CSC 161 Fall 2020 - Homework 7 (10 pts. total)
Assigned Tue Nov 3, due Tue Nov 10
Answer the following questions about the TI-84 calculator in full sentences in a single Microsoft Word file named hw7-LastName.doc (where LastName is replaced by
your last name):
[2 pts.] 1. Fifteen high school students complete a preparation program for taking the SAT test. Here are the SAT scores from the 15 students who completed the SAT prep program: 434 694 457 534 720 400 484 478 610 641 425 636 454 514 370. Use the TI-84 to conduct a ZTest to determine if it can be shown that μ > 500 with α = .05. Assume it is known that σ = 100. Explain what prints out on the TI-84 when ZTest is run.
[ 1 pt. ] 2. Calculate the Zinterval for the sample given in question 7 above. Still assume σ = 100.
[ 1 pt. ] 3a. Use the TI-84 to find f'(2) for f(x)=x3. Explain how to find your answer.
[ 1 pt. ] 3b. What is the point-slope form of the equation of the tangent line to f(x)=x3 at x = 2?
[ 1 pt. ] 3c. Use the TI-84 to find the intersection point of f(x) = x^3 and the line from #3b. Explain why this result makes sense mathematically.
[ 1 pt. ] 4. Use the TI-84 to find the definite integral of e-x2 on the interval [1,3]. Explain how you found your answer.
[3 pts.] 5. For the sequence an = 33-n:
a) Find the first 5 terms of the sequence on the TI-84 using 2nd->STAT->OPS->5: seq. Explain how to graph this sequence of 5 terms on the TI-84.
b) Find the first 5 partial sums for the series {an} on the TI-84 using 2nd->STAT->MATH->5: sum.
c) Graph these partial sums on the TI-84 & explain how you can use this graph to make a conjecture about whether the series may converge or not.
Last Modified: 10/27/20