practice final for Math

practice final for Math - polynomial. = + 2 8 6. [10] A...

Info iconThis 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: ssengupta@jjay.cuny.edu Office Hours: T/W/Th – 8:30 AM – 9:00 AM 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: g G±g ² ³ G´g G G ³ ±g ² g G´g 2. [5] Factor completely: 2 − 5µ − 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. ¶·µ¸ = 2 µ + 1 2 µ − 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
4. [10] Find ° g ° G . Note, this is NOT a multiplication function. G±²³ = ² − 1; g±²³ = u² ; ℎ±²³ = ² − 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
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: polynomial. = + 2 8 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 1 log G 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. sec cos tan 10. [10] Prove the identity: 1 tan1 cot = 2 sec csc 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. = 1 3 1 1 4 1 3 2 = 8 3 4 2 1 1 1 1...
View Full Document

Page1 / 4

practice final for Math - polynomial. = + 2 8 6. [10] A...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online