Assume is opposite side is opposite side and is opposite side Solve the triangle, if possible, and round each answer to the nearest tenth, given
Find the area of the triangle in Figure 1. Round each answer to the nearest tenth.
A pilot flies in a straight path for 2 hours. He then makes a course correction, heading 15° to the right of his original course, and flies 1 hour in the new direction. If he maintains a constant speed of 575 miles per hour, how far is he from his starting position?
Convert to polar coordinates, and then plot the point.
Convert to rectangular coordinates.
Convert the polar equation to a Cartesian equation:
Convert to rectangular form and graph:
Test the equation for symmetry:
Find the absolute value of the complex number
Write the complex number in polar form:
Convert the complex number from polar to rectangular form:
Given and evaluate each expression.
Plot the complex number in the complex plane.
Eliminate the parameter to rewrite the following parametric equations as a Cartesian equation:
Parameterize (write a parametric equation for) the following Cartesian equation by using and
Graph the set of parametric equations and find the Cartesian equation:
A ball is launched with an initial velocity of 95 feet per second at an angle of 52° to the horizontal. The ball is released at a height of 3.5 feet above the ground.
- Find the parametric equations to model the path of the ball.
- Where is the ball after 2 seconds?
- How long is the ball in the air?
For the following exercises, use the vectors u = i − 3j and v = 2i + 3j.
Find 2u − 3v.
Find a unit vector in the same direction as
Given vector has an initial point and terminal point write the vector in terms of and On the graph, draw and