4. (calculus with parametric curves) For the following curves, find an equation for the line tangent to the curve at the point defined by the given value of t. Also find d²y/dx² at that point. i. x = 1/t y = −2+ lnt, t = 1

Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

A:

Q: Consider the following curve: x? + y2 - 4x = 8xy² +92 An equation of the tangent line to the curve…

A: Our Aim is to find an equation of the tangent line to the curve given by:-x2+y2-4x=8xy2+92 -(i) at…

Q: Find an equation for the line tangent to the following curve at the point (2, 1). 1 – y = sin (x + y…

A:

Q: Find an equation for the line that is tangent to the curve y = 5x - 5x at the point (1,0). The…

A: Our Aim is to find an equation for the line that is tangent to the curve y=5x3-5xat the point (1,0).…

Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

A:

Q: 3. A circle exists whose equation can be written as y2 – 16y +x² – 10x = -64. a. Find for this…

A: