Please help me with these practice problems!
5. [-/1 Points] DETAILS LARCALC11 2.2.050. Find the derivative of the function. f(t) = 5+2/3 - 5+1/3 + 4 f ' (t ) = Need Help? Read It 6. [0.5/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 2.2.055. Consider the given function and point. f(x) = -5x4 + 7x2 - 2, (1, 0) (a) Find an equation of the tangent line to the graph of the function at the given point. y =12. [-/1 Points] DETAILS LARCALC11 2.2.106. MY NOTES ASK YOUR TEACHER PRACTICE ANO The annual inventory cost C for a manufacturer is given below, where Q is the order size when the inventory is replenished. Find the change in annual cost when Q is increased from 346 to 347, and compare this with the instantaneous rate of change when Q = 346 (Round your answers to two decimal places.) C = 1,005,000 + 5.5Q Q Change in C = C'(346) = Need Help? Read It 13. [-/1 Points] DETAILS LARCALC11 2.2.109. MY NOTES ASK YOUR TEACHER PRACTICE ANOT Find the equation(s) of the tangent line(s) to the graph of the curve y = x - 11x through the point (1, -11) not on the graph. (Enter your answers as a comma-separated list of equations.) Need Help? Read It7. [-11 Points] DETAILS LARCALC11 2.2.062.M|. Determine the point(5} {if any) at which the graph of the function has a horizontal tangent line. {If the function has no horizontal tangent line, enter NONE.) y=x2+3 (x; n = ( Z) Need Help? 2. [!1 Points] DETAILS LARCALC11 2.2.023. Use the rules of differentiation to nd the derivative of the function. it. =_3In9 r 9 (1 Need Help? 3- [-!1 Points] DETAILS LARCALCH 2.2.027. Complete the table to nd the derivative of the function. Original Function Rewrite Differentiate Simplify Need Help? 4. [!1 Points] DETAILS LARCALC11 2.2.035. Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to conrm your results. Function Point y = (4x + 112, (a, 1} m = Z Need Help? 9. [-/1 Points] DETAILS LARCALC11 2.2.092.MI. MY NOTES ASK YOUR TEACHER PRACTICE Find the average rate of change of the function over the given interval. f(t ) = 4+2 - 3, [1, 1.1] Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. left endpoint right endpoint Need Help? Read It Master It 10. [-/1 Points] DETAILS LARCALC11 2.2.097. MY NOTES ASK YOUR TEACHER PRACTICE A projectile is shot upward from the surface of Earth with an initial velocity of 123 meters per second. Use the position function below for free-falling objects. What is its velocity after 4 seconds? After 13 seconds? (Round your answers to one decimal place.) s(t) = -4.9tz + vat + 50 4 s m/s 13 s m/s Need Help? Read It Watch It
