Assumeis opposite sideis opposite sideandis opposite sideSolve 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.
Convertto 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:
Givenandevaluate each expression.
Plot the complex numberin the complex plane.
Eliminate the parameterto rewrite the following parametric equations as a Cartesian equation:
Parameterize (write a parametric equation for) the following Cartesian equation by usingand
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 vectorhas an initial pointand terminal pointwrite the vectorin terms ofandOn the graph, drawand