1. which one of the following does not find the value of f '(3) for f(x) = 3x2 - 4x + 1? (4 points)

a f prime of 3 equals the limit as h approaches 0 of the quotient of the quantity 3 times the square of the quantity 3 plus h minus 4 times the quantity 3 plus h plus 1 minus the quantity 3 times 3 squared minus 4 times 3 plus 1, and h

b f prime of 3 equals the limit as h approaches 0 of the quotient of the quantity 3 times the square of the quantity 3 plus h minus 4 times the quantity 3 plus h plus 1 minus 3 times 3 squared plus 4 times 3 minus 1, and h

c f prime of 3 equals the limit as x approaches 3 of the quotient of 3 times x squared minus 4 times x plus 1 minus 16, and the quantity x minus 3

d all of these find the value for f '(3).

2. use your graphing calculator to find the value of f '(0) for f(x) = cos(x) - ex

3. find the equation of the line tangent to y = -3x2 + x - 5 at x = -1

Atrain leaves little? rock, arkansas, and travels north at 90 kilometers per hour. another train leaves at the same time and travels south at 80 kilometers per hour. how long will it take before they are 680 kilometers? apart?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?