find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or equal to 2

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: Where is the line y=5-2x closest to the origin. Use optimization

A: Identify the point (x0, y0) on the line y=5-2x that is closet to the origin.

Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis

A:

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

A: Given, the line equation

Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.

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

A:

Q: Find the distance between the point (2, 9) and the line y = 3x + 4

A: Find the distance between the point (2, 9) and the line y = 3x + 4 To find the distance between a…