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Found 178 results for integral calculus

solution math integral calculus40 2

Solution: Find the coordinates of the centroid of the plane area bounded by the parabola and x-axis

Problem Statement: Find the coordinates of the centroid of the plane area bounded by the parabola y = 4 – x^2 and the x-axis. A. (0, 1) B. (0, 1.6) C. (0, 2) D. (1, 0) Problem Answer: The coordinates of the center of the plane area bounded by the parabola and x-axis is at (0, 1.6). 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 calculus41 2

Solution: Locate the centroid of the plane area bounded by the parabola, the line and the x-axis

Problem Statement: Locate the centroid of the plane area bounded by the equation y^2 = 4x, x = 1 and the x-axis on the first quadrant. A. (3/4, 3/5) B. (3/5, 3/4) C. (2/3, 3/5) D. (3/5, 2/3) Problem Answer: The coordinates of the center of the plane area bounded by the parabola, the line and the x-axis of the first quadrant is at (3/5, 3/4). 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 & DERIVATIVES) Online

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solution math integral calculus42 2

Solution: Find the length of the arc of the parabola x^2 = 4y from x = -2 to x = 2.

Problem Statement: Find the length of the arc of the parabola x^2 = 4y from x = -2 to x = 2. A. 4.2 units B. 4.6 units C. 4.9 units D. 5.2 units Problem Answer: The length of the arc of the parabola is 4.6 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 calculus43 2

Solution: Find the surface area generated by rotating the parabola arc about the x-axis

Problem Statement: Find the surface area (in square units) generated by rotating the parabola arc y = x^2 about the x-axis from x = 0 to x = 1. A. 5.33 B. 4.98 C. 5.73 D. 4.73 Problem Answer: The surface area generated by rotating the parabola arc about the x-axis 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 calculus44 2

Solution: What is the volume generated by the ellipse revolved about the line?

Problem Statement: CE Board May 1997 The area enclosed by the ellipse (x^2 / 9) + (y^2 / 4) = 1 is revolved about the line x = 3. What is the volume generated? A. 355.3 cubic units B. 360.1 cubic units C. 370.3 cubic units D. 365.1 cubic units Problem Answer: The volume generated by the ellipse that revolved about the line is 355.3 cubic 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)

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solution math integral calculus45 2

Solution: What is the volume generated by the circle revolved about the line?

Problem Statement: CE Board May 1996 The area in the second quadrant of the circle x^2 + y^2 = 36 is revolved about line y + 10 = 0. What is the volume generated? A. 2218.33 cubic units B. 2228.83 cubic units C. 2233.43 cubic units D. 2208.53 cubic units Problem Answer: The volume generated by the circle that revolved about the line is 2228.83 cubic 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)

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solution math integral calculus46 2

Solution: What is the volume generated by the curve revolved about the line?

Problem Statement: CE Board November 1995 The area bounded by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is the volume generated? A. 179 cubic units B. 181 cubic units C. 183 cubic units D. 185 cubic units Problem Answer: The volume generated by the curve that revolved about the line is 181 cubic 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)

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solution math integral calculus47 2

Solution: What is the volume generated when the area is revolved

Problem Statement: CE Board November 1994 Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. What is the volume generated when the area is revolved about the line y – 2 = 0? A. 28.41 cubic units B. 27.32 cubic units C. 25.83 cubic units D. 26.81 cubic units Problem Answer: The volume generated by the parabola that revolved about the line is 26.81 cubic units. More Questions in: Integral Calculus Online Questions and Answers in Integral Calculus MCQ in Integral Calculus Online Questions and Answers in

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solution math integral calculus48 2

Solution: Find the volume generated by rotating a circle

Problem Statement: Find the volume (in cubic units) generated by rotating a circle x^2 + y^2 + 6x + 4y + 12 = 0 about the y-axis. A. 39.48 cubic units B. 47.23 cubic units C. 59.22 cubic units D. 62.11 cubic units Problem Answer: The volume generated by the circle that revolved about the y-axis is 59.22 cubic 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 calculus49

Solution: What is the volume generated by revolving this area

Problem Statement: CE Board May 1995 Given the area in the first quadrant by x^2 = 8y, the line x = 4 and the x-axis. What is the volume generated by revolving this area about the y-axis? A. 53.26 cubic units B. 52.26 cubic units C. 51.26 cubic units D. 50.26 cubic units Problem Answer: The volume generated by the curve that revolved about the y-axis is 50.265 cubic 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 calculus50 1

Solution: Find the moment of inertia with respect to x-axis

Problem Statement: CE Board November 1995 Find the moment of inertia with respect to x-axis of the area bounded by the parabola y^2 = 4x and the line x = 1. A. 2.03 B. 2.13 C. 2.33 D. 2.53 Problem Answer: The moment of inertia with respect to x-axis is 2.13. 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

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solution math integral calculus02 2

Solution: Find the length of the arc of f(x) = x^(3/2)+2 on [1,4]

Problem Statement: Find the length of the arc of f(x) = x^(3/2)+2 on . Problem Answer: The length of the arc of f(x) = x^(3/2) + 2 on is 7.63 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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