practice final for Math

practice final for Math - polynomial ´±²³ = ² µ 2² ...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Prof. Shamik Sengupta – Office 4210 N Phone: (212)-237-8826 Email: [email protected] Office Hours: T/W/Th – 8:30 AM – 9:00 AM & by Appointment MATH 141 – Precalculus Mathematics – Summer 2010 Sample Practice Test: 100 Marks, Time: 150 min. (9:00 am – 11:30 am) Name: Grade: ___________ Show your answers clearly. Show your steps. There will be credits for correct steps. Best of Luck! 1. [5] Simplify: g3117 g3299g3127g3117 g2879 g3118 g3299g3126g3117 g3299 g3299 g3118 g3127g3117 g2879 g3117 g3299g3126g3117 2. [5] Factor completely: 6 g1876 2 −5g1876−6 3. [10] Determine the average rate of change of the function between x = 0 and x = h and state whether this is increasing or decreasing function. Remember h may be positive or negative. Comment accordingly. g1859g4666g1876g4667= 2 g1876+1 2 g1876−1
Image of page 1

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

View Full Document Right Arrow Icon
4. [10] Find ° g1859 ° g1858 . Note, this is NOT a multiplication function. g1858g4666g1876g4667= g1876−1; g1859g4666g1876g4667= uni221Ag1876 ; ℎg4666g1876g4667= g1876−1 5. [10] Factor the polynomial and use the factored form to find the zeros of the polynomial. Explain the end behavior of the polynomial. Sketch the graph using the end behavior and the zeros of the
Image of page 2
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: polynomial. ´±²³ = ² µ + 2² ¶ − 8² 6. [10] A person invests $1000 in an account that pays 2% interest per year, compounded continuously. a) What is the accumulated amount after 3 years? b) How long will it take for the amount to be $3000? 7. [5] Solve the logarithmic equation for x: log G ±² ³ − 1´ − log G ±² − 1´ = 2 8. [10] Assume in a triangle ABC, a = 75, b = 100 and A = 30°. Solve for other parameters of the triangle. (Find other angles and side.) 9. [5] Simplify the trigonometric expression completely. secµ − cosµ tanµ 10. [10] Prove the identity: ±1 − tanµ´±1 − cot µ´ = 2 − secµ cscµ 11. [10] Using Gaussian or Gauss-Jordan elimination, solve the system of equations. (show your steps clearly to get partial credits) g − 2G + ± = 1 y + 2z = 5 x + y + 3z = 8 12. [10] Calculate the products AB and BA to verify that B is the inverse of A. ² = ³ 1 3 −1 1 4 −1 −3 2 ´µ¶· ¸ = ³ 8 −3 4 −2 1 −1 1 1 ´...
View Full 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