What is the average rate of change of the height with respect to time over the interval ?ġ3.The area A(x) of a rectangle is given by A(x) = 4x^2 - 3x + 2, where x is the width. What is the instantaneous rate of change of the rocket's height with respect to time at t = 2 seconds?ġ2.The height h (in meters) of a tree at time t (in years) is given by the equation h(t) = 5t^3 - 4t^2 + 3t + 10. What is the average rate of change of the volume with respect to the radius over the interval ?ġ1.The height of a rocket at time t is given by the equation h(t) = 5t^2 + 10t + 15. What is the instantaneous rate of change of the temperature with respect to time at t = 4 minutes?ġ0.The volume V of a sphere with respect to its radius r is given by V(r) = (4/3)πr^3. What is the average rate of change of the temperature with respect to time over the interval ?ĩ.The temperature T (in degrees Celsius) of an object at time t (in minutes) is given by the equation T(t) = 2t^2 + 5t + 10. What is the average rate of change of the cost with respect to the number of units produced over the interval ?Ĩ.The temperature T (in degrees Celsius) of an object at time t (in minutes) is given by the equation T(t) = 5t^2 + 3t + 10.
What is the instantaneous rate of change of the revenue with respect to the number of units sold when x = 2?ħ.The cost C (in dollars) to produce x units of a product is given by the equation C(x) = 4x^2 - 3x + 8. What is the average rate of change of the car's position with respect to time over the interval ?Ħ.The revenue R(x) (in thousands of dollars) of a company is given by R(x) = 3x^3 - 2x^2 + 5x - 7, where x is the number of units sold. What is the instantaneous rate of change of the surface area with respect to the side length when x = 4?ĥ.The position of a car at time t is given by the equation s(t) = 2t^3 - 3t^2 + 4t + 5. What is the instantaneous rate of change of the particle's velocity with respect to time at t = 2 seconds?Ĥ.The surface area A of a cube is given by A(x) = 6x^2, where x is the length of a side. What is the instantaneous rate of change of the population with respect to time at t = 1 year?ģ.A particle's velocity is given by v(t) = 6t^2 + 4t - 2, where t is time in seconds. What is the average rate of change of the revenue with respect to the number of units sold over the interval ?Ģ.The population P of a town (in thousands) is given by the equation P(t) = 2t^3 - 5t^2 + 3t + 10, where t is time in years.
Units sold x is given by R(x) = 3x^2 + 5x + 7. 1.The revenue R (in thousands of dollars) of a company as a function of the number of
0 kommentar(er)
