Unformatted text preview: Math 1190 Practice Quiz (Section 2.1) The point P(1,3‘i’ 3) lies on the curve y .mZe‘x -r 3 .
e 1. If Q is the point (x,2e' H“ 3), use your calculator to ﬁnd the slope of the secant line PQ (correct to six decimal places) for each of the following values of x.
Hint: Start with a sketch of the graph of the function. Place the point Q to the right of point P.
Write an equation for the slope of the secant line (average rate of change). a. 0.5 f. 1.5
b. 0.9 g. 1.1
c. 0.99 h. 1.01
d. 0.999 i. 1.001
e. 0.9999 j. 1.0001 2. Using the results of part (1), guess the value of the slope of the tangent line (instantaneous rate of change) to the curve at P(1,—2- 1'3) . Round the slope to three decimal places. 6 3. Using the slope from part (2), ﬁnd an equation of the tangent line to the curve at P(I,E+3) .
2 Use three decimal places for coefﬁcients. PDF created with pdfFactory trial version www.9dffactoycom ...
View Full Document
- Spring '08