Obtain the differential equation of the family of plane curves described: 1. Straight lines with algebraic sum of the intercepts fixed as k.

Q: I Find the differential equation of the family of plane curves described, Draw at least three…

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Q: Find parametric equations for the tangent line to the curve of intersection of the cylinders x = 74…

A: given curves x2+z2=74 , y2+z2=74 , point 5,-5,7  to find parametric equations for the tangent line…

Q: particle started at A(1,0) circled the origin once  an d returned toA(1,0) .what were the change in…

A: Given: A particle started at A(1,0) circled the origin once  and  returns to A(1,0)

Q: Find the equation of the curve at any point  P(x,y) of a curve the subtangent equals -1/x

A: Given that the subtangent equals -1x. Then we get, tan θ2=-1x⇒tan θ=2 tan θ21-tan2 θ2⇒tan…

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: 7. Calculate dy/dx at the point indicated: f(0) = (7tan O, cos O), 0=/4

A: Here we will use the concept of parametric equation and Derivative of parametric ewyations

Q: Consider the following. x = sin(3t), y = -cos(3t), z = 6t; (0, 1, 2n) Find the equation of the…

A: Given :- The given curve x = sin 3t ,  y =-cos 3t  , z =6t   ;  0,1,2π To determine :- The equation…