Suppose an object moves along the y axis so that its location is y=f(x)=x²+x at time x (y is in meters, x is in seconds). Find (A) The average velocity (the average rate of change of y with respect to x) for x changing from 2 to 4. (B) The average velocity for x changing from 2 to 2+h. (C) The instantaneous velocity at x=2 second..

Q: the average rate of change 5/-3  greater or less than the rate of change of the linear function…

A: To determine rate of change

Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

Q: Suppose the cost of producing q leather smartphone cases can be found with the function…

A: Consider the provided function, Cq=100+2q-0.01q2 We need to find the average rate of change of this…

Q: 2. A photographer uses a light meter to measure the intensity of light from a flash bulb. The…

A: According to giver that. The intensity for the flash bulb, 2. measured in function of the distance…

Q: Find the derivative of the function h(w) = -7w¯4 +6/w. %3D h'(w) :

A: The function is  h(w) =-7w-4+6w. We know that derivative of wn, i.e., dwndw = nwn-1.

Q: The description of body-heat loss due to convection involves a coefficient of convection, Kc, which…

A:

Q: Compute the average rate of change of f from x1 to x2. Interpret your result graphically.…

A:

Q: Find the relative rate of change if f(x)= 10 – 3e-4. %3D |

A: Given,           The relative rate of change of f(x)=10-3e-4xWe know that that,         The relative…

Q: A function f(x) satisfies f(-7.3) = 6.6 and f'(-7.3) = -8.8. What is the equation of the tangent…

A: