QUESTION I 11 the figure below, acute-angled AMBC is drawa having C at the origin L11 Prove that c -2ab CasC.

Q: 1. Find the quadrant in which 0 lies: (a) csc 0 0 (b) sec 0 > 0 and sin 0 < 0

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

Q: zl 5. Trigonometric form of the quotient of = 6cis (2); z2 = 2cis () is:

A: The given quotient of z1=6cis2π3; z2=2cisπ6. Find the value in trigonometric form.

Q: 2. P(1; 1) is a point in the Cartesian plane. Determine and leave your answers in a OP makes an…

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Q: Question 16: If a, ß, y are the cube roots of p (p < 0), then for any x, y and z, find the value of…

A: We are given α,β,γ as the cube roots of p, where p &lt; 0. For any x, y and z, the value of…

Q: odulus and argument (in degrees) of z = -3+ 4i € C [both to 1 desc. pl. accuracy),

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Q: A tank in the form of a rectangular parallelepiped is 12 ft long, 4 ft wide, and 6 ft deep. The tank…

A: Work done to pump water = mgh

Q: 11.5.11 Find the area shared by the circle r, = 4 and the cardioid r, = 4(1 – cos 0). %3D The area…

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Q: 5 Determine the eccentricity for r = 2+ 1sin e

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Q: classily and reduce the relation to Conical form Uxx 2. a comical Jaim. Solve it nical fom and to

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Q: QUESTION 1 (Convolution Theorem) * Using convolution theorem, find 1 (s² - 4) , 2 S S

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Q: V3 e coordinates of a point on the unit circle are What standard positior erval [0, 2 ), corresponds…

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Q: QUESTION 12 Consider the contour C : z– 1+3i=2. The point z=4– 2i real part is - 2 lies outside Not…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r=4-8 cos 0

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Q: Bwing equation for 0 < ax < 2. Yo iswers must be exact. V3 sin x Paragraph B. I

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Q: r=7-7sin(theta) How do I convert this into rectangular form

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Q: 108. A Cubic Equation Let 3x = 7/3, and let y = cos x. Use the result of Example 2 to show that y…

A: Consider the given equation 8y3-6y-1=0                  …1 It is given that, y=cosx Substitute the…

Q: GEOMETRY Unit 3 Test 2 2020-21 /6 of 10 In the figure shown, cos P= 0.60. What is the length of PN?…

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Q: 5.1 Let a eR, v = 4ai - 6j and w=a²i +3j. Determine all nonzero values a, if any, so that is…

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Q: 8 2. Find the type,the eccentricity, vertices. foci and directories of r = 2+3 cos 0"

A: solution:Given thatr=82+3cosθThe equation is in the formr=ep1+e cosθ∴r=82+3cosθ=41+32cosθ

Q: Question 4 of 10 The illustration below is an example of a semi-regular tessellation. OA. True B.…

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Q: 4. Find the exact solutions to x? + i = v3 using De Moivre's Theorem. Write your answers in…

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Q: The equation of a standing wave is obtained by adding the displacements of two waves traveling in…

A: Given that   y1=A cos2πtT-Xλ   and     y2 =A cos2πtT+Xλ                   where  A = amplitude…

Q: 1. Find the quadrant in which e lies: (a) csc 0 0 (b) sec 0> 0 and sin 6 <0

A: a). Cosecϴ &lt;0 and tanϴ&gt;0 In first quadrant all trigonometry function are positive  Only third…

Q: 7. Write your answers for this question on the Answer Sheets, Page 4 Find all value(s) of the…

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Q: Question 5 A cylinder is inscribed in a fixed cone of radius 2c and height c. The vertical axis of…

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Q: 1 dr. + 58 Find 22 – 14x Choose 1 answer: 1 A -arcsin +C 21 3 1 B © jaresin (",") ic +C 3 O wetan ()…

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Q: QUESTION 10 Consider the contour C : z-1+3i =2. The point z=4-2i lies inside real part is -2 lies…

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Q: 19 10 1 Revlew Let (-2, 5) be a point on the terminal side of 0 Find the Cosecant, Secant, and…

A: topic - trigonometric ratios

Q: 10.5.11 Find the area shared by the circle r, = 11 and the cardioid r, = 11(1 - cos 0). The area…

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Q: Question 7 A carpenter is making a backyard deck. In the measurements, he has determined that he…

A: Use area formula of triangle

Q: 65-2 %3D (b) In this part, all lengths are in centimetres. 4-3 4-55 4+V5 S5514+15)-214+ら) 4-155-…

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Q: Q3: What symmetries do this curve have?? r=1- cos² 0 Q4: Find the length of the curve r = 4 cos 0

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Q: The positions of two particles on the s-axis ares1 = cos t and s2 = cos (t + π&gt;4). When do the…

A: We want to find t for which the particles collide, that is,  t for which s1t=s2t: Therefore,…

Q: Find the area of the region shared by the circle 2 and the cardioid r-2(1-cos 0)

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Q: Question 7 r = 8cos 0 + 2sin 0 Which of the following gives the Cartesian form of the equation…

A: use the relation between polar coordinates and cartesian coordinates.

Q: Use De Moivre's theorem to solve for z given z = 3 – 2i. Write your answers in rectangular form. Use…

A: Given: z5 = 3-2iz   = 3-2i15                                     1-------------------De-Moivre's…

Q: Trace the curve r =1/2sinꝋcos3ꝋ

A: Consider the provided curve, r=12sinθcos3θ Trace the provided curve. To draw the graph by using…

Q: 3. B(-3; 4) is a point in the Cartesian plane. B(-3; 4) Determine: a) ОВ b) sin 0 c) d) tan 0 Cos 0

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Q: Question 19 of 34 Find the area of the region enclosed by; the cardioid r32(1-sine) A) I DONT KNOW…

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Q: 20 Find the length of the parabolic segment r= 0<0s 2 1+ cos 0' The length is (Type an exact answer,…

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Q: QUESTION 11 Consider the contour C : z-1+3i|=2. The point z=4-2i Not def ined lies inside real part…

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Q: 2 d 3cos (5) 3 sin(2x) – e- f e2a cos² ()

A: d. Given, I=∫3cosx2dx

Q: 1. An angle in standard position with measure a < 0 has its terminal side passing through the point…

A: Given, An angle in a standard position with measure α&lt;0 has its terminal side passing through the…

Q: Question 2 of 10 Which of the following terms correctly describe the object below? Check all that…

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Q: 2. Find the area of the shaded region shown below: (Hint: the entire curve is traversed once from 0…

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Q: Example 2: Find the point B on AC such that the ratio of AB to BC is 2:3.

A: To divide any length in a ratio of a:b we must divide it into a+b equal parts

Q: Let R3 have the Euclidean inner product. Find the cosine of the angle, 0, between u = (-1,4,2) and v…

A: Applying the Euclidean inner product , the cosine of the angle between u and v can be defined by the…

Q: 1-2 The area of the region. (1) Sketch r = 4 sin(20) and r = 2 I) Label two areas (I and II). One…

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Q: Question 113 of 190 FINAL- Mathematics Find the measure of Zx in the triangle below. 3x x OA. 45°…

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