QUESTION 1 Given that = 0.2836 approximates f(x) = cos x at x = 5. 1. Find the absolute error 2. Hence obtain the relative error

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Q: 5. Find the equation of the straight line passing through (3,-5) and parallel to the line joining…

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Q: [ compute ABT (3C)². Problem 6. For A = - 3-20 21 -2 1 5 [3] [1] 0-5 -2 2], B = [ 2 and C=

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Q: 10. Use Green's Theorem to evaluate the integral fe y dx + 2xy³ dy, where C is the square with…

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Q: Given T→(π)=⟨0,−4/5,3/5⟩ , find an original v→(t) function that looks like a circular spiral or…

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Q: Let G be the solid in the first octant bounded by the planes x = y ₁ Y = 2,2=0 and x = 1. Set up an…

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Q: 4. A quadrilateral has vertices (4, 1), (1, 7), (- 6, 0) and (-1,-9). Show that the mid-points of…

A: As per the guidelines I am answering only first question. Kindly reupload and ask to answer other…

Q: VI. Let G be the solid in the first octant bounded by the planes x = y, y = z, z = 0, and x = 1. Set…

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Q: Determine whether the given matrix A is diagonalizable. If so, find the matrix P that diagonalizes A…

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Q: Suppose the control problem is Maximize [(y-²)dt 0 Subject to y'=u and y(0) 10, y(1) = a = The…

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Q: Erin has a total of 20 bills, all of which are $10 bills and $20 bills. If her $10 bills were $20…

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Q: Consider a solid bounded by, x² + y²=16, z=y², z=0 and x=0 Calculate its volume.

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Q: J dx 4 + x² =

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Q: Consider the polar curves C₁ and C₂, where: C₁ is the upper half of the circle r = cos 0. C₂ is the…

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Q: Consider the linear operator D : P3 (R) → P3 (R) defined via the deriva- tive: D (f) = f'. Find the…

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Q: Given f''(x) = 3x + 4 and f'(-2) Find f'(x) and find f(1) = = - 1 and f(-2) = 3.

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Q: 21.6 Integrate the following function both analytically and numer- ically. Use both the trapezoidal…

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Q: Find the Fourier series for the following functions: f(t) = |sin t], -n < t < n and The function is…

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Q: Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis…

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Q: The region bounded by the curve y = x², axis, and the line x = 2 is revolved about the y-axis. What…

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Q: Find and sketch the domain of f(x, y) = √√₁ - (x + 1)² − y² + 2ln(x − y + 1)

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Q: Find the Fourier series for the following functions: f(t)= |sin t], -π <t<n and The function is odd…

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Q: • Let: X₁ (jw) = 2nd(w) + nd(w − 4ñ) + ñ8(w + 4π) • Use the inverse Fourier Transform to find x₁(t)…

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Q: Find the volume of the solid obtained by rotating the region A in the figure about y = -1. b 0 A y =…

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Q: 2. Rectangular box is inscribed in a sphere of (a) Set up a function of 2 variables that describe…

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Q: Ques! a) 4) Solve the following 457 34506) (FF.005) 16 x (2.05€) 16

A: As you asked only 1st two subparts so i answered only that.

Q: 2) Consider a set of points {(-2,-18), (-1, -7), (0, -2), (1, -3), (2, -10)}. a) The least squares…

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Q: Set up an iterated triple integral equal to √3-1² 2²+² 3 I = 1-[²√²² ² 2-√√4-x²-y² using 1.…

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

Q: 4. a) Prove that I A i) V=I- I+A 1+A ii) fx+nh = Σx=0 (1) 4k fx. =

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Q: A certain skincare company's profit in millions of dollars, P(f), can be modeled by the polynomial…

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Q: Let S be the surfaced defined by the vector function R(u, v) = , u € [0, 2], v € [-1,1]. a. Find an…

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Q: Problem 5. (a) Find the characteristic polynomial and the eigenvalues of the matrix -1 7 -1 = -[ A…

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Q: Suppose is the surface generated by revolving the curve y = 4(x² - 1) about the y-axis. 1. Determine…

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Q: Praw the curve r= 4 + 8 cose and find the area outside the inner loop of the curve,

A: answer of the give question is 4π

Q: Solve the IVP. (35 53 X' = X with X(0) = - (4).

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Q: Statement 1 - If you study hard, you get good marks Statement 2:- If you get good marks, you get…

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Q: Find the volume that originates when rotating around the X axis, the surface bounded by the curves.y…

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Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

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Q: 16x4+9y12 (x,y)→(0,0) 4x²+3y6 Show that lim does not exist.

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