Numerade

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How to find volume of a cone with top cut off using calculus

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Let f be the rational function given by $f(x) = \frac{ax^n}{bx^m}$. Explain what conditions must be met for $\lim_{x \to \infty} f(x) = 0$

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Find T, N, and B for the curve r(t) = (20 cos(t), 20 sin(t), 7) at (20, 0, 7). Hint: After finding T, plug in the specific value for t before computing N and B. (Use symbolic notation and fractions where needed. Enter vectors in the form (*, *, *). Enter 0 for a null vector.) T = N = B =

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Question 14 4 pts A sample of gas has a volume of 100. L at 17°C and 800. torr. To what temperature must the gas be cooled in order for its volume to become 50.0 L at a pressure of 600. torr? Report your answer in degree Celsius with 3 significant digits.

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Input shaft of the gear train shown below rotates at 2,000 RPM. The output shaft must rotate exactly at 50 RPM. Minimum number of teeth can not be less than 20 and the maximum number of teeth can not be more than 200. The speed of gear B must be exactly 250 RPM. Determine the speed of gear C:

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You enter into a short position in a one-year forward contract on a stock today when the stock price is $150, and the risk-free rate of interest is 2% per annum with continuously compounding for all maturities. This stock pays dividend of $1 per share in 3-month and in 9-month. a. There is no arbitrage on the market. What are the forward price and the initial value of the forward contract? b. If six months later, the price of the stock is $148, the forward price for a 6-month forward contract on this stock is $151, and the risk-free interest rate is still 2% per annum with continuously compounding for all maturities. Is there an arbitrage opportunity? If yes, please specify your arbitrage strategy and cash flow. If no, please explain. c. If six month later, the price of the stock is $148 and there is no arbitrage on the market. What is the value of the forward contract you entered before?

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What is the largest positive integer K such that the number 37+2^(-k) can be represented exactly (no rounding error) in double precision floating point arithmetic? Explain your answer.

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El precio de una refrigeradora es S/.2750. Si el vendedor ofrece un descuento del 15%. Cuanto se pagara por la refrigeradora?

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Calculate the length of the path over the given interval c(t) = (2t + 1, 9 - 6t), 0 \leq t \leq 2

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What is the correct abbreviation for this molecule? dTTP Question 5 What is the main reason why DNA is more stable to hydrolysis than RNA?

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rodrigo a.