Use the properties of logarithms, given that In(2) = 0.6931 and In(5) 1.6094, to approximate the logarithm. Exercise (a) In(0.08) Click here to begin! Exercise (b) In(40) Click here to begin! Exercise (c) In(20) Click here to begin! Exercise (d) In(200)

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Q: 1 Express the following functions in the form utiv • f(Z) = ln (1+z)

A: This is a problem related to complex number. Please follow the procedure given below.

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A: Note that, if z=a+ib then z=reiθ=r(cos θ+i sin θ) where r=a2+b2 and θ=tan-1ba

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A: The Solution is give below-

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A: Given: 645  036  00-4

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A: NOTE: Refresh your page if you can't see any equations. . use the formula

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Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

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A: Limit

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Q: 35. [T] lim sin2x; ±0.1, +0.01, +0.001, +.0001 *40 X X -0.1 -0.01 -0.001 -0.0001 sin 2x a. b. d. X…

A: The answer is given below:

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Q: 1. Evaluate the following integrals. [*(1+cos x)dx f. apa *1-√u -du

A: To evaluate the following integrals.

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Q: (Homogenous) Solve the diff eq. x dx e-x (y + 1) dy + y³ =

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A: To describe the end behavior of the function hx shown, by using the limits at infinity.

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Q: e บ!

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A: See the details solution in belo

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Q: Needed

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Q: ○ 0, 9]

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A: Find the limit

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A: Topic:- application of calculus

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A: Given data:- The given equation, z=x+ jy  and  w=(1- j)z

Q: Express the following functions in the form U+iv f(Z) = ln (1+z) ●

A: The given function is fz=ln1+z.We need to write it in the form u+iv.

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A: Let's find equation of the plane.

Q: 0.602x(3×3!/4)=? (Gamma function)

A: This question can be solved using the formulas related to gamma function