Please help me with this study guide

_1185500/1185310/664cb4d83fd01a7e28aa4a118e7fea4bb5247a4c/1185310.pdf 3 / 4 - 90% +8 10) The graph of h(x) is shown below. Find the average value of h(x) over the interval [0, 10). 1/4 90% + h (x ). 1) Find the average value of the function f (x) = 3 - 4x + 5x over the interval [-1, 3]. - 24 2) Find the average value of the function g(x) = ! over the interval [1, e]. -2 3) Find the average value of the function y(x) = 4 secx over the interval [0, it/3]. 11) Refer to the graph of h(x) in Problem 10. Find the average rate of change in h(x) over the interval 0, 10] 4) The area under the curve defined by the positive function f (x) on the interval [2, 6] is known to be 34. What is the average value of f (x) over the interval [2, 6]? 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(() = 96 024, where (1) is measured in bacteria per hour. At t = 0, there are 400 bacteria in the colony. Find the average growth rate for the time period 0 s t s 24. Include units in your answer 5) The function g(x) is always negative and has an average value of -12 over the interval 0 s x s 5. Find the area between the curve y = g(x) and the x-axis on the interval [0, 5]. 13) Refer to the information in Problem 12. How many bacteria would be in the colony at the end of the 24-hour period? Round your answer to the nearest bacterium, MacBook Air 888 119 6) Write an expression that can be used to find the average rate of change in the function g(x) over the interval [4, 9]. A A 5 6 9 R T Y O 7) Write an expression that can be used to find the average value for the function g(x) over the interval [4. 9). 4 / 4 - 90% 8) Use the table of values below to find the average rate of change in f (x) over the interval 0 s x s 20. Show your calculations. x 0 5 10 15 1 ( x ) 3 -1 - 6 4 2 14) A student attempts to find the average value of y = x"' on the interval [-2, 2] using the following computation 2 _( 2) ,(x') dx. Is this accurate? Explain your reasoning. 9) Use the table of values below to find the average value of f (x) over the interval 0 s x s 20. Show your calculations. x f ( x ) 21 8 4 2 15) Describe the difference in finding the average velocity over an interval given the position function, s(). and the velocity function, v(()