(i) One month later, the tower is holding 21.5 million kilograms of water, when it experiences a gust of wind that again gives it a speed of 0.24 m/s. What function will describe the displacement of the tower? (j) Make a plot of the position function from (i). (k) What is the period of the new oscillation? You can use your graph as an aid, but use your function from to get the exact value.

Q: Solve for w where u = (0, 1, 1, –1) and v = (3, 0, –1, 2). %3D w + 2v = -4u W =

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Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

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A: Determinant: For every square matrix A=aij of order n, we can associate a number called determinant…

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Q: given u= and v= find uXv

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Q: sonvert the matrisdinta echelon. toom 2. -3 2. 2. -4 3.

A: Given the matrix is  A = 12-3024-2236-43 To convert the matrix into echelon form

Q: ble, then enter the rule that is applied to each ro Input 300 400 500 600 Output 2700 3600 4500 5400…

A: given data  input output 300 2700 400 3600 500 4500 600 5400 200 1800

Q: Ā = ë, + 3ë, – 2ẽ, -B*=? B = 4ẽ, – ë, Ĉ = -3ẽz– 5ẽ,

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Q: Find u × v, v × u, and v × v. u = (3, 2, 8) v = (−3, −1, −9)

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Q: E= {-2, -1, 7,8} I={-1, 1, 6} Find union of G and D E U I = ? Find the intersection of G and D…

A: The given two sets are E=-2, -1, 7, 8  and  I=-1, 1, 6. Evaluate E U I as follows. E∪I=-2, -1, 7,…

Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Haw:2 ExPress the Sumef the Vectars Aß and E ,if ACl,-), B (2,0)_, C(-1,)_ and D(-2,2).

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Q: What are parts d-j?

A: As per the guidelines of Bartleby, solution of only first 4 parts are given.The remaining 3 parts…

Q: 2. Find u, 3v, v-u, and 2u +5v. 3. u = (5, 3), v = (3, -2) %3D

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Q: How many paths spell PYTHAGORAS if you start from the top and proceed to the next row by moving…

A: There are multiple number of letters ar each level, hence, we can reach from one row to another row…

Q: Determine whether b is in the column space of A. A = 1. -102 5 8-10, b = -3-3 6 3

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Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: b Let a = (-3, 0, -1) and 6 = (3, -3, -2). Find the component of b onto a.

A: To find the component of vector b onto vector a, we use the formula: Component of b onto…

Q: If x I y and y I z, then b

A: For the lines l, m & n, if l∥m & m∥n, then from transitivity rule l∥n.

Q: Find a b. . a = 8i + j, b = i-4j+ k

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Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

Q: Choose which variables are basic and which are nonbasic: X1 X2 X3 S1 S2 S3 P 0 8 1 -4 0 40 4 160 1 8…

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Q: Let à = (6, 6) and 6 = (-4, 7). Compute the dot product. ā.b=

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Q: Find w such that 2u + v – 3w = 0. u = (2, 7, 5, 0), v = (-3, 1, W =

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: b Let a = (-3, 0, -1) and 6 = (3, -3, -2). Find the component of b onto a.

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Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: Which of the following are linear combinations of v1 = (1, -2,2) v2 = (3, -5,7) O a. (24, -39, 51) O…

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Q: -1 -2] 3 4 If A = and B S.T AB BA. %3D -3 -4 5 2

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.