Applies trigonometric identities to solve the equation

103. Solve the equation COS^2x +2SINx +1=0 for the domain 0

Parametric help

Please help with parametrics and eccentricity. (See attached file for full problem description) --- 1. Use a graphing utility to graph the equation. (this should be a no brainer but every time I do it I get a different graph) x^2-2xy+y^2+5x+5y=0 2. Which of the following is an equation of the hyperbola with vertices at (2, pie/2) and (-8, 3pie/2)? r= 16 3-5cos(theta) r= 16 3+5cos(theta) r= 16 3-5sin(theta) r= 16 3+5sin(theta) 3. Evaluate the set of parametric equations for the given value of the parameter: x= 2t, y=9t^2-8t, t=1 a. x=1, y=28 b. x=1, y=1 c. x=2, y=1 d. x=2, y=28 4. Graph the set... click for more

Problem Set

(See attached file for full problem description) --- 1. Test for symmetry with respect to theta = pie/2, the polar axis, and the pole. r = 1 3-2sin(theta) 2. The reflective surface of a parabolic antenna is formed when the parabola 1 y = ------ x^2 36 is rotated about its axis of symmetry. How many feet from vertex should a receiver be placed if it is to be at the focus? 3. Find the discriminate and classify the graph: 6x^2+13xy-7y^2-4=0 The discriminate is either 1 or 337 but I am not sure if it is a parabola or an ellipse. 4. A point in polar coordinates ... click for more

Right Triangle Trigonometry Application: Airplane Flight Path

An airplane flies at a heading of 130° for 30 minutes and then changes to a heading of 220° and flies for 2 more hours. If the average speed of the plane is 250 miles per hour and the wind is negligible, find: a. The distance of the plane from the starting point. b. The heading the plane would have taken to get directly to the final destination from the starting point.

Graphing

(See attached file for full problem description) --- 1. Graph the system x^2 + y^2≤16 y≤4-x^2 2. Graph the solution { y<1/4x Bracket covers both entries but I don't know how to make it bigger. y≥ -2x+3 3. Show the graph of the systems of inequalities? 16x^2+64y^2≥1024 x^2 + y^2≤36 4. Graph the solution set: y≤-x+1 y<3 5. Graph the inequality: y^2-4x^2≤4