(a) In the figure below, a tangent and a secant are drawn to a cirde from exterior point H. Suppose that HG=18 and HD=30. Find HC. %3D H HC = [] %3D

Q: Identify each part of the function y = a sin(x – b) + c if a, b, d. y а. а b. b e. с. C vertical…

A: Given                    y=asinx-b+c  where    a,b and c are constant . These constant are used for…

Q: 15.) 16.) (( – sinx)dx 4sec

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Q: Dilation can be used in a transformation. O True O False

A: A dilation is a transformation that changes the size but not the shape of a figure

Q: sec(2e158i)

A: The given problem is to evaluate and simplify the given complex expression and express in the…

Q: 2. Given: y = 4 sin applifude b. period C. phose chift ditumine;

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Q: F Arc BF is a major arc. Arc FE is a minor arc. Arc BED is a major arc. Arc EDC is a major arc.

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Q: 3. Determine a sinusoidal function that could represent the graph drawn below. a.

A: topic - trigonometric functions

Q: Express sin e (0 in quadrant IV ) in terms of cot 0.

A: The trigonometric identities are expressions in trigonometric functions that are true for all values…

Q: Prove that Cot A Sec2A Sin2 A = Tan A. %3D

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Q: 1 %3D What is the period of the function y 2 sin ( - TE)?

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Q: Binary stars are pairs of stars that orbit each other. The period p of such a pair is the time, in…

A: M = s3a3p2M = total mass of binary system in solar massess  = separation b/w pair in seconds of arca…

Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

Q: Il. flx)= x t cOs X l0,2) Ansi no max or min h.fl)=x (x+I)" Ans: 27 256 7-5) min i (- inc:l-t,00 dee…

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Q: 10. What is the period of y = cot (x + TT/ 6)? %3D a. 21 b. TT с. Зт/2 d. Зт

A: The graph of cot x is drawn as the following. The graph of cot x is repeating in every interval of…

Q: 2. Integrate using Trig: cos° x dx

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Q: If sin A = then Find versin A.

A: We have to find

Q: b) If L = 2CSinh H. 2C Find the value of the Inductance (L) when Ha constant = 63 and C the…

A: We can calculate the L value as below

Q: Let y= 3 cos x-5 cot x+ csc x tan x, then the slope of the tangent line at x = is 4

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Q: 1-3, Find the measure of x in each diagram below: 1. 2. 3. AB is tangent to OC at point A. 72 3. 37…

A: Theorem :-  The angle subtended by an arc at the center is double the angle subtended on the…

Q: dr Find of r = (csc 0 + cot 0)-1? de

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Q: e-zusin(-u) 2.2. L e{f} du

A: Given: L∫0te-2usin32uudu To find the Laplace transform of ∫0te-2usin32uudu The formula for Laplace…

Q: You will need to order the items below (by entering 1, 2 or 3) to construct a proof that sin?…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.