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- Write the equation below in its equivalent exponential form.
log5 25 = x
- Write the first four terms of the sequence whose general term is given below.
an = 4(3n – 1)
- Use the addition method to solve the system below.
4x + 27y = 27
8x – 3y = -3
- In the right triangle ABC below, C is the right angle, and two sides are given. Find
sin θ of the given angle.
- Find the reference angle for 5π/4
- Find the area of a triangle with these measurements: C = 100º, a = 1 yard, and b = 8 yards. Round your answer to the nearest square unit.
- Solve the right triangle in the figure below in which A = 51.9º and c = 51.2. Round lengths to one decimal place and express angles to the nearest tenth of a degree.
- Plot the complex number -3 + 6i.
- Write the expression below as the cosine of an angle, knowing that the expression is
the right side of the formula for cos(α - β) with particular values for α and β.
- Solve the equation below on the interval [0, 2π).
- Find the exact value of sin-1(-0.5)
- Find the rectangular coordinates of a point whose polar coordinates are (3, -270º).
- Complete the identity below.
- Using the vectors given below, find u•v
- If the sequence below is a geometric sequence, find the common ratio.
- Graph the solution set of the system of inequalities below.
- Find the maximum and minimum values of the given objective function of a linear programming problem. The figure below illustrates the graph of the feasible points.
- Use Gauss-Jordan elimination to solve the system below:
- Find the product of the matrices and
- Compute the determinant of
- Write an equation for the ellipse with vertices (2, 2), (4, 2), (3, -1), and (3, 5).
- Find the foci of the hyperbola
- What is the standard form equation of a parabola with directrix x = -2 and focus (2, 0)?
- Eliminate the parameter from the parametric equations and
- Determine what kind of conic is represented by the equation
- Estimate the following limit using a table.
- Use properties of limits to compute the following limit exactly.
- Use the limit definition to compute if .
