Sorry, that one was given to me incomplete. I'd like to submit another one instead.   - Find the equation of the line tangent and normal of the following function and make sure to graph both lines. y = x^3-3x^2+2 at (3,2)

For the curve x^3 + y^2 + 2xy = 4x Find all the x-intercepts of the curve. Then for each x-intercept found, find the slope of the tangent to the curve at that point (if there is no slope explain why).

Can you please answer this question and show all of the steps and say the correct letter

Find all points on the semicircle, y=sqrt 7-x^2, at which the slope of the tangent line is equal to 2. Sketch a graph of the semicircle and tangent line to the curve at the points found.

Write the standard form of the equation of the circle with the given center and radius : Center (-3, -1), r = √3

Plot the line y=1-3x and the curve y=34.6-x^2 (all under a square root). Find their point of intersection. Then find the acute angle between the tangent lines at this point of intersection.  Look at the plot to determine if you need to add or substract their inclinations

Calculate the derivative

make a table of values and sketch the curve, indicating the direction of your graph.  x=2-t^2 y= t -2 < t < 2      -     -

please help me with all step by step