Find the projection of u = A l = tu, where u proj (7) = = 2 onto the line of R³ given by the parametric equation

Q: Use polar coordinates to evaluate (x² + y° )% dy dr.

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Q: Find the equation of the curve whose parametric equations are x = 1 + 4 cos 0, y = 2 + 3 sin 0, 0 €…

A: The given problem is to find the equation of curve whose parametric equations…

Q: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

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Q: Find the equation of the curve whose parametric equations are x = 1+ 4 cos 8, y = 2 + 3 sin 0, 0 €…

A: We have to find the equation of curves whose parametric equation is given by

Q: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…

A: Given: The equation of cylinder is: x-12+y24=1 .....(1) The equation of paraboloid is: x2+y-22=z…

Q: Consider the following parametric equations:   x= √t y=√(t−1) (a)  Sketch the curve represented…

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Q: Determine the parametric equation for a line that is tangent (intersection) of the two fields below:…

A: We have to find out parametric equation for a line that is tangent (intersection)of the two fields…

Q: find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

A: The equation of the tangent line is

Q: Consider the parametric equations for a curve in the xy-plane given by: x = t^3 - 3t y = t^2 - 2…

A: The given problem is to find Tangent line to the curve at the given point t=2.Given parametric…

Q: Find parametric equations for the tangent line to the curve a-tcost, y-t, z- tsint at the

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Q: Eliminate the parameter t from the parametric equationsx =3 +sin t and y = cos t - 2.

A: Given: x=3+sint and y=cost-2 We have to eliminate the parameter t from the parametric equations.…

Q: Find parametric equations for the surface generated by revolving the curve y = 21 sin x about the…

A: The objective here is to find the parametric equation for the surface generated by revolving the…

Q: consider the following set of parametric equations: x = 6tanhθ ; y = 3sechθ Calculate d^2y/dx^2

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Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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Q: convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

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Q: (x = -1 + sect b) { y = 2 + tant -<< 2 2

A: To convert the given parametric equation to Cartesian form.

Q: For the parametric curve x = t^2 + 2t + 1, y = 6t + 1, find the Cartesian equation(s) for all…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…