MAT180-HY1 Calculus 1

Approximate the area under the curve y=x2y=x2 from x=0x=0 to x=2x=2 using a Right Endpoint approximation with 4 subdivisions.

   

Question 1. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=1x+1f(x)=1x+1 over the interval [1,3][1,3] using eight approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 2. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=f(x)=2x2−4x+62x2-4x+6 over the interval [0,2][0,2] using four approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 3. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=36−x2f(x)=36-x2 over the interval [−2,5][-2,5] using four approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 4. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Approximate the area under the curve f(x)=−0.2x2+24f(x)=-0.2x2+24 between x=1x=1 and x=5x=5 using 4 rectangles. (Feel free to use your calculator on a majority of the calculations.) Approximate the area under the curve f(x)=−0.2x2+24f(x)=-0.2x2+24 between x=1x=1 and x=5x=5 using 8 rectangles. Approximate the area under the curve f(x)=−0.2x2+24f(x)=-0.2x2+24 between x=1x=1 and x=5x=5 using 40 rectangles.

Question 5. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Approximate the area under the curve y=x2y=x2 from x=1x=1 to x=3x=3 using a Right Endpoint approximation with 4 subdivisions.

   

Question 6. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=1x+4f(x)=1x+4 over the interval [3,8][3,8] using eight approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 7. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=f(x)=3x2−6x+83x2-6x+8 over the interval [0,5][0,5] using eight approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 8. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=9−x2f(x)=9-x2 over the interval [−2,1][-2,1] using five approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 9. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Approximate the area under the curve f(x)=−0.3x2+24f(x)=-0.3x2+24 between x=1x=1 and x=5x=5 using 4 rectangles. (Feel free to use your calculator on a majority of the calculations.) Approximate the area under the curve f(x)=−0.3x2+24f(x)=-0.3x2+24 between x=1x=1 and x=5x=5 using 8 rectangles. Approximate the area under the curve f(x)=−0.3x2+24f(x)=-0.3x2+24 between x=1x=1 and x=5x=5 using 40 rectangles.

Question 10. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Approximate the area under the curve y=x3y=x3 from x=0x=0 to x=2x=2 using a Right Endpoint approximation with 4 subdivisions.

   

Question 11. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=1x+1f(x)=1x+1 over the interval [0,5][0,5] using five approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 12. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=f(x)=x2+6x+13x2+6x+13 over the interval [0,8][0,8] using ten approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 13. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Estimate the area under the graph of f(x)=25−x2f(x)=25-x2 over the interval [−5,1][-5,1] using eight approximating rectangles and right endpoints. Rn=Rn=  Repeat the approximation using left endpoints. Ln=Ln=  Report answers accurate to 4 places. Remember not to round too early in your calculations.

Question 14. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

Approximate the area under the curve f(x)=−0.2x2+25f(x)=-0.2x2+25 between x=1x=1 and x=7x=7 using 6 rectangles. (Feel free to use your calculator on a majority of the calculations.) Approximate the area under the curve f(x)=−0.2x2+25f(x)=-0.2x2+25 between x=1x=1 and x=7x=7 using 12 rectangles. Approximate the area under the curve f(x)=−0.2x2+25f(x)=-0.2x2+25 between x=1x=1 and x=7x=7 using 60 rectangles.

Question 15. Last Attempt:  0 out of 1 Score in Gradebook:   0 out of 1

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