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2. A basketball player successfully shoots a basketball into a basket. The basket is 3 m above the court. The ball was released at 2m above the court, 5m horizontally from the basket, and 60° from horizontal. a. What was the original speed of the ball, $v_0$, when it was released? b. What is the acceleration vector of the ball when it is at the highest point on its path (Point C)? 5m 2m

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If 19.0 g of water at 25.6 \deg C gain 8,225 J of heat, what is the final temperature of water? (Specific heat capacity of water is 4.184 J/g. \deg C)

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Q43 Felix conducted a study to determine if continuous meditation changes people's feeling of anxiety across the course of a semester. Felix had 5 students completing an anxiety survey at the beginning of the semester and then again at the end of the semester. The data from this study are below. Choose the appropriate test statistic. Use $\alpha = .05$. Participant Beginning of Semester End of Semester 1 20 18 2 19 19 3 18 16 4 22 20 5 20 20 Q43 What is the typical amount of sampling error in this study?

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The profit maximizing condition for a purely competitive firm is when... a. Price > average total costs b. Price < average total costs c. Price = average total costs d. Price elasticity of demand is positive.

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Find the relativistic coefficient, γ for v=0.5c. A. 0.75. B. 2/√3. C. 1. D. 0. Calculate the speed of an electron if its total energy is tripled of its kinetic energy. A. 0.75c. B. 0.88c. C. 0.99c. D. 1.00c. How much energy would be required to break a Helium nucleus into its constituents; two protons and two neutrons? [The mass of a proton is 1.00783u, mass of neutron is 1.00867u and the mass of neutral Helium atom is 4.00260u] A. 1.11 MeV. B. 17.07 MeV. C. 28.32 MeV. D. 173.45 MeV. The shortest visible wavelength of an unknown object is about 400 nm. What is the temperature of the object? A. 41 K. B. 545 K. C. 617 K. D. 7245 K.

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Compute the flux \iint_\Sigma \mathbf{F} \cdot d\mathbf{S} for the given vector field and surface. Confirm that a relevant theorem applies before using it. Compute directly if time. 2. $\mathbf{F}(x, y, z) = (x + y^2 z^2)\mathbf{i} + (y + z^2 x^2)\mathbf{j} + (z + x^2 y^2)\mathbf{k}$ where $\Sigma$ is the disk $x^2 + y^2 \le 4$ at $z = 4$ and the paraboloid $x^2 + y^2 = z$ for $z \le 4$, oriented outward. Multivariable Calculus (APMA E2000) 3. $\mathbf{F}(x, y, z) = x^3 \mathbf{i} + y^2 \mathbf{j} + 3z \mathbf{k}$ $\Sigma$ is the portion of the cylinder $x^2 + y^2 = 1$ bounded by the planes $z = 0$ and $z = 1.$

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public class ArrayMath { public static int[][] additionArr(int[][] arr1, int[][] arr2) { if(arr1 != null && arr2 != null) { if(arr1.length == arr2.length && arr1[0].length == arr2[0].length) { int ROWS = arr1.length; int COLUMNS = arr1[0].length; int[][] arr = new int[ROWS][COLUMNS]; for(int m = 0; m < ROWS; m++) { for(int n = 0; n < COLUMNS; n++) { arr[m][n] = arr1[m][n] + arr2[m][n]; } } return arr; } else { return null; } return null; } public static int[][] subArr(int[][] arr1, int[][] arr2) { if(arr1 != null && arr2 != null) { if(arr1.length == arr2.length && arr1[0].length == arr2[0].length) { int ROWS = arr1.length; int COLUMNS = arr1[0].length; int[][] arr = new int[ROWS][COLUMNS]; for(int m = 0; m < ROWS; m++) { for(int n = 0; n < COLUMNS; n++) { arr[m][n] = arr1[m][n] - arr2[m][n]; } } return arr; } else return null; } return null; } public static int[][] mulArr(int[][] arr1, int[][] arr2) { if(arr1 != null && arr2 != null) { if(arr1[0].length == arr2.length) { int ROWS = arr1.length; int COLUMNS = arr2[0].length; int[][] arr = new int[ROWS][COLUMNS]; for (int i = 0; i < ROWS; i++) { for (int j = 0; j < COLUMNS; j++) { for (int k = 0; k < arr1[0].length; k++) { arr[i][j] = arr[i][j] + arr1[i][k] * arr2[k][j]; } } } return arr; } else return null; } return null; } }

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Question 7 y = -0.5x + 3 Find equation of a line that goes through point (1,3) and is perpendicular to the above line. y = -2x + 5 y = -0.5x - 3 none of these answers y = 2x - 5

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According to The 1-Page Marketing Plan, a great way to figure out your ideal market is to use the PVP index. PVP is an acronym for: Price, Value, Profitability. Personal fulfillment, Value to the marketing place, Profitability. Personal fulfillment, Very happy customers, Products. Price, Very happy customers, Placement Price, Value, Products.

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(i) A series RLC circuit has $R = 15 \Omega$, $L = 30 \text{ mH}$ and $C = 40 \mu F$. Determine the voltage across L and C when excited by a source $v(t) = 30 \sin(10^2 t - 10^\circ)$. (ii) In a two-wattmeter method (\Delta-connected load) if the wattmeter readings are $P_{ab} = 1000 \text{ W}$ and $P_{bc} = 500 \text{ W}$ and the line voltage is 220 V (rms). Find a) total average power b) power factor c) phase impedance of the load

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gema b.