Problem 2. Express the function x² – y? 3 2xyz it x² + y² j+xk F = in terms of the coordinates p, 4, z and unit vectors êp, §, ê for the cylindrical polar coordinate system.

Q: Find the vector and parametric equations for the line through the point P(4, -2, -4) and parallel to…

A: Find the vector and parametric equations for the linethrough the point P4,-2,4 and parallel to the…

Q: Let P be the point (1, 1, 4). Find the parametric equations of the line through P and parallel to…

A:

Q: QUESTION 1 x(t) = t – t2 y(t) = t3 Find dy/dx whent = 2. Round off to two decimal places.

A: Given: xt=t-t2, yt=t3 we know that dydx for given function is given by dydx=dydtdxdt=ddtt3ddtt-t2…

Q: 5. Answer the following questions. (b) (c) Find the direction vector of the line given by parametric…

A: The given  equation of line is

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

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Q: d. y= x² + y x + cos y

A:

Q: Find vectors u and v such that the parametric equation of the line y = mx +b can be expressed as…

A: Equation of the line : y=mx+bAbove line is expressed as : xy=tu+v

Q: Complete the parametric equations of the point (-6,-5,-1) and perpendicular to the plane 4x-2y+3z=7…

A: Given query is to find parametric equation.

Q: Find vectors u and v such that the parametric equation of the line y = mx + b can be expressed as…

A: Equation of the line : y=mx+bAbove line is expressed as : yx=tu+v