The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet) (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] (ii) [3, 4] (iii) [4, 5] (iv) [4, 6] 0 1 ft/s ft/s ft/s 0 4.9 10.6 23.1 50.3 ft/s 2 ft/s 3 4 5 6 109.5 238.3 (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to on decimal place.)

Q: 8. Create equations of the following function. Provide an accurate sketch a) A cubic function with…

A:

Q: 1 is discontinuous. Find the distance between the two values of x at which the function x² -3x + 2

A: Given rational function is as below

Q: a) Graph A: 100 R -100 -6 -2 b) Graph B: 10 -6 -4 -2 c) Graph C: ()/ ()/ (1)/

A: Given:

Q: 1. To obtain the graph of y=asinb(x-h)+k, explain what each of the values of a, b, h, and k affects…

A:

Q: See image for equation. It’s a derivative.

A:

Q: Determine the equation of the tangent to y = (x – 7)(x+2) at the point P(-1,-8). Answer:

A:

Q: 1. Identify the Vertex: From each equation, find the vertex. The vertex is the point (h, k) where: •…

A: We have to draw the parabolas f(x) and g(x) on the same xy plane.

Q: Consider the following function and point. =X+2, (3,5) (a) Find an equation of the tangent line to…

A: The given function .The aim is to find the equation of the tangent line at the point  and sketch its…

Q: Some of the curves corresponding

A: The differential equation can be solved by isolating the variables. The value of the constants…

Q: Please answer this advanced functions grade 12 question on paper, please make sure all of them are…

A: Step 1:

Q: Find an equation of the tangent line to the graph of the following function f at the specified…

A: