Would you please help me on these questions? Practice Exam 1Chapters 1 & 2MATH 201(4- (x+ 4) x<-1-1sxs4where a &are real mumber constantsCoider the function f(x){ax +b- Using a-l&b-4, sketch the graph of f). Make sure you label all "jump" points and intercepts.b. Using a v1 &b m4, find:AO = 3lum f(x).lim f(x)lim f(x).lim f(x)c. Find the values of a & b that will make f6x) continuous over its entire domain.6. Use f(x) =-,to answer the following;x+2lim f(x)-f(a)a. Use the difference quotient f'(a) =to find f'(a).X-ab. What is the rate of change offwith respect to x when a = 3?c. Find in slope-intercept form the equation of the line tangent to f(x) at x= 1.d. Neatly sketch the graph fand the tangent line. Show your scale and label your axes.7. The chart below shows the total number of gallons that have leaked out of a tank in a catch basin over a period of ten hours. Thenumber of gallons is a running total for the ten hours. For example, after one hour a total of 100 gallons has leaked out and aftertwo hours a total of 175 gallons has leaked out.0 123.4.710G100175225265295320341360378386a. Show how to determine the average rate of the leak over the first 5 hours. (State the units.)b. For hours 1 through 10, set up a table that shows the average rate of leakage over the previous hour. If we call this functionL(T) then L(5) is the rate of leakage from hour 4 to hour 5 and L(10) is the rate of leakage from hour 9 to hour 10.c. Is the leak getting worse or better as time goes on? Explain your answer.d. Use hours 4, 5 & 6 to estimate the instantaneous rate of change at T= 5. (There can be several answers.)e. Use the answer you got in part d to find the equation of the tangent line at T= 5.

Name: Would you please help me on these questions? Practice Exam 1Chapters 1
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Would you please help me on these questions? Practice Exam 1Chapters 1 & 2MATH 201(4- (x+ 4) x<-1-1sxs4where a &are real mumber constantsCoider the function f(x){ax +b- Using a-l&b-4, sketch the graph of f). Make sure you label all "jump" points and