1.

(a) Use maple to draw the solid region bounded by the surfaces z=2-(x^2)-(y^2) abd z-2x+2y=1

(b) Set up and display the integral used to determine the volume of the solid in part (a)

(c) Evaluate the integral using maple

2.

(a) Use maple to draw the solid region bounded by the surfaces x=y^2, y=x-2, z=0 and z=x

(b) Set up and display the integral of the function f(x,y,z)= exp(x^2) over the region drawn in part (a)

(c) Evaluate the integral using maple. (TIP: use the option "numeric" in your integral)

3. *SEE ATTACHMENT*

4.

For all of the following parts, consider the solid region bounded by the surface z= sqrt (36- x^2- y^2) and the xy-plane

(a) Use maple to draw the solid region

(b) Aither using maple or by hand, find the volume of the solid using cylindrical (or polar) coordinates

(c) Either using maple or hand, find the volume of the solid using spherical coordinates.

(d) By hand, find the volume of the solid using geometry

5.

Repeat problem4 for the solid region above the half-cone z= sqrt( x^2+ y^2) and below the plane z=6. (NOTE: this is a half-cone because the other half is below the xy-plane. It still goes all the way around, like an ice cream cone)

-PLEASE do this professionally and with using complete maple command- :)

Subject | Mathematics |

Due By (Pacific Time) | 04/07/2015 12:00 am |

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