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Q: A person borrowed 500,000 pesos at an interest rate of 18% compounded monthly. Monthly payments of…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the…

A: Given,C1 : r =3C2 : r =2-2sinθand r > 0 , θ∈[ 0, 2π )

Q: Find the volume of the solid generated by the region bounded by -x + y² = 8, x = −2 and y = -2…

A: Follow the steps

Q: Let S be the surface with equation 4y² + 4z²x² - 16 = 0. 1. Find an equation of the trace of S on…

A: Important guideline: According to Bartleby's guideline, I can give solutions to at most the first…

Q: Show that (x + 1)² sin y lim (x,y)→(−1,0) (x+1)4 + y² does not exist.

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Q: trace the equation in 3 -dimension

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Q: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

Q: (a) Solve the first order linear ordinary differential equation x sin x dy d.x + (sin x + x cos x) y…

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Q: Find the extrema of the given function f(x, y) = 2 cos (x² - y²) subject to x² + y² = 1. (Use…

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Q: The base of a solid is in the first quadrant bounded above by y = 5 and below by y = √5x between x =…

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Q: answer letter b

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Q: Find the solution to the system 2x-8y + 5z =-5 2x+y=z=12 -5x+3y+9z=-17 . using (a) Jacobi Iterative…

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Q: Using Pappus Theorem, find the volume formed by revolving about the x-axis the area bounded in the…

A: Consider the given parabolas, 2cy-x2=0 and x2-4cy=c2 The graph of the curves in the first quadrant…

Q: rector spaces over a field I and t: V--V' be a linear transformation and to be the dual map of t,…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂: r=2-2 sin (in red) and let R be the…

A: Consider the given polar curves, C1:r=3 and C2: r=2-2sinθ