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What is a discontinuity? How are discontinuities found? Which types of graphs are continuous?
Find the magnitude and direction of the force applied by the upper arm bone to the forearm at the elbow joint.
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. A=23 degree B=21 degree a = 42.8
Using the same formula as above calculate the velocity if the sound wave traveled 80 cm in 22 ms. Please report the velocity on the following units; m/s
Calculate the energy of the can at the top and bottom of the slope and the form it takes.
Describe the transformations required to obtain the graph of the given function from a basic trigonometric graph.
Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate.
A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it first base to dead center field.
Solve, finding all solutions in [0, 2p) and [0, 360°). Express solutions in both radians and degrees. tan ? = 1 / v3
Radio and TV stations broadcast from high towers. Their signals are picked up by radios and TVs in homes within a certain radius.
Trigonometry has many applications in the real world. One particular area in which it can be used is in architecture.
The engine of a sport car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second.
A contractor is building a wheelchair accessibility ramp (see figure) for a business. Using your knowledge of right-triangle trigonometry.
The pilot of a helicopter at an altitude of 1 50m spots a horizontal bridge straight ahead. The bridge lies parallel to the course of the helicopter.
Prove the identity: cos3? ? 4cos^3?- 3cos?. Prove the identity: cos3? - cos7? ÷ sin7? + sin3? ? tan2?.
A chain hangs in a shape called a catenary, the equation of which is f(x) = a cosh (x / a).Determine the value of x when f(x) = 48 and a = 35.
Solve the following, giving all positive values of the angle between 0° and 360° to the nearest minute only.
What would you use the Pythagorean Theorem for? List one example either from work or personal life or any other application.
There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof.
The model for the height of a tidal wave for a 24 hour period is given by H(t) = 1.25 + 0.85 cos 0.498(t - 1) where H(t) is the height of the tide.
A mass is supported by a spring so that it is at rest 0.5 m above a tabletop. The mass is pulled down 0.4 m and released at time t = 0.
To determine the distance to an oil platform in the Pacific Ocean from both ends of a beach, a surveyor measurers the angle to the platform.
An isosceles triangle in which each of the equal sides is 14.72 in. and the vertex angle 47° 28' .
Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32° 28' 30"
Find at least five more in addition to 3, 4 , 5 12, and 13, and show why your 5 sets of Pythagorean Triples work in the Pythagorean Theorem formula.