-(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve traced out by r(t) when t = 5. b. Find a direction vector for the line tangent to the graph of r at the point where t = 5 c. Find a parametric equation of the line tangent to 7(t) at t =5 x(t) = 122 – 50t y(t) = %3D z(t)

Q: Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with…

A:

Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

A: Given curve is x2+y2−xy=a2. Differentiate x2+y2−xy=a2 with respect to x, we get…

Q: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

A:

Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

A:

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

A:

Q: For the curve 2² - 4xy² = y³ +9, do the following:

A:

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

A: