3 4 pts use the linearization in problem 2 to

Info icon This preview shows pages 5–8. Sign up to view the full content.

View Full Document Right Arrow Icon
(3) [4 pts] Use the linearization in problem 2 to estimate sin( π - 1 10 ) (4) Note that you are not asked to determine where the function is concave up/down nor do you need to find the points of inflec- tion. Be careful when computing f 0 ( x ) ! Given the function y = f ( x ) = ( x +2) 2 x 2 - 1 (a) [2 pts] Find the x and y intercepts of the function. (b) [2 points] Find all asymptotes.
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
(c) [2 pts] Find the open intervals where f ( x ) is increasing and the open intervals where f ( x ) is decreasing. (d) [2 pts] Find the local maximum and local minimum values of f ( x ). (Be sure to give the x and y coordinates of each of them). (e) [5 pts] Use the above information to graph the function below. Indicate all relevant information in the graph; in particular any absolute/local maxima/minima .
Image of page 6
(5) [9 pts] If y = f ( x ) = 3 x 2 - 1, find the absolute maximum and minimum of f ( x ) on the closed interval [ - 2 , 2]. (Include the appropriate y values, simplify when possible.)
Image of page 7

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
(6) [10 pts] A cannon tracks an air plane which flies at a constant altitude of 5 km and a speed of 300 km/h directly toward the cannon. How fast (in radians/hour) is the angle between the cannon and a vertical line decreasing when the plane is 5 km away from the point P straight above the gun which is at an altitude of 5 km. 5 km Cannon Plane P θ
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern