01: Find the angle () between the tangents lines of the 4(1 + cos 0) at the line r 3 sec 0 and the cardioid r = = points of the intersection ?

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Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then…

Q: A bullet fired from a gun follows the trajectory x = at, y = bt – 16t2 (a, b > 0) Show that the…

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

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Q: Show algebraically where the tangent line of the function r=1+cos theta is vertical and where the…

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Q: Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt

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Q: Determine order and degree * d'y d'y + cos dr? dr? 2 O 5 undefine- Not linear

A: The degree of a differential equation is the power of its highest derivatives.

Q: Find cot theta of 4x + 9y = 0, x is greater than or equal to 0.

A: We will find the concept of slope to get value of cot thetha

Q: Find all Second partial derivatives fcx.y)- Sin?Cmx+ny)

A: Given that, f(x, y) = sin2(mx + ny) we have to find second partial derivative with respect to x and…

Q: terminal side of theta defined by y=4x, x<0

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Q: Find where w= cos z - cos x cos 2y + sin x sin 2y and z x+2y. Me.

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Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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Q: 2. Prove that, V{(sec 0 - 1)/(sec 0 + 1)} cot 0. = cosec e

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Q: Find the GS of: (r + sin e - cos e)dr + r(sin e +cos E)dO =0 O r2+2r(sine - cos©+C=0 Or2-2r(sine -…

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Q: St) = r°+x}

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Q: What is y = sin (xy)

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Q: Differentiate (sin(ax+b)/cos(cx+d))

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Q: Find dr de = dr de (5+ sec 0) sin 0

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Q: If from any point P on circle x² + y² + 2gx + 2fy + c = 0, tangents are drawn to the circle x² + y²…

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