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: I. Find dy/dx. II. Find the points on the curve where the tangent is horizontal. III. Find the…

A: x=t3-3ty=t3-3t2

Q: Find the equation of the tangent line to the curve y = 3x2 + 2x +7 at the y intercept.

A: Given: y = 3x2+ 2x+7

Q: Find dy/dx. II. Find the points on the curve where the tangent is horizontal. III. Find the points…

A:

Q: Find dy/dx. II. Find the points on the curve where the tangent is horizontal. III. Find the points…

A: As per the company guidelines we are supposed to answer first three subparts.Kindly repost the other…

Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

A:

Q: Can you help me with this and please show me step-by-step, Thank you.  Curve that pases through the…

A:

Q: If f(x) = 4x² - 2x + 3, find f'(4). Use this to find the equation of the tangent line to the…

A: To Find Equation of tangent line to the parabola.

Q: 3. For the curve x – xy² = 8e²4, do the following | a) Verify that the point (2,0) is on this curve.

A: Given, curve x3-xy2=8e2y