7 Determine whether the set {1, x, x²} is linearly dependent or in- dependent in R (Justify your answer !).

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A: To Explain : Which row exchanges will produce another Sudoku matrix?

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Q: 3. (a) Express f(x) = x² – 3x² + x in the form C,P,(x). r=0

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Q: 2.) Solve the following system of equations by performing row operations: x + 2y -z = 1 2x ty. - 2Z…

A: Given system of linear equations is ,                   x+2y-z  = 12x+y-2z= 2x-3y+3z=10 Rewrite the…

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Q: Prove in details -=S (-yr है न 81 ૨ (15) 820 er (Four) لمی 213

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Q: Suppose A,B and C are sets such that A = B and A ∼ C. Which of the following is NOT true about these…

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Q: 4. (a) Use the Method of Variation of Parameters to find the general solution y(t) of the…

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Q: total cost function (in dollars) is given by C(x)=194+9x+0.68x2 .Use differentials to estimate the…

A: We find total cost function (in dollars) is given by C(x)=194+9x+0.68x2 .Use differentials to…

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A: A graph of a function is given. Our aim is to find the range and vertical asymptotes of the graph.

Q: 3) Consider the following matrix: A= 020 100 0 4 1 - 1 - 1 (i) Compute A™ ¹. (ii) Write A as a…

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Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

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Q: 7. Consider the following initial value problem y" - 2y - 3y = -4e¯t, y(0)=0 and y'(0) = 1. Solve…

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Q: Q3 Let f(x) be in L¹((0, ∞)) so that J(0,) f = 10. Determine if the limit lim n→x (0,00) ƒ(x)…

A: Solution:

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Q: Gradient fields in ℝ2 Find the vector field F = ∇φ for the following potential functions. Sketch a…

A: Given: F=∇φ, φx, y=x2+4y2, x≤5, y≤5. (a) To find the vector field. (b) To sketch a level curveφx,…

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Q: 6. Let g: X→→ Y and f: Y→ Z be functions. If go f is one-to-one, then f is one-to-one.

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Q: Given the angle = = Angle sec (0) sec (¹1) 21 sin (1) 21 cos (²11) has the same value as: -11 21…

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Q: Show that both R and R² may be covered by countably many open balls.

A: To show :  Both ℝ and ℝ2 may be covered by countably many open balls.

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A: Given: The selling price of a car (A) = $18000 Monthly payment size (R) = $375 n = 12×5=60 Our aim…

Q: 6. Write the following expression in product (II) notation. 32.43.54.4342 7. Compute the value of…

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Q: 1. Consider the initial value problem dy dt y-1 t+3' for points close to the initial point (to, yo)…

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Q: 2.. f(t)...... 1 -2 for 2 t for for for 7 2P=4 tu L at L I< £ 2. 2 1

A: ft=0for -2&lt;t&lt;-11for -1&lt;t&lt;0-1for  0&lt;t&lt;10for   1&lt;t&lt;2

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Q: condsider the following linear system.  x+2y+4z=2 -2x-3y-6z=-1 x+2y+d^2 = d for what values of d…

A: Augmented matrix of the given linear system 1242-2-3-6-112d2d Lets find its echelon form.

Q: The point Py) lies on the unit circle. Determine the value(s) of y. b) d) H 14 + + 23 18 81 80 81

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Q: 2.) Is the matrix, A = 120 240 1 Invertible? Explain your answer.

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Q: +88 GOZZYTHAI LI... ? Help

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Q: Question 6. The complex Fourier series representation of a periodic function of period 2 is given by…

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Q: Show that the p-series ∞∑n=1/1np converges for p&gt;1.

A: We have to show that the p-series ∑n=1∞1np converges for p&gt;1.