Math Analysis 2nd Semester Final Review Topics
- Use arc length formula and given information to find the indicated quantity
- Given a radius, find revolutions per minute when traveling at a given speed
- Context involving arc length
- Evaluate a trig function when given the value of a reciprocal trig function
- Context involving angle of elevation/depression
- Find the value of an unique real number that satisfies given trig conditions
- Find the exact solution of a given trig equation
- Find an algebraic expression equivalent to a given trig expression
- Context involving bearing
- Use identities to find the value of a trig function
- Simplify a trigonometric expression
- Find all solutions in a given interval of a trig equation
- Find the exact of a trig expression
- Write the expression as the sine, cosine, or tangent of an angle (using identities/formulas)
- Use formulas to rewrite a trig expression in only sinx and cosx
- Find the exact value by using a half-angle identity
- State whether given measurements determine zero, one, or two triangles
- Given various information, solve for one or more triangles
- Context involving triangles
- Find the area of a triangle, given various information
- Decide whether a triangle can be formed with given side lengths and use Heron’s formula to find the area
- Context involving the angles of a parallelogram
- Find the component form and magnitude of an indicated vector
- Find the magnitude and direction of a vector
- Context involving vectors
- Find the dot product of vectors
- Find the angle between given vectors
- Graph a pair of parametric equaions
- Eliminate the parameter in two parametric equations
- Find the rectangular coordinates of a point with given polar coordinates
- Determine two pairs of polar coordinates for a given point (in rectangular coordinates)
- Determine which graph matches the given polar equation
- Given a polar equation, find an equivalent equation in rectangular coordinates
- Given rectangular equation, find an equivalent equation in polar coordinates
- For what values of θ do maximum values of r occur on a graph of a given polar equation
- Determine if a graph is symmetric about the x-axis, y-axis, or origin
- Find the vertex, focus, and directrix of a parabola (or other conic, not in standard form..)
- Contexts involving a conic section
- Find the vertices and foci of a conic section
- Find equations in standard form for conics that satisfies given conditions
- Find the eccentricity of an ellipse
50 multiple choice questions
Show work for all questions
100 points