'Region bounded' presentation slideshows

Integration

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Multiple Integrals

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Section 5.3 - Volumes by Slicing

Section 5.3 - Volumes by Slicing. 7.3. I can use the definite integral to compute the volume of certain solids. Day 2:. 1. 02111a-d Let f be the function defined by Write an equation of the line normal to the graph of f at x = 1.

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Multiple Integrals

Multiple Integrals. Ex. Ex. The bounds of the integral represent a region in the xy -plane, and the function represents a height ? So the integral represents the volume under the function f ( x , y ) that lies above the region R in the xy -plane. ? General double integral.

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Iterated Integrals and Area in the Plane

Iterated Integrals and Area in the Plane. By Dr. Julia Arnold Courtesy of a CDPD grant. Objectives of this section: Evaluate an Iterated Integral Use an iterated integral to find the area of a plane region. Objective 1. Evaluate an Iterated Integral. Definition of an Iterated Integral

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Section 8.2 - Volumes by Slicing

Section 8.2 - Volumes by Slicing. 7.3. Solids of Revolution. Find the volume of the solid generated by revolving the regions. bounded by. about the x-axis. Find the volume of the solid generated by revolving the regions. bounded by. about the x-axis.

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Lesson 6-2c

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INTEGRAL OF CALCULUS

INTEGRAL OF CALCULUS. Volume of a solid of a revolution (Intro). Nikenasih B, M.Si Mathematics Educational Department Faculty of Mathematics and Natural Science State University of Yogyakarta. Contents. Problem and Aim Solution : A-R-L Method The Steps of Solution Examples Exercises.

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2000 AP Calculus AB Free Response Question

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Area and the Fundamental Theorem of Calculus

Area and the Fundamental Theorem of Calculus. 1. Sketch the region whose area is represented by the definite integral. Then use a geometric formula to evaluate the integral. (Similar to p.348 #1-6).

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Applications of the Integral

Applications of the Integral. Areas. Example (1) Find the area A of the region bounded by: y=x 2 + 1, y=x , x=0 & x=1. Example (2) Find the area A of the region bounded by: y=x 2 , y=2x-x 2. Intersections of the Two Curves.

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7.1

7.1. Area between curves. Gateway Arch, St. Louis, Missouri. We could split the area into several sections, use subtraction and figure it out, but there is an easier way. How can we find the area between these two curves?. Consider a very thin vertical strip. The length of the strip is:. or.

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Section 11-6

Section 11-6. Arc Lengths and Areas of Sectors. Arc Length. Part of the Circumference of a circle. To find the length of an arc: Find the Circumference of the Circle Find the ratio of the measure of the arc to the whole circle. Find the product of the ratio and Circumference. Circle O.

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Arc Lengths and areas of sectors

Arc Lengths and areas of sectors. 11-6. Sector of a circle. A sector of a circle is a region bounded by two radii and an arc of the circle. Sector of a circle. Length of arc. If X = measure in degrees of arc BDC, then length of arc BDC =. Length of arc. 1.8. Area of sector.

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Section 11-5

Section 11-5. Areas of Circles and Sectors. Area of a Circle. The area of a circle is times the square of the radius. Formula:. A. B. O. C. Sector of a circle. A region bounded by two radii of the circle and their intercepted arc. Sector AOB. *The unshaded region is also a sector!.

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Section 17.4

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Areas of Circles and Sectors

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How to find A for solids of revolution : if cross-section is a disk

Volume of solids by circular cylinders:. How to find A for solids of revolution : if cross-section is a disk if cross-section is a washer. Not solids of revolution:. Volume of solids by cylindrical shells:. Region bounded by y=f(x) ?0, y=0, x=a, x=b . Rotation about y -axis.

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CS 141 FIND THE CENTROID / TUTORIALOUTLETDOTCOM

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CS 141 Find the centroid of the regionExperience Tradition/tutorialoutledotcom

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