Math120 Exam 2 PDF
Document Details
Tags
Summary
This document contains a mathematics exam for an undergraduate-level course called Math120. The exam encompasses questions on topics such as radioactive material disintegrations, present value calculations, evaluating expressions, and solving equations, all within a calculus context. The document includes clear instructions and problem statements.
Full Transcript
Math120 (Elementary Calculus-I), Exam 2 Maximum points: 100 Show all work – No calculators – Good luck Use ONE answer sheet per question (Use back of sheet, if needed) Answer q...
Math120 (Elementary Calculus-I), Exam 2 Maximum points: 100 Show all work – No calculators – Good luck Use ONE answer sheet per question (Use back of sheet, if needed) Answer question no.1 on sheet 1, question no. 2 on sheet 2 and so on Please write your name, TA name, Section number and question number on each answer sheet. Please copy and sign the Honor Pledge on answer sheet #1 Q1A sample of radioactive material disintegrates 5 grams to 2 grams in 100 days. (a) What is the half life of the radioactive material? (b) How much will remain after 60 days? (Clearly write down the units for both the parts) Q2 (a) If the present value of $16,000 to be received in 5 years is $10,000, what rate of interest , compounded continuously, was used to compute this present value? (b) How long is required for initial investment to triple? (Write down the units for part (b)) !# (c) Find the second derivative of 𝑒 !" Q3 Evaluate ' $ % $" # ()" (a) " + 𝑙𝑛(5𝑥 + 3)+ (b) ,𝑒 " - $" √" $" " $ 𝑥2 + 𝑒4 Q4 Evaluate $" 𝑙𝑛. 7𝑥 − 1 / $" (b) Compute $" " ,𝑙𝑛(𝑥 * + 2)- Q 5 (a) Solve the given equation for x ( ) ln x 2 - ln ( 2 x ) = -1 æ e x ö÷ 2 x -3ln(2) (b) Write the expression ç ( )( ç e7 x ÷ e e ) in form of Ae kx , where A and k are constants è ø
