Find the length of the cardioidr35-5 cos 0. The length of the cardioid is (Simplify your answer.)

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A: Given an  equation of petal rose : r=cos3θ We need to find the area of the region inside one leaf.

Q: Using trigonometric substitution to evaluate:, find w :S √1-7w² dw,

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Q: Find the area inside the circle r=−3acosθ and outside the cardioid r=a(1−cosθ), a>0

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Q: Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is- 6° Round your answers…

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Q: Let a = ci + jand b = 9i + 12j. Find c so that the angle petween a and b is=. Round your answers to…

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Q: Find the arc length of VW. Leave T in the answer. V 135° W Show Vour Werk ch 3. 7 8 9. CO 5 近

A: Given the figure of sector in the circle  To find the  arc length VW

Q: . r= 2a cos e %3D

A: We have to find the area enclosed by the given polar curve: r=2acosθ ; 0≤θ≤2π

Q: Using trigonometric substitutions, S Vx2-9 dx , x > 3, is equal to: 3x

A: Given:            ∫x2-93xdxwe know that trignomentric equationsec2θ-tan2θ=1Here substitute x=3secθ…

Q: The appropriate trigonometric substitution for dx is 3r-r2

A: To find:∫13x-x2dx

Q: In the right triangle below, JL=17 and KL=8. What is the value of sin ZJLK? 17 8 K

A: Given,          In the right triangle shown below, JL=17 and KL=8.

Q: Calculate v9+ 8i. Give your answer in a + bi form. Give the solution with smallest positive angle.…

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Q: Find the area A of the part of the circle r = 13 sin(0) + 13 cos(0) in the fourth quadrant. (Use…

A: Here we have to find the area A of the part of the circle r in the fourth quadrant.

Q: Find the area of one leaf rose r=a cos 2B

A: The given polar curve is: r=a cos 2β

Q: Find the cosine of ZK. K 6/23 J 12/23 6/69 Write your answer in simplified, rationalized form, Do…

A: Given: For the angle K Perpendicular = 669 Base = 623 Hypotenuse = 1223

Q: Drag the label for the length of the Sides of the triangle shown that would salisty the following…

A: In a right triangle with respect to angle x ,the longest side is called an Hypotenuse. The side…

Q: 2. For what measure of ZC is the cosine law c² = a² + b² - 2ab cos C reduced to the Pythagorean…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: kit emint the squar rool of Z= Z [ cos (E) i inn (4)7

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Q: J. Determine the exact value by expressing the given angle in terms of the sum or difference of two…

A: Here we need to calculate the value of cos(75∘) and cos (165∘). The entire solution can be seen in…

Q: Q5 E 8 D In the figure above, if cos a = sin b, which of the following is closest to the length of…

A: CosA = adjacent side / hypotense SinA = opposite side/ hypotense.

Q: 1. In triangle ABC, AB = y, BC = r, AC = 8, and the perimeter is 20. a) Write y in terms of x. b)…

A: It is given that

Q: calculation for P.I ур cos²x b²+1 2 cos²x D² + 1 + {² 22{ -} 1+ cos2x D² + 1 HOW DID HE GET THE…

A: The particular integral is solved as  yp=1D2+1(cos2x)

Q: (A) Find the Area :r= a (1+ Cos e)

A: It is given that

Q: E. Find the cartesian equation of the following: 2. r2 cos(20) = 4 %3D

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Q: he information given 8. with a i 17' cosa = tan ß = , 12 with B in 5 %3D the exact answer, not

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Q: Q5) chang e the Po lar 2r=2+cos o.(2r-1) to Cartesian

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Q: Find the area inside one leaf of the rose: r = 5 sin(40)

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Q: 1. Find the area of one leaf rose r=a cos 2B

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Q: Find the area. a. Inside one leaf of the three-leaved rose r= cos30 b. Shared by the circle r=2 and…

A: Given that a) r=3cos(theta) b) r=2 and r=2(1+sin(theta)) c) r=-3cos(theta) and r=1-cos(theta) We…

Q: Let a = ci + jand b = 5i + 12j. Find c so that the angle between a and b is- %3D Round your answers…

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Q: At which angle is cos Ⓒ =-1? 0 O 2 OTT

A: Given query is to find measure of the angle.

Q: Use the triangle below to find sin 8. V5 3.

A: Given : A right triangle.

Q: Tell whether the DOini't is on the c or in the exteriar of the cirele. (1,2)

A: Given : The equation of the circle is ( x - 2)2 + ( y - 2)2 = 4 .

Q: Detemine the value OF C IF X=1-co2 and y =1.B9 when you evaeuate Scot"(2x)dx. Cure radiar form Of…

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Q: For which value of a is the length of the cardioid r = a(1+ sin 0), 0 < 0 < 2ñ _32 units? 6 2 -4 -2

A: Solution

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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Q: Q3 Find the value of the angle of cos(sin (x)) ?

A: The given trigonometric function is Here, the angle of the function is sin-1 (x).

Q: Find the area enclosed by one leaf of the rose r = 12 cos 3u.

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Q: Find the area shared by the circle r₂ = 11 and the cardioid r₁=11(1- cos 8). The area shared by the…

A: We will first identify the region we need to calculate then using the polar coordinate system we…

Q: Explain the following “proof without words” of the law of cosines. (Source: Kung, Sidney H., “Proof…

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Q: 5 cm K 0 10 cm M In the diagram, JKL and NLM are straight lines. cos 8 = Given that 5, find the…

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Q: • Graph the cardioid r a(1+ cose), a < 0? %3D

A: the graph of given  cardioid

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is Round your answers to…

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Q: cos (srj3) cosh"( 10<30")

A: Given : (1) ln [ ( 5+j3 ) + ( 6e^(j*12) ) ]- (10∠30° ) (2) cos(5+i3) cosh^(-1) ( 10∠30° )

Q: 6. Plot r = 4 cos O :

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Q: Find the cosine of ZH. 58 H. 33 Write your answer in simplified, rationalized form. Do not round.…

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Q: | b, sin nx cos mx dx — п

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Q: Use the formula for the cosine of the difference of two angl- COS COS T T 4 6 T T - = 4 6 (Type an…

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Q: Find the cosine of ZS. 57 V14 J43 R Write your answer in simplified, rationalized form. Do not…

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Q: Let a = ci +j and b = 6i+ 8j. Find c so that the angle between a and b is Round your answers to four…

A: Here the given vectors are a=ci+j &amp; b=6i+8j

Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

A: Given: 0&lt;x-a&lt;δTo prove:sinx-sina=2cosx+a2sinx-a2≤2sinx-a2