calculus

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cal16-17.docx

1.6

Find the area between the curves f left parenthesis x right parenthesis equals 1 minus 2 xand g left parenthesis x right parenthesis equals negative x minus 1over the interval open square brackets negative 4 comma space minus 1 close square brackets.

1.7

If Rdenotes 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 aand 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