Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue-5. Convince yourself that v is 1. A², eigenvalue= 2. A¹, eigenvalue= 3. A+ 21, eigenvalue 4. 6A, eigenvalue= =

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A: note : -  since you have asked multiple questions but according to bartleby guideline  i only have…

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Q: Evaluate the double integral. JS. бу JD 2x5 + 1 dA, D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²}

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Q: Question: Find the derivative of 25 cos(sin² (tanx)) Solution: d dx (25 cos (sin²(tan x))) 11 50…

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Q: dy d²y dx² dx 3. Find and with implicit differen- tiation. (a) xy+3y² = 10x

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Q: east one real value of x? =x² +1 لاح * 1T for all real values of c. h(x) = |x| d. j(x)=x²-3x…

A: Function is differentiable everywhere on R if it's derivative is defined everywhere on R.

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Q: 14. Determine the value of a. 0 b. 4 for y= x²(x² + 1)² when x = 1. Show your work. C. 12 d. 16

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Q: 2. Use the graph below to evaluate the following: y=2x-8 (a) Using geometry, compute the net area…

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Q: Question 1 Determine the remainder of (2x³-5x² - 4x + 7) + (x + 2) A) -21 B -6 C -11 D -37

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Q: 7. Find all the relative extrema and saddle point(s) of the function given by f(x, y) = (1 +…

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Q: Question 14 Describe the rational zeros of f(x) = x3 - 8x²-x+8 A 2 positive zeros and 1 negative…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: Find the arc length of the curve on the interval [0, 2л]. Hypocycloid perimeter: x = a (cos(0))³, y…

A: formula for arc length is  L=∫02π(dxdθ)2+(dydθ)2dθ∫sinθdθ=-cosθ+cdxndx=nxn-1

Q: Areas of Integration] Given the following graphs, find the volume of the solid of revolution of the…

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A: use L'hospital rule limx→1(x2-1x2-3x+2)=limx→1∂ ∂x(x2-1)∂ ∂x(x2-3x+2)∂xn∂x=nxn-1

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Q: Find the equation for the inverse of f(x) = 6x - 8. A F¹(x) = = +8 B) f¹(x) = x+8 Ⓒf¹(x)= x-8 6 D…

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Q: BCD???

A: Given problems:- b) ∫6w3+7wdwc) ∫y+14ydy d)∫123z-24dz

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Q: Find all solutions of the equation in the interval [0, 2). (3 cotx - sqrt3) (csc x + 2) = 0 Write…

A: The given equation is  3cot x - 3csc x+2=0,    [0, 2π)

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