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Which of the following are annuities? Multiple select question. You receive $1000 semiannually from an insurance policy for 5 years. You make quarterly deposits of $500 into a travel fund for 3 years. You deposit $1000 into a scholarship fund to be paid out in 15 years. You pay automobile insurance premiums of $200 by monthly payments for 1 year.

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Approximate\n$\int_3^{15} \frac{1}{x} dx$\nusing each of the following Riemann sums with 4 subintervals of equal length. Do not simplify your answer.\n(a) Left Riemann Sum = \n(b) Right Riemann Sum = \n(c) Midpoint Rule =

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Given the random variable X and it's probability density function below, find the standard deviation of X. X Pr(X) negative 1 0.25 0 0.30 1 0.05 3 0.40 sigma equals enter your response here Round to three decimal places, if necessary

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Answer: Confinement Length (m) Mass (m/s) Energy (eV) 0 1.00e-10 9.11e-31 9.53e-01 1 1.50e-14 1.67e-27 2.31e+04 2 1.50e-14 9.11e-31 4.23e+07

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4) Let $f(x) = \frac{|x-5|}{4(x-5)}$. Find (a) $\lim_{x \to 5^+} f(x)$ (b) $\lim_{x \to 5^-} f(x)$ (c) $\lim_{x \to 5} f(x)$ 5) Use Squeeze Theorem to prove that $\lim_{x \to 0} \sqrt{x^3 + x^2} cos\frac{5}{x} = 0$. 6) (a) Find all vertical asymptotes $x = a$ of the function $f(x) = \frac{x^2 - 7x + 10}{x^2 - 8x + 15}$

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[Similar to lab 10 \ Part D \ Exercise 1] Using one of the loop structures, write function myPower(int x, int y) which calculates x<sup>y</sup>. Test the function in main using simple values entered by the user. Sample output Enter base: 2 Enter exponent: 5 2 to the power of 5 = 32

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To assign the value (4) to the last location in next array: int B[4] A B[4] = 4; B B[3] = 4; C B[5] = 4; D B[] = 4;

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Long Answer Questions (2X 20 =40 marks) Q 1. The following diagram shows the conditions for earning normal profit under Perfect competition. Interpret the diagram given and identify five conditions for making normal profit ? (20) Revenue and Cost P MC<MR MC MC>MR E AR=MR MC=MR Output Qeq

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Find the Laplace transform of x(t) for the following differential equation. x'(t) + x(t) = 4 x(0) = -2 Note: x'(t) is a time derivative of x(t). t is a time variable. x(0) is an initial condition of x(t). s is a frequency variable. X(s) = 2/(s+1) X(s) = 1/(s+2) X(s) = 1/(s+1) X(s) = 2/(s+ 2)

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Count the number of guesses the player makes. If the number is 10 or fewer, display Either you know the secret or you got lucky! If the player guesses the number in 10 tries, display Aha! You know the secret! If the player makes more than 10 guesses, display You should be able to do better! Why should it take no more than 10 guesses? Well, with each "good guess," the player should be able to eliminate half of the numbers. Now show why any number from 1 to 1000 can be guessed in 10 or fewer tries. You have to use, at lease, 3 method calls including the Main() method in your program. That means you cannot have all the codes in the main() method. You need to create methods to complete all the functions.

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carlos h.