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8.2 Day 2: Identifying Indeterminate Forms

8.2 Day 2: Identifying Indeterminate Forms

8.2 Day 2: Identifying Indeterminate Forms Photo by Vickie Kelly, 2008 Greg Kelly, Hanford High School, Richland, Washington Brooklyn Bridge, New York City What makes an expression indeterminate? Consider: We can hold one part of the expression constant:

By sandra_john
(680 views)

Trapezoidal Rule

Trapezoidal Rule

Photo by Vickie Kelly, 1998. Greg Kelly, Hanford High School, Richland, Washington. Trapezoidal Rule. Mt. Shasta, California. Using integrals to find area works extremely well as long as we can find the antiderivative of the function.

By JasminFlorian
(351 views)

5.1 Estimating with Finite Sums

5.1 Estimating with Finite Sums

Photo by Vickie Kelly, 2002. Greg Kelly, Hanford High School, Richland, Washington. 5.1 Estimating with Finite Sums. Greenfield Village, Michigan. velocity. time. Consider an object moving at a constant rate of 3 ft/sec. Since rate . time = distance:.

By paul2
(142 views)

2.2 Limits Involving Infinity

2.2 Limits Involving Infinity

Photo by Vickie Kelly, 2006. Greg Kelly, Hanford High School, Richland, Washington. 2.2 Limits Involving Infinity. North Dakota Sunset. As the denominator gets larger, the value of the fraction gets smaller. There is a horizontal asymptote if:. or.

By Mercy
(295 views)

3.2 Differentiability

3.2 Differentiability

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 3.2 Differentiability. Arches National Park. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. Arches National Park.

By lilly
(197 views)

2.3 Continuity

2.3 Continuity

2.3 Continuity. Photo by Vickie Kelly, 2002. Greg Kelly, Hanford High School, Richland, Washington. Grand Canyon, Arizona. 2. 1. 1. 2. 3. 4.

By preston
(262 views)

5.5 Numerical Integration

5.5 Numerical Integration

Photo by Vickie Kelly, 1998. Greg Kelly, Hanford High School, Richland, Washington. 5.5 Numerical Integration. Mt. Shasta, California. Using integrals to find area works extremely well as long as we can find the antiderivative of the function.

By blythe
(159 views)

6.4 Exponential Growth and Decay

6.4 Exponential Growth and Decay

6.4 Exponential Growth and Decay. Glacier National Park, Montana Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington.

By toni
(180 views)

7.1 Integral as Net Change

7.1 Integral as Net Change

7.1 Integral as Net Change. Photo by Vickie Kelly, 2006. Greg Kelly, Hanford High School, Richland, Washington. A honey bee makes several trips from the hive to a flower garden. . The velocity graph is shown below. What is the total distance traveled by the bee?. 700 feet. 200ft. 200ft.

By khuyen
(111 views)

Greg Kelly, Hanford High School, Richland, Washington

Greg Kelly, Hanford High School, Richland, Washington

Photo by Vickie Kelly, 2006. Greg Kelly, Hanford High School, Richland, Washington. 7.3 day 3. The Shell Method. Grows to over 12 feet wide and lives 100 years. Japanese Spider Crab Georgia Aquarium, Atlanta.

By ryder
(123 views)

3.9: Derivatives of Exponential and Logarithmic Functions

3.9: Derivatives of Exponential and Logarithmic Functions

Photo by Vickie Kelly, 2007. Greg Kelly, Hanford High School, Richland, Washington. Mt. Rushmore, South Dakota. 3.9: Derivatives of Exponential and Logarithmic Functions. Look at the graph of . If we assume this to be true, then:. The slope at x=0 appears to be 1. definition of derivative.

By ellie
(147 views)

2.4 Rates of Change and Tangent Lines

2.4 Rates of Change and Tangent Lines

Photo by Vickie Kelly, 1993. Greg Kelly, Hanford High School, Richland, Washington. 2.4 Rates of Change and Tangent Lines. Devil’s Tower, Wyoming. The slope of a line is given by:. The slope at (1,1) can be approximated by the slope of the secant through (4,16).

By leia
(122 views)

10.2 day 1: Vectors in the Plane

10.2 day 1: Vectors in the Plane

10.2 day 1: Vectors in the Plane. Mesa Verde National Park, Colorado. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. Warning: Only some of this is review . Quantities that we measure that have magnitude but not direction are called scalars .

By camdyn
(124 views)

Golden Spike National Historic Site, Promontory, Utah

Golden Spike National Historic Site, Promontory, Utah

Photo by Vickie Kelly, 1999. Greg Kelly, Hanford High School, Richland, Washington. 7.4 Day 1 Lengths of Curves. Golden Spike National Historic Site, Promontory, Utah. Length of Curve (Cartesian). Lengths of Curves:.

By ban
(163 views)

5.5 Numerical Integration

5.5 Numerical Integration

Photo by Vickie Kelly, 1998. Greg Kelly, Hanford High School, Richland, Washington. 5.5 Numerical Integration. Mt. Shasta, California. Using integrals to find area works extremely well as long as we can find the antiderivative of the function.

By maina
(143 views)

9.2 day 2

9.2 day 2

9.2 day 2. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. Finding Common Maclaurin Series. Liberty Bell, Philadelphia, PA. Maclaurin Series:. (generated by f at ).

By lorant
(105 views)

10.1 Parametric functions

10.1 Parametric functions

Photo by Vickie Kelly, 2008. Greg Kelly, Hanford High School, Richland, Washington. 10.1 Parametric functions. Mark Twain’s Boyhood Home Hannibal, Missouri. Photo by Vickie Kelly, 2008. Greg Kelly, Hanford High School, Richland, Washington. Mark Twain’s Home Hartford, Connecticut.

By terena
(81 views)

8.2 Day 2: Identifying Indeterminate Forms

8.2 Day 2: Identifying Indeterminate Forms

8.2 Day 2: Identifying Indeterminate Forms. Photo by Vickie Kelly, 2008. Greg Kelly, Hanford High School, Richland, Washington. Brooklyn Bridge, New York City. What makes an expression indeterminate?. Consider:. We can hold one part of the expression constant:.

By ramya
(103 views)

4.4 Modeling and Optimization

4.4 Modeling and Optimization

Photo by Vickie Kelly, 1999. Greg Kelly, Hanford High School, Richland, Washington. 4.4 Modeling and Optimization. Buffalo Bill’s Ranch, North Platte, Nebraska. There must be a local maximum here, since the endpoints are minimums. A Classic Problem.

By Anita
(137 views)

8.4 day 2 Tests for Convergence

8.4 day 2 Tests for Convergence

8.4 day 2 Tests for Convergence. Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2006. Riverfront Park, Spokane, WA. If then gets bigger and bigger as , therefore the integral diverges .

By carrie
(85 views)

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