Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.) u = (2,8), v = (7,3) 2u = -3v = u + v = 3u4v =

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A: The solution is given below

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A: I am attaching image so that you understand each and every step.

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A: Our Aim is to find the solution of the equation given below:- 5-2 sin(x) = 6 -(i)

Q: 6.) 12i¹0+ 24i24 12i+24i

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A: Pythagorus theorem states that (Base)2+(Height)2=(Hypotenus)2  for a right angle triangle.

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A: given point  A=(1,15)  and B=(2,75)  formula used is  y(x)=a(b)x

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A: Topic = Trigonometry Interval for the solution is not given in the question.

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A: I am attaching image so that you understand each and every step.

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A: Question: Determine the range of the following function f(ϴ) = -10. 1 sin(ϴ)

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A: Given: ∠A=120°, a=32, b=14.

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Q: 48. -1 12 cos 2 tan-1 210

A: Topic - trigonometric identities We are given: cos2tan-1125Formulas requiredcos(2θ)=1-tan2θ1+tan2θ

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A: See the details solution in below

Q: 7.) 10² - 15i*

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A: given tan2x=3        →tanπ3=3       →tan4π3=3

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A: I am attaching image so that you understand each and every step.

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A: The cosine function in standard form is given by  y=Acos(Bx-C)+D Where ,  A =(amplitude)  B…

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A: Given query is to find arc length, area of sector and the segment.

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A: I am attaching image so that you understand each and every step.

Q: Finding a Power of a Complex Number In Exercises 107-126, use DeMoivre's Theorem to find the…

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Q: Suppose you are standing at a distance, d, of 200 feet from a statue of height h feet. h d Ө Express…

A: Given query a to find indicated angle.

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A: The angle of the complete unit circle is: 360°  or   2π

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Q: Simplify the trigonometric expression. 6 + 3 cos(y) 3 + 6 sec(y)

A: Topic - simplification of trigonometric expression We are given, 6+3cos(y)3+6sec(y)we know…

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A: To find the zeroes of given function

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A: Since you have asked multiple questions in a single request we would be answering only the first…