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Q: Find the Cartesian equation of the polar equation p² = 2[1+ r(cos 0 – sin 0)] and identify its…

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Q: The following sets of parametric equations describe the paths of two objects that collide after T…

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Q: A particle a of mass m moves inside a bowl. If the surface of the bowl is given by the equation Z m…

A: As per the question we are given the 3d equation of a surface in cartesian coordinates as :  z =…

Q: The polar equation for the curve whose rectangular(cartesian)equation xy 2 is: (a)rcos@sine = 4 8…

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Q: Find the equation y = Po + B,x of the least-squares line that best fits the given data points.…

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Q: Consider the curve C of equation (2x² – y + y³)² = a² + y? From the choices given, select the one…

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Q: Coordinate Geometry:Question 3 Square PQRS has vertices P(-

A: Given that the square PQRS has vertices P( -3, 1), Q(0, 5), R(4, 2) and S(1, -2). Then we get,…

Q: 3. Rewrite the polar equation in rectangular, rewrite it either as a conic section or in the form y…

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Q: Find the height of the square pyramid with the given dimensions. See Example 6. Area of the base =…

A: We know Given that B=361 and volume=3249 We have to find h

Q: With your graphing utility in radian and parametric modes, enter the equations XIT = cos T and Y1T…

A: We have to graph the entered equations and describe the graph and find the the least and greatest…

Q: Given the parametric equations x = 2t2 +t, y=t - 2t . (a) Eliminate the parameter t to get a…

A: We have to solve

Q: According to Kepler's first law, a comet should have an elliptic, parabolic, or hyperbolic orbit…

A: From the table, ϑ=0.86, r=2.92ϑ=1.41, r=2.31

Q: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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Q: 1. Describe the graphs of the equation (a) r = cos 20 in cylindrical coordinates. (b) p= sec otan 0…

A: First change cylindrical and spherical coordinates system to Cartesian coordinates system

Q: Convert the following rectangular equations into polar equations. (a) x² + y² = 2x r = a cos(0); a=…

A: a) x2+y2=2x To convert rectangular equation to polar, substitute x=rcos(θ) and y=rsin(θ) So, the…

Q: Consider the polar curve r = 0 + sin(0). Rewrite the polar curve as a parametric curve, i.e., find…

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Q: Graph the curves having the following polar equations. (a) r² = sin(20). Explain how the curve…

A: (a) Given equation in polar coordinate is Noted that curve is symmetrical about the line ,also…

Q: According to Kepler's first law, a comet should have an elliptic, parabolic, or hyperbolic orbit…

A: Polar form of ellipse is given by r=ep+ercosθ where, r=Distance between center of ellipse and any…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.