x-coordinate of Q = y-coordinate of Q = Find the area S of the shaded triangle in the figure as an integral in polar coordinates if f(0) = 8 sec(0 – 4). r = fe) х (Use symbolic notation and fractions where needed.) Find the rectangular coordinates of P and Q. (Use symbolic notation and fractions where needed.) x-coordinate of P = y-coordinate of P =

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Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

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Q: 81. A wire filament is shaped to match the graph of the func- tion of y = In(2 cos x) from x = - to…

A: Solution: Consider the given function: y = f(x) = ln2 cos x from x = -π3 to x = π3 we have: The…

Q: Q2-B) Change the double integral ( polar coordinates and evahuate the integral. 1-x2 U (r+y²) dy dx)…

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Q: A)Determine the value of (-9+j 6) , expressing the result in polar, exponential and rectangular…

A: A) Consider the given complex number, -9+j65 Here we need to find the value of the complex number.…

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Q: * * 3 sin Evaluate the spherical coordinate integral | p sin o dp do d0. 0 0 The value is. (Type an…

A: solution is given below..

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Q: a. Sketch the graphs of the limaçon r = 1+ 2 cose and the circle r = 2cos0 in one polar plane.…

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Q: A.Sketch the two curves: B. 1. r1 = 3 cos 0. 2. r2 = 1+ cos e Find the area of the region that lies…

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Q: 6) Consider the (cycloid) curve given by parametric equations x = t- sin t y =1-cos! 0sis27 Find one…

A: Definition used -           Area between the curve when equations are parametric -…

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A: Plot

Q: 3. DETAILS SCALCET8 7.2.0оз. Evaluate the integral. 1/2 sin11(e) cos (e) de Need Help? Read It Watch…

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Q: https://prnt.sc/s9mq7f

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

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Q: 3 19-x ? 2 b) Use the polar coordinate to find the integral J ] sin(x´+y´) dydx -3

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Q: (Direct evaluation of complex line integrals) Calculate the following complex line integrals.…

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Q: Q1: i le'dydx a) By using the change of order evaluate the integral 0 x/3 3 V9-x b) Use the polar…

A: From the given problem:   a)   I=∫03∫x31ey3dydx     Now change the order:…

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Q: The curve C i given in a polar coordinates by: r = √(3*sinθ+4*cos(2θ)+2) 0≤θ≤π/2 Make a sketch of…

A: Given,  r = 3sinθ+4cos(2θ)+2 ,  0≤θ≤π2 Sketch of the curve.

Q: √64-² S.S. - In (x² + y² + 1) dx dy = ₁₂ dr dr de

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Q: sinx sinx +x The integral / COSx - e te e sinr equal to zero. Evaluate m +n+p+q+r. dx may be written…

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Q: cv84–x² Convert the integral x dy dx to polar coordinates and -V64–a² evaluate. NOTE: Enter exact…

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