Find the principle values of the natural logarithm of z =(1+1)* Express in the form a...
7) (10 pts) Find the principle values of the natural logarithm of 2 (1+1). Express in the form a + b
IME Express (1+1)(1+) in the form a tib Write down the principal value. Hint z = g'
Please use excel and VBA
The natural logarithm can be expressed as a Taylor series of the following form 1. Write a VBA program to calculate the first 50 terms of the series using For or While loop Check the results with a Ln command in Excel
The natural logarithm can be expressed as a Taylor series of the following form 1. Write a VBA program to calculate the first 50 terms of the series using For or While loop...
Use the rules of logarithm to express the following as a single logarithm 2 In x+2 In y - 4 In z The expression of the single logarithm is
3. Complex numbers and math a) Express z=-6 8 in polar form b) Express -1 in polar form c Express z--3e in rectangular form. d) Express z-(2+j) in rectangular form. e) For the two complex numbers z, (6-j4) ad z(-2+j1) determine in polar form. f) lf z=(-84%) determine Teal! (z*)"! in polar form.
Rewrite ½in(x) + In(x2 + 2x + 1) – 2In(x + 1) as a single logarithm in simplest form. Express all factors as exponents
I. Given Z-2- i and Z2-1 2i. Find the following and express your answer in the form a+ ib (c) Z, Z, (b) 22, +Z, (a).
(6) Pretend you know that the natural logarithm function log : (0,00) + R exists and has the properties you remember, in particular log(24) = x log(2) for all x. Let p > 0. For what values of p does the series » - converge? log(n)P:n Use the Cauchy Condensation Test.
Solve the following exponential equation Express the solution set in terms of natural logarithms or common logarithms. Then, use a cakulator to obtain a decimal approximation for the solution 2*3-1505 The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use in for natural logarithm and log for common logarithm) Now use a calculator to obtain a decimal approximation for...
1. Using the argument principle, find the number of zeros of the polynomial p(z) = 2€ + 4z4 + 2? + 2z2+z+5 in the first quadrant.