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Found 178 results for integral calculus

solution math integral calculus28 1

Solution: Find the area bounded by the parabolas y=6x–x^2 and y=x^2–2x.

Problem Statement: EE Board April 1997 Find the area bounded by the parabolas y = 6x – x^2 and y = x^2 – 2x. Note. The parabolas intersect at points (0, 0) and (4, 8). A. 44/3 sq. units B. 64/3 sq. units C. 74/3 sq. units D. 54/3 sq. units Problem Answer: The area of the region bounded by the parabolas is 64/3 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online

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solution math integral calculus29 1

Solution: Find the area bounded by the parabola x^2=4y and y=4.

Problem Statement: ME Board April 1999 Find the area bounded by the parabola x^2 = 4y and y = 4. A. 21.33 sq. units B. 33.21 sq. units C. 31.32 sq. units D. 13.23 sq. units Problem Answer: The area of the region bounded by the line and parabola is 21.33 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential

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solution math integral calculus30 1

Solution: Find the area bounded by the line x–2y+10=0, the x-axis, the y-axis and x=10.

Problem Statement: EE Board October 1997 Find the area bounded by the line x – 2y + 10 = 0, the x-axis, the y-axis and x = 10. A. 75 sq. units B. 50 sq. units C. 100 sq. units D. 25 sq. units Problem Answer: The area of the region bounded by the line, the x-axis and the y-axis is 75 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and

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solution math integral calculus31 1

Solution: What is the area bounded by the curve y^2=4x and x^2=4y?

Problem Statement: CE Board May 1996 What is the area (in square units) bounded by the curve y^2 = 4x and x^2 = 4y? A. 5.33 sq. units B. 6.67 sq. units C. 7.33 sq. units D. 8.67 sq. units Problem Answer: The area of the region bounded by the parabolas is 5.33 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ

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solution math integral calculus32 1

Solution: Find the area enclosed by the curve x^2+8y+16=0, the x-axis, the y-axis and the line

Problem Statement: CE Board May 1997 Find the area enclosed by the curve x^2 + 8y + 16 = 0, the x-axis, the y-axis and the line x – 4 = 0. A. 7.67 sq. units B. 8.67 sq. units C. 9.67 sq. units D. 10.67 sq. units Problem Answer: The area of the region bounded by the parabola, the x-axis, the y-axis, and the line is 10.67 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus

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solution math integral calculus33 2

Solution: What is the area bounded by the curve y = x^3, the x-axis, and the lines

Problem Statement: ME Board October 1997 What is the area bounded by the curve y = x^3, the x-axis, and the line x = -2 and x = 1? A. 4.25 sq. units B. 2.45 sq. units C. 5.24 sq. units D. 5.42 sq. units Problem Answer: The area of the region bounded by the lines, the x-axis, and curve is 4.25 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and

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solution math integral calculus34 2

Solution: Find the area in the first quadrant bounded by the parabola y^2=4x, x=1, and x=3.

Problem Statement: ME Board April 1999 Find the area in the first quadrant bounded by the parabola y^2 = 4x, x = 1, and x = 3. A. 9.555 sq. units B. 9.955 sq. units C. 5.955 sq. units D. 5.595 sq. units Problem Answer: The area in the first quadrant bounded by the parabola and lines is 5.595 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential

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solution math integral calculus35 2

Solution: Find the area bounded by the parabolas x^2 – 2y = 0 and x^2 + 2y – 8 = 0.

Problem Statement: ECE Board April 1998 Find the area (in sq. units) bounded by the parabolas x^2 – 2y = 0 and x^2 + 2y – 8 = 0. A. 11.77 sq. units B. 4.7 sq. units C. 9.7 sq. units D. 10.7 sq. units Problem Answer: The area of the region bounded by the parabolas is 10.7 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus

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solution math integral calculus36 2

Solution: What is the area between y=0, y=3x^2, x=0, and x=2?

Problem Statement: ME Board April 1998 What is the area between y = 0, y = 3x^2, x = 0, and x = 2? A. 8 sq. units B. 24 sq. units C. 12 sq. units D. 6 sq. units Problem Answer: The area of the region between by the lines and curve is 8 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME

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solution math integral calculus37 2

Solution: What is the area bounded by the curve y^2 = x and the line x – 4 = 0?

Problem Statement: CE Board May 1995 What is the area bounded by the curve y^2 = x and the line x – 4 = 0? A. 11 sq. units B. 31/3 sq. units C. 10 sq. units D. 32/3 sq. units Problem Answer: The area of the region between by the line and curve is 32/3 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA &

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solution math integral calculus38 2

Solution: Find the area of the curve r^2 = a^2 cos 2θ.

Problem Statement: CE Board November 1996, CE Board November 1998 Find the area of the curve r^2 = a^2 cos 2θ. A. a sq. units B. 22 sq. units C. a^2 sq. units D. a^3 sq. units Problem Answer: The area of the curve is a^2 sq. units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS & DERIVATIVES) Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES) MCQ in Differential Calculus (MAXIMA-MINIMA & TIME RATES)

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solution math integral calculus39 2

Solution: Locate the centroid of the plane area bounded by y = x^2 and y = x.

Problem Statement: Locate the centroid of the plane area bounded by y = x^2 and y = x. A. 0.4 from the x-axis and 0.5 from the y-axis B. 0.5 from the x-axis and 0.4 from the y-axis C. 0.5 from the x-axis and 0.5 from the y-axis D. 0.4 from the x-axis and 0.4 from the y-axis Problem Answer: The coordinates of the center is at (0.5, 0.4). More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in Differential Calculus (LIMITS & DERIVATIVES) MCQ in Differential Calculus (LIMITS

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