Calculus II Test #1 |

**A/ Evaluate the following integrals**

( *solutions* )

1) | 2) | 3) |

4) | 5) | 6) |

(24)

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**B/ Draw a diagram for and solve each of the following**

1) Find the area of the region bounded by *y* = *x*^{ 2}** ** and ** y = 2 – x^{ 2}**.

2) Find the area of the region bounded by the graphs of ** x = 2y** ,

3) Find the area of the region bounded by ** x = y^{ 2} – 1** and

(12)

**C/ Draw a diagram for questions 1 and 2 and solve**

1) Use **Disk Method** to evaluate the volume of the solid obtained by

revolving the region bounded by *y* = *x*** ^{ 2} **and

a) the -axisx |
b) the -axisy |

(7)

2) Use **Shell Method** to find the volume of the solid obtained by

revolving the region between ** x = y^{ 2} **,

(3)

3) Find ** z** if

for Definite Integrals if

(4)

TOTAL = 50

(* Calculus II MathRoom Index *)