Therefore, the system in polar coordinates is given by i = r(1 – r2 – r² sin? 20) Ô = 1+ 4r2 cos 0 sin³ 0. -

Q: The relationship between rectangular coordinates (x, y) and polar coordinates [r, 0] can be…

A: According to question,Given equations,x = r cos θ,y = r sin θ,r = x2 + y2tan θ = yx

Q: S(csc a cot z + 10a°)dr cos z + z10 +c 10 - Csc x + +c cot z + a10 +c tan r + x" + c sin z – r10 +c

A: Use power integration rule and substitution method to find given integration.

Q: 2) find the radius and coordinate center for the equation 2x42y+10y-12х-20-0 3) prove that sin 2x…

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Q: fx=5+cos20 and y=3– sin20 , what is dx A csc³20 B cot20 c) none of the given choices D - csc³20

A:

Q: 1. Find each of the following. Write each complex number in the form x+ iy. (a) Write (-2 – i) in…

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Q: 3 (cos 53° +i sin 53°) - 6 (cos 47° +i sin 47°) = r (cos 0 + i sin 0) r= .0 =

A:

Q: express sin 0 and cos 0 in terms of t. 2 6. By using t = tan Hence,

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

Q: x = cos , y = cos² 8 + 8 cos 0 Solution: x = cos 0, y = sin 20 Solution:

A: The parametric equations are as follows:a) b) To Find:Graph the curve also determines the vertex of…

Q: Show that cos 120 cos 40 – 3 cos 40 sin? 40 and use this identity to find an equation in rectangular…

A: We have to show that cos12θ=cos34θ−3cos4θsin24θ Consider  cos12θ=cos34θ=cos3P        Let P=4θ We…

Q: -following expression as a complex number in polar form = evi = + + 8-j6 J² magnitude 1 phase = 14°…

A: The complex numbers are given in the polar coordinates.The aim is to digitalize the given content.

Q: Ca 3+1) cos ca 4+4x)dx

A: To solve ∫x3+1cosx4+4xdx

Q: Find all complex values z satisfying the equation 1) sin z=i

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the solution. (Dª+2D3 + 10D2)y =0. @y = c,e-+czxe¯+e"(e,cos3r +c,sin3x) y = (c,+c,)x+e*(c,cos3x…

A: To solve the given Differential equation.

Q: Find [2 Cos 30° + i sin 30⁰ Y = 2 n=s 0 = 30 5

A: De Moivre's Theoremif r(cosθ+isinθ) is a complex number, thenrcosθ+isinθn=rncosnθ+isinnθ

Q: Prove that v2 cos(20+45°) = cos e-2sin Ocos 0-sin 0, where 0 is measured in degrees.

A: *formula:- cos(A+B) = cosA*cosB - sinA*sinB. sin2A = 2sinA*cosA. cos2A = cos^2(A) - sin^2(A).

Q: b) r= 3cos(0)-3 sin (0)

A: Idea: substitute x=rCos(theta) and y=rSin(theta) and simplify we get equation in Cartesian form

Q: cos20 iii) modulus of complex z = 3 +- (cos0)² + i equal to a. V3 b.3 c. V2 d. 2 с.

A: Given

Q: Let z = 9(cos 2.3+isin 2.3). Write the following numbers in the polar form r(cos o + i sin ø), 0 < o…

A: Here, the given complex number is: z=9(cos 2.3+ sin 2.3) Comparing the number z with r(cos ϕ+i sin…

Q: c) Using De Moivre's Theorem, show that sin(30) = 3 sin – 4 sin³ 0 Hence, obtain all possible…

A: We have to prove the given equation and find all possible solutions.

Q: 4) z = (4 + j3)sinh(3+j)+cos(3-j2)

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Q: 3. (ey + 1)²e-dx + (ex + 1)³e¯*dy = 0

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Q: c) do %3D sin*e cos?o

A:

Q: 4. Find all solutions in radians. b) 2 tan () = 1+tan c) 2sin² (20) -√3 sin(20) = 0

A: This is a problem on trigonometry. It has been done step by step. See the following image

Q: 4. Find all solutions in radians. a) cos(50) = -1 IN 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. y =c,e+ce+c,e²r+c,cosx + c zsinx y =…

A:

Q: a) Find all solutions of the equation 10 cos²x+3 sinx-9 = 0 on the interval [0, 2n)

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Q: 10°+60+16)y=cos ux

A:

Q: (b) –8/2 +8V21 | (X The polar form is | 18 cos + i sin 4 4 Give an exact answer.

A: Here we will find the polar form of given complex number,