Find the equation of the line tangent to the curve -2x² - y5 + 3x + 6y = 6 at the point (1, 1). Provide your answer below:

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: find the equation of the line parallel to 8x+13y=16 and passing through the point (0,16).

A: Given equation of a line 8x+13y=16 and a point 0,16 through which a parallel line passes. To find…

Q: Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin is 7.

A: Given equation of line is  2x+3y=1 The distance of the line perpendicular to 2x+3y=1 from origin is…