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1-54.

On graph paper, sketch the function . Shade the area under the curve for 3 ≤ x ≤ 6. 1-54 HW eTool (Desmos). Homework Help ✎

  1. Use geometry to calculate this area. Hint: Draw in a radius to create two easier regions whose difference is the shaded region.

    You should recognize g as the equation of a semicircle, centered at the origin, with radius 6.

    View the eTool. The height of the triangle is 5 and the hypotenuse is 6. Use these lengths to calculate the measure of the central angle.

  2. Calculate the area under the curve for 0 ≤ x ≤ 3.

  3. Calculate the area under the curve for –3 ≤ x ≤ 6.

Use the eTool below for parts (a) - (c).
Click the link at right for the full version of the eTool: Calc 1-54 HW eTool