For each slope below, enter the value current to four decimal places. Let f(x) =

Question

For each slope below, enter the value current to four decimal places. Let f(x) = 3In (x). Using the formula, m = f(x2) - f(x1)/x2 - x1, find the slope of the secant line on the graph of f(x) that connects the x1 = 3. andx2 = 8: m = x25: m = x2 = 4: m: x2 = 3.1: m = x2 = 3.01: m = Box1:Enter your answer as a number (like 5, - 32.2) or as a calculation (like 5/3, 2^3,5 + 4) Enter DNE for Does Not Exit, oo for Infinity Box 2: Enter your answer as a number (like 5, - 32.2) or as a calculation (like 5/3, 2^3,5 + 4) Enter DNE for Does Not Exit, oo for Infinity Box 3: Enter your answer as a number (like 5, - 32.2) or as a calculation (like 5/3, 2^3,5 + 4) Enter DNE for Does Not Exit, oo for Infinity Box 4: Enter your answer as a number (like 5, - 32.2) or as a calculation (like 5/3, 2^3,5 + 4) Enter DNE for Does Not Exit, oo for Infinity Box 5 Enter your answer as a number (like 5, - 32.2) or as a calculation (like 5/3, 2^3,5 + 4) Enter DNE for Does Not Exit, oo for Infinity

Explanation / Answer

x1 =3

x2 = 8

m = f(x2) - f(x1) / (x2-x1) = 3 * ( ln 8 - ln 3) / (8-3) = 3/5 *( ln8 - ln 3)

= 0.58849755180702

x1 =3

x2 = 5

m = f(x2) - f(x1) / (x2-x1) = 3 * ( ln 5 - ln 3) / (5-3) = 3/2 *( ln5 - ln 3)

= 0.766238435649

x1 =3

x2 = 4

m = f(x2) - f(x1) / (x2-x1) = 3 * ( ln 4 - ln 3) / (4-3) = 3 *( ln4 - ln 3)

= 0.8630462173554

x2 = 3.1

x1 =3

x2 = 3.1

m = f(x2) - f(x1) / (x2-x1) = 3 * ( ln (3.1) - ln 3) / (4-3) = 3 *( ln (3.1)- ln 3)

=0.098369468469

x1 =3

x2 = 3.01

m = f(x2) - f(x1) / (x2-x1) = 3 * ( ln (3.10) - ln 3) / (4-3) = 3 *( ln (3.01)- ln 3)

=0.0099833702781

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