Find the average rate of change of between the points on the function whose coordinates are (1, 3), and (2, 16). (Enter an exact number.)

Q: curve Y = √x closest to the point (5,5

A: The given curve is y=x.

Q: Let P = (x,y) be a point on the graph of y = x- 12. %3! Express the distance, d, from P to the…

A: The given problem is to find the distance function in terms of x where distance between origin and…

Q: Find a cubic function whose graph has horizontal tangents at the points (-2, 6) and (2, 0

A: Take y=ax3+bx2+cx+d Differentiate with respect to x, y'=d(ax3+bx2+cx+d)dx Since the tangent is…

Q: Find the slope of the tangent line at (8, -8).

A: Given- Point 8,-8. To Find- The slope of the tangent line at the given point. Identity Used- tanθ=yx

Q: Construct a function that passes through the origin with a constant slope of 1, with removable…

A:

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Let P= (x,y) be a point on the graph of y = x. Express the distance, d, from P to (7,0) as a…

A:

Exponential Growth Model

The relation that represents an exponential function is: