d the measures of the angles x, y, and 8. If ß = 45 and all angles are on the interval [0, 2л). Give exact answers as =tions as . B Y || = 9₂ radians radians radians

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A: Area bounded by the polar curve  is given by

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A:

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A: We convert the polar coordinate  to cartesian coordinates.

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A: The given trigonometric value is  and  in third quadrant.The aim is to find the value of .

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A: Using integral test of convergence, we can write this as

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A:

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A: The given graph

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A: ( in Quadrant - I ) .

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A: v=(2√2,2√2)

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Q: 8. Use mathematical induction to prove "for every positive integer n, n³ - n is divisible by 3".

A:

Q: Solve the rest

A: The figure is given as,

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Q: a 450 b C 450

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A: By using unit circle we will find the angle.

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A: To convert a rectangular co-ordinate (x,y) to polar form, use the following formulas

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A: or  or (i)

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A: Given that  and x in Quadrant I

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A: The figure

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A:

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A: sine rule

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A: The given trangle has .The aim is to solve the triangle.Laws of sine:In a triangle ,.

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A: The given figure

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Q: a) tan Ode

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Q: ನ 60° b C 30°

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A: To find the quotient and to write it in rectangular form.

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A: Consider the function

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A: