5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not use a calculator. Show work

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Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x

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Q: 1. Consider A = (0,4, 2), B = (6,0,0) and C = (3,0,-1). %3D %3D (a) Find the unit vector in the same…

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A: Use derivative and unit tangent formula for finding it.

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x

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Q: 5+ 4. 2 1+ -5 -4 /-3 -2\1 1 5 -1 -2 -3 -4 -5 + 3.

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Q: .4 dx 2 Vx2-2

A: Given:        ∫24dxx2-2 Apply trigonometric substitution:    substitute x=2sec u and dx=2 sec u tan…

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

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Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

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Q: Find the maximum rate of change of the function f(x, y) 4y5 at the point (5,4)

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Q: sin x S + 3x)dx 1. cos x dx 8 sin?x cos²x 4. 了 1 2. 了 dx 1-cos x 5. J sec x(sec x – tan x) dx 2 secx…

A: These all are solved by the help of standard trigonometric Antiderivative.

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Q: 1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

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