Draw the image of \triangle ABC△ABCtriangle, A, B, C under the translation (x, y)\to(x -6,y -7)(x, y)→(x−6,y−7)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, minus, 6, comma, y, minus, 7, right parenthesis.

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Acircle has a circumference of 2 pi cm. which statement about the circumference and area is true? a comparison of the area and circumference is not possible since the area cannot be determined. the numerical values of the circumference and area of the circle are equal. the numerical value of the circumference is greater than the numerical value of the area. the numerical value of the circumference is less than the numerical value of the area.

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