1.6
Find the area between the curves f left parenthesis x right parenthesis equals 1 minus 2 x
and g left parenthesis x right parenthesis equals negative x minus 1
over the interval open square brackets negative 4 comma space minus 1 close square brackets
.
1.7
If R
denotes a region bounded above by the graph of a continuous function f left parenthesis x right parenthesis
, below by the x-axis, and on the left and right by the lines x equals a
and x equals b
, respectively, then which of the following integrals gives the mass of the lamina with density rho
?
Top of Form
1.
m equals rho integral subscript a superscript b open square brackets f left parenthesis x right parenthesis close square brackets squared over 2 space d x
2.
m equals rho integral subscript a superscript b x f left parenthesis x right parenthesis space d x
3.
m equals rho integral subscript a superscript b f left parenthesis x right parenthesis space d x