# Sequences & Series Questions and Answers

Algebra

Sequences & Series Solutions

The domain of a one-to-one function f is [7,00), and its range is [-3,00). State the domain and the range of f1
What is the domain of f¹?
The domain off is
(Type your answer in interval notation.)

Algebra

Sequences & Series Solutions

The discussion question has 6 parts and all parts will
count toward your overall score for this discussion.
You may copy and then paste the question in the post.
Then enter your answers at the end of each question.
1. Explain why the ordered pairs (2,7) and (7,2) do not
represent the same point of a graph.
2. The equation x + y = 10 has how many ordered-pair
solutions?
3. Is the point (-2, 5) a solution to the equation 2x + 5y = 0?
Why or why not?
4. The equation y = b is referred to in general, what kind of
line?
5. Can you find the slope of the line passing through (5, -12)
and (5, -6)? Why or why not?
6. Find the equation of the line that fits the description:
passes through (7,-5) and has zero slope.

Algebra

Sequences & Series Solutions

Let W be a subspace of R4 spanned by the set Q = {(1,-1,3,1), (1, 1,-1, 2), (1, 1, 0, 1)}. (i) Show that Q is a basis of W. (ii) Does the vector u = (-4, 0, -7, -3) belong to space W? If that is the

Algebra

Sequences & Series Solutions

Let W be a subspace of R4 spanned by the set Q = {(1,-1, 3, 1), (1, 1,-1,2), (1, 1, 0, 1)}. (i) Show that Q is a basis of W. (ii) Does the vector u = (-4, 0, -7, -3) belong to space W? If that is the

Algebra

Sequences & Series Solutions

Determine which of the following sets of vectors are linearly independent in R³. ((-4, 1, 3), (-2,-1, 1), (4, 5, 2)) ((1, 2, 2), (0, -1, 4), (-3, -6, -6)} ((7.2.-1), (3, 0, 5), (0, 4, 4). (-5, 1, 6))

Algebra

Sequences & Series Solutions

Find an equation for the ellipse. Graph the equation. foci at (-2.8) and (-2,-2); length of major axis is 20

Algebra

Sequences & Series Solutions

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 6; - i; -8+ i Let a represent the leading coefficient. The polynomial is f(x)

Algebra

Sequences & Series Solutions

Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are - 11 and -2.

Algebra

Sequences & Series Solutions

Determine the amplitude of the function y=- sin x. Graph the function and y = sin x. The amplitude is

Algebra

Sequences & Series Solutions

At the city museum, child admission is $6.00 and adult admission is $9.50. On Sunday, four times as many adult tickets as child tickets were sold, for a total sales of $1628.00. How many child tickets

Algebra

Sequences & Series Solutions

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that