Numerade

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For the following telescoping series, find a formula for the $ n $th term of the sequence of partial sums $ \left\{S_{n}\right\} $. Then evaluate $ \lim _{n \rightarrow \infty} S_{n} $ to obtain the value of the series or state that the series diverges. \[ \sum_{k=1}^{\infty} \frac{1}{(k+6)(k+7)} \]

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find the first derivate 3 h(x) = 12 cos x sin x + 4ln(x)

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A simplified flowsheet for the manufacture of sugar is shown in figure 1 below. Sugarcane is fed to the mill where syrup is squeezed out, and the resulting 'baggasse' containing 30 pulp. The syrup (E) containing finely divided pieces of pulp is fed to a screen which removes all the pulp and produces a clear syrup (H) containing 15% sugar and 85% water. The evaporate makes a "heavy" syrup and the crystallizer produce 1000kg/hr of sugar crystals. a. Find the water removed in the evaporator, kg/hr. b. Find the mass fraction of the components in the waste stream G. c. Find the rate of feed of cane to the unit, kg/hr. d. Of the fed in the cane, what is percentage is lost with the bagasse? e. Is this an efficient operation? Explain why or why not. M Sugar, 1000 lb/hr Mill F Cane 16% Sugar 25% Water 59% Pulp D Bogosse 80% Pulp E 13% Sugar 14% Pulp Crystallizer L Water K 40% Sugar H Screen Evaporator J Woler 15% Sugar Solids G Contain 95% Pulp Figure 1

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2. Find the inverse transforms of the given functions by use of Laplace Transforms Table. a) $\frac{2}{s^3}$ b) $\frac{6}{s^2 + 4}$ c) $\frac{15}{2s + 6}$ d) $\frac{3}{s^4 + 4s^2}$ e) $\frac{1}{s^3 + 3s^2 + 3s + 1}$ f) $\frac{2s + 3}{s^2 - 2s + 5}$ g) $\frac{3s + 1}{(s - 1)(s^2 + 1)}$

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The rectangular coordinates of a point are given. Find po (-3, -3\sqrt{3}) The polar coordinates of the point are (Type an ordered pair. Type an exact answer in terms of \pi

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22. String of Dots Ask the user to input a positive integer (call it n) and then display a string of n large dots. See Fig. 6.24. Note: Chr(149) is a large dot. String of Dots Number of dots: 12 Display Dots X Alphabetical Word almost Analyze Word X FIGURE 6.24 Possible outcome of Exercise 22. Are letters in alphabetical order? Yes FIGURE 6.25 Possible outcome of Exercise 23.

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16) How must ammeters be connected in a circuit when used to measure current? A) Varies with circuit construction B) Varies with the component being measured C) Directly across the component D) In series with the component being measured

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Water vapor enters an adiabatic turbine with a flow rate of 3 kg/s, at a temperature and pressure of 550Â°C and 6 MPa, respectively. The exit conditions are 100 kPa and 150Â°C. By neglecting any possible changes in kinetic or potential energy, calculate: - The work produced by this turbine - The isentropic efficiency of this turbine - The maximum theoretical work output of this turbine

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Why might a company issue multiple S-1 statements and amendments during the IPO process?

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buatlah contoh soal dari transaksi diatas dengan persamaan dasar akuntansi peru kewa klain dan Ilustrasi 2.2: Pengaruh adanya Transaksi Akibat Transaksi dan Pengaruhnya kepada Transakst C Pembelian perlengkapan secara 3 tunai: Perlengkapan (aset) bertambah, kas (aset yang lain) berkurang_ tran mer per Pembelian perlengkapan secara Kredit Perlengkapan (aset) bertambah utang usaha (kewajiban) bertambah 2 ake per Ja ad Pemilik menyetorkan modal berupa Kas (aset) bertambah, modal pemilik uang tunai ke perusahaan (ekuitas) bertambah Buat (ah Conloh oal pe

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