Trigonometry Homework #9 due 5-4

Graph the following functions.

1.

2.

3.

4.

5.

Calculus Homework #9 Due 5-4

Evaluate each limit.

1.

2.

3.

4.

Calculus Exam 2 Review

Velamur Quiz 7

Velamur Quiz 8 *Note: Inflection points are not on Exam 2.

Velamur Quiz 9 *Note: Inflection points are not on Exam 2.

Trigonometry Classwork 4-24

Consider the unit circle…

Recall that each central angle measure corresponds to a terminal point, expressed as x- and y-coordinates. For example, the terminal point of 270° is (0,-1). Define a function that models this relationship and graph it in degrees. Then graph it in radians.

After you’ve drawn your graphs, check out the applets here. Are any of them demonstrating the function that you just graphed? What’s the name of that function?

Trigonometry Homework #8 due 4-27

1. The area of a circle is . Find the area of a sector of this circle that subtends a central angle of radians.

2. The area of a sector of a circle with a central angle of 2 radians is . Find the radius of the circle.

3.

Will & the Wheel from InkyMind on Vimeo.

How fast is the wheel turning? How fast is Will running?

Trigonometry Test Review Solutions

1.
a.

b.

c. -1

d. -2

e. -1

2. 45

3.

4. unknown angle is 43 degrees, unknown sides are 18 feet and 13 feet

5. 39

6. The fire is 182.3 miles from station A and 128.7 miles from station B.

more triangle trigonometry questions

1. Calculate the area of a regular octagon inscribed in a unit circle.
2. In quadrilateral ABCD, AB=3, BC=4, CD=5, and DA=6. The length of diagonal BD is 7. Calculate the length of the other diagonal.
3. From the top of an observation post that is 90 meters high, a ranger sights a campsite at an angle of depression of 10°. Turning in a different direction, the ranger sees another campsite at an angle of depression of 13°. The angle between these two sight lines is 35°. How far apart are the campsites?

Grading Methods

Students often have questions about grades. Here is a short and well-written explanation of different grading methods. I use different methods for different classes, depending on what seems right for that class.

Trigonometry Test Review

trig test 1

Calculus Homework #8 Due 4-20

1. A spherical snowball is melting. Its radius is decreasing at 0.2 cm per hour when the radius is 15 cm. How fast is its volume decreasing at that time?

2. A  potter forms a piece of clay into a cylinder. As he rolls it, the length, , of the cylinder increases and the radius, , decreases. If the length of the cylinder is increasing at 0.1 cm per second, find the rate at which the radius is changing when the radius is 1 cm and the length is 5 cm.

3. A certain quantity of gas occupies a volume of 20cc at a pressure of 1 atmosphere. The gas expands without the addition of heat, so, for some constant , its pressure, , and volume, , satisfy the equation . (a) Find the rate of change of pressure with respect to volume. (b) The volume is increasing at 2cc/min when the volume is 30cc. At that moment, is the pressure increasing or decreasing? How fast?

4. (a) A hemispherical bowl of radius 10cm contains water to a depth of cm. Find the radius of the surface of the water as a function of . (b) The water level drops at a rate of 0.1 cm per hour. At the what rate is the radius of the water decreasing when the depth is 5 cm?