Numerade

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1. For each of the following, prove whether the series converges or diverges. (a) (b) (c) 2. Consider the series $\sum_{j=1}^{8} \frac{(2j)!}{j!}$ $\sum_{j=1}^{8} \frac{1}{j!}$ $\sum_{j=1}^{8} \frac{(3j)!}{(2j)!}$ $1 + \frac{1}{3} + \frac{1}{5} + \frac{1}{3^2} + \frac{1}{5^2} + \frac{1}{3^3} + \frac{1}{5^3} + \frac{1}{3^4} + \frac{1}{5^4} + ...$ (a) Show convergence or divergence by the Comparison Test. (b) Show convergence or divergence by the Root Test. (c) Why is there an issue to use the Ratio Test to show convergence or divergence?

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Which of the following malware usually need some type of user assistance? Backdoors Logic Bombs Viruses Computer Worms Trojan Horses

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Cottrell, R.R., Girvan, J.T., McKenzie, J.F. (2021).Principles and Foundations of Health Promotion and Education Eight Edition San Francisco, CA: Pearson Benjamin Cummings.

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-2 - (-3x - 8) = 4(-8x - 7) + 5

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The system in Figure is at 20°C. Compute the pressure at point A in lbf/ft² absolute. Oil, SG = 0.75 Water 5 in Pa = 15.0 lbf/in² A 10 in 6 in Water Mercury 2815.6 lbf/ft^2 2405.6 lbf/ft^2 670.6 lbf/ft^2 2867.6 lbf/ft^2

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Find the voltage ($V_R$) across the resistor in the following circuit. j10? + 5? $V_R$ + 30 ?0V $I_R$ 13.42 ?63.43° V 13.42 ??63.43° V 11.18 ??63.43° V 15 ?60° V 15 ??60° V 11.18 ??63.43° V

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c. Consider the linear time invariant system $q_{k+2} = 2q_{k+1}$ $q_{k+1} = 3q_k + u_k$ $y_k = 4q_k$. Using the $z$-transform, find the transfer function for this system. [9 marks] d. Using your answer to Question 1.c, write down the characteristic equation for this system. Is the system stable? [5 marks]

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Text: Create an Ice Cream Shop In the ice cream shop, customers can order only 1-3 scoops. The customer can also choose from a number of flavors: coffee, vanilla, or strawberry. Enter the number of scoops and the requested ice cream flavor using JTextField or JOptionPane. Use named constants for the scoop price. The price for a scoop in this store is different for different flavors: $2.37 for a scoop of strawberry, $2 for vanilla, and $2.52 for coffee. Use a switch statement for dealing with flavors. Flavors of ice cream are represented by strings such as coffee, vanilla, cappuccino, etc. Write a method drawIceCream that displays a picture of the ordered ice cream in the color matching the requested flavor and the requested number of scoops. You can draw a cone (using the class Polygon) or a cup. Display the receipt in the application window. The receipt must include: â€¢ Name of your ice cream shop written in an interesting font or a shop logo â€¢ Requested flavor â€¢ Requested number of scoops â€¢ Total price with the $ sign in front Include the following: 1. A customer can make a selection of either a cup or a cone. 2. Input validation for the requested flavor (if an unavailable flavor has been chosen/entered, allow re-entering the flavor). 3. Include input validation (if the number of entered scoops is more than 3 or less than 1), the application should display an error message: "Incorrect value. Please re-enter the number of scoops (Enter 1-3)". 4. Use the Decimal Format class to always display 2 decimals.

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2.2 Study each of the growing geometrical patterns. Then do the following for each pattern (i) Give a verbal description of how the pattern is growing (ii) Set up a table of values (iii) Write down a numerical description for each pattern (you must relate the number of the frame to the number of figures in the frame) (iv) For each pattern, write down a formula that can be used to calculate the number of building blocks in any term (v) Write down the value of the 10<sup>th</sup> frame. (vi) Use your formula to determine how many building blocks there are in the 100<sup>th</sup> frame of each growing pattern. 2.2.1 2.2.2 2.2.3

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II. Directions: Sketch the following angles in their standard position. 4. -345$^\circ$ 5. 300$^\circ$ 6. $\frac{11\pi}{18}$ 7. $-\frac{13\pi}{12}$

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