Precalculus 6th. Edition by Robert Blitzer | 9780134469140 | 0134469143 | Holooly

Precalculus

582 SOLVED PROBLEMS

Question: P.6.2

Simplifying Rational Expressions Simplify: a. x³ + x²/x + 1 b. x² + 6x + 5/x² – 25. ...

Verified Answer:

a.

\frac{x^3+x^2}{x+1}=\frac{x^2(x+1)}{x+1}...

Question: 4.2.8

Evaluating Trigonometric Functions with a Calculator Use a calculator to find the value to four decimal places: a. cos π/4 b. cot 1.2. ...

Verified Answer:

Scientific Calculator Solution

\begin{matri...

Question: 1.3.8

Evaluating and Simplifying a Difference Quotient If f(x) = 2x² – x + 3, find and simplify each expression: a. f(x + h) b. f(x + h) – f(x)/h, h ≠ 0. ...

Verified Answer:

a. We find f(x + h) by replacing x with x + h each...

Question: 8.4.5

Using the Inverse of a Matrix to Solve a System Solve the system by using A^-1, the inverse of the coefficient matrix: {x – y + z = 2 -2y + z = 2 -2x -3y = 1/2. ...

Verified Answer:

The linear system can be written as The solution ...

Question: 8.4.4

Finding the Multiplicative Inverse of a 3 × 3 Matrix Find the multiplicative inverse of A = [1 -1 1 0 -2 1 -2 -3 0]. ...

Verified Answer:

Step 1 Form the augmented matrix

\left[A \m...

Question: 11.3.2

Determining Where a Piecewise Function Is Discontinuous Determine for what numbers x, if any, the following function is discontinuous: f(x) = {x + 2 if x ≤ 0 2 if 0 1 ...

Verified Answer:

First, let’s determine whether each of the three p...

Question: 8.1.4

Gaussian Elimination with Back-Substitution Use matrices to solve the system: {2w + x + 3y – z = 6 w – x + 2y – 2z = -1 w – x – y + z = -4 -w + 2x – 2y – z = -7. ...

Verified Answer:

Step 1 Write the augmented matrix for the system. ...

Question: 6.3.7

Converting Equations from Polar to Rectangular Form Convert each polar equation to a rectangular equation in x and y: a. r = 5 b. θ = π/4 c. r = 3 csc θ d. r = -6 cos θ. ...

Verified Answer:

In each case, let’s express the rectangular equati...

Question: 4.1.4

Drawing Angles in Standard Position Draw and label each angle in standard position: a. θ = π/4 b. α = 5π/4 c. β = -3π/4 d. γ = 9π/4. ...

Verified Answer:

Because we are drawing angles in standard position...

Question: 2.4.1

Long Division of Polynomials Divide x² + 10x + 21 by x + 3. ...

Verified Answer:

The following process illustrates how polynomial d...

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