a) Find the slope of the curve at the given point and sketch the curve. al) y = 2-x at (3, -7) a2) y = 3x? - 2x at (-1, 1)

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: Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2…

A: a3 - b3 = (a-b)(a2+ab+b2)

Q: Find y if the line through (-4, 3) and (12, y) has a slope of 1/8.

A: We have been given the points (-4, 3) and (12, y) has a slope 18

Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: the equation of line is perpendicular to 2x-y=4 passes through(-1,3) find the coefficient of the y…

A: I have appended the formula used in the solution part.

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

A:

Q: The graph of the line y=1/3x+1 intersects a second line at a right angle . If the y intersect of the…

A: the given line equation y=1/3x+1   .......(1) compare this line with standard form y = mx  +c m =…