Precalculus Solutions | Expert Assistance for Problems & Examples

Use matrices to solve the given system of equations. Use back-substitution Gaussian elimination or Gauss-Jordan elimination.
${\begin{cases} x + 3 y = 0 \\ x + y + z = 1 \\ 3 x - y - z = 11 \end{cases}$

ringearV 2021-02-08

Use elementary matrices to write ? in row reduced echelon form. Use the elementary matrices to find the inverse of
$A = [\begin{matrix} 1 & 0 & - 2 \\ 0 & 2 & 1 \\ 0 & 0 & 1 \end{matrix}]$

Kaycee Roche 2021-02-08

Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series.
$\sum_{n = 2}^{\infty} \frac{1}{n \sqrt{\ln n}}$

Mylo O'Moore 2021-02-08

Let $M_{2 \times 2} (Z / 6 Z)$ be the set of 2 x 2 matrices with the entries in $Z / 6 Z$
a) Can you find a matrix $M_{2 \times 2} (Z / 6 Z)$ whose determinant is non-zero and yet is not invertible?
b) Does the set of invertible matrices in $M_{2 \times 2} (Z / 6 Z)$ form a group?

ruigE 2021-02-08

simplify the following matrix expression:
$[\begin{matrix} 1 & 5 \\ 2 & - 3 \\ - 3 & 7 \end{matrix}] - 2 [\begin{matrix} 2 & - 3 \\ 8 & 5 \\ - 1 & - 1 \end{matrix}] = ?$

Reggie 2021-02-08

Explain how we can evaluate the expression $\cos (\arctan (\frac{v}{a}))$ and what the evaluation is in terms of v and a.

SchachtN 2021-02-08

Determine whether each statement is sometimes, always , or never true for matrices A and B and explain your reasoning. Stuck on one of them? Try a few examples.
1) If A+B exists , then A-B exists
2) If A and B have the same number of elements , then A+B exists.

chillywilly12a 2021-02-08

Begin by graphing
$f (x) = 2^{x}$
Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each functions

Phoebe 2021-02-06

Let the matrix A,B, C and D be as given. Find the product of the sum of A and B and the difference between C and D.
$A = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}], B = [\begin{matrix} 1 & 0 \\ 0 & - 1 \end{matrix}], C = [\begin{matrix} - 1 & 0 \\ 0 & 1 \end{matrix}], D = [\begin{matrix} - 1 & 0 \\ 0 & - 1 \end{matrix}]$

tricotasu 2021-02-06

Add the following matrices. $[\begin{matrix} - 4 & - 4 \\ 5 & - 1 \\ - 3 & 1 \end{matrix}], [\begin{matrix} 0 & 0 \\ 3 & 1 \\ - 4 & 1 \end{matrix}]$

Dottie Parra 2021-02-06

For the composite function, identify an inside function and an oposite fnction abd write the derivative with respect to x of the composite function. (The function is of the form f(x)=g(h(x)). Use non-identity dunctions for g(h) and h(x).)
$f (x) = 71 e^{0.2 x}$
{g(h), h(x)} = ?
f'(x) = ?"

Khadija Wells 2021-02-05

A radio station gives a pair of concert tickets to the 6th called who knows the birthday of the performer. For each person who calls, the probability is.75 of knowing the performer birthday. All calls are independent.
a. What is the PMF (Probability Mass Function) of L, the number of calls necessary to find the winner?
b. What is the probability of finding the winner on the 10th call?
c. What is the probability that the station will need 9 or more calls to find a winner?

postillan4 2021-02-05

Suppose that u,vu,v and w are vectors such that $⟨ u, v ⟩ = 6, ⟨ v, w ⟩ = - 7, ⟨ u, w ⟩ = 13 ∣ ∣ u ∣ ∣ = 1, ∣ ∣ v ∣ ∣ = 6, ∣ ∣ w ∣ ∣ = 19 ∣ ∣ u ∣ ∣ = 1$ , given expression $⟨ u + v, u + w ⟩$ .

tricotasu 2021-02-05

Determine the exact value of expression.
$\tan (330) \times \cos (240) - 2 \cos (270)$

Clifland 2021-02-05

Write the given matrix equation as a system of linear equations without matrices.
$[\begin{matrix} 4 & - 7 \\ 2 & - 3 \end{matrix}] [\begin{matrix} x \\ y \end{matrix}] = [\begin{matrix} - 3 \\ 1 \end{matrix}]$

banganX 2021-02-05

$A = [\begin{matrix} 2 & 1 & 1 \\ - 1 & - 1 & 4 \end{matrix}] B = [\begin{matrix} 0 & 2 \\ - 4 & 1 \\ 2 & - 3 \end{matrix}] C = [\begin{matrix} 6 & - 1 \\ 3 & 0 \\ - 2 & 5 \end{matrix}] D = [\begin{matrix} 2 & - 3 & 4 \\ - 3 & 1 & - 2 \end{matrix}]$
a) $A - 3 D$
b) $B + \frac{1}{2}$
c) $C + \frac{1}{2} B$
(a),(b),(c) need to be solved

lwfrgin 2021-02-05

Given matrix A and matrix B. Find (if possible) the matrices: (a) AB (b) BA. $A = [\begin{matrix} 1 & 2 & 3 & 4 \end{matrix}], B = [\begin{matrix} 1 \\ 2 \\ 3 \\ 4 \end{matrix}]$

smileycellist2 2021-02-05

Solve the systems of equations using matrices.
$4 x + 5 y = 8$
$3 x - 4 y = 3$
Leave answer in fraction form.
$4 x + y + z = 3$
$- x + y = - 11 + 2 z$
$2 y + 2 z = - 1 - x$

ediculeN 2021-02-04

Determine whether the given matrices are inverses of each other. $A = [\begin{matrix} 8 & 3 & - 4 \\ - 6 & - 2 & 3 \\ - 3 & 1 & 1 \end{matrix}] and B = [\begin{matrix} - 1 & - 1 & - 1 \\ 3 & 4 & 0 \\ 0 & 1 & - 2 \end{matrix}]$

Chaya Galloway 2021-02-04

Solve the polynomials: $(1 + x + x^{4}) (5 + x + x^{2} + 3 x^{2})$

Precalculus problems and solutions are hard to find online even though this topic is quite popular among college students majoring in Engineering. Keeping this fact in mind, we decided to provide you with a list of questions and answers that will help you with various precalculus problems. Regardless if it is related to equations or any other problem, these precalculus problems and composite functions examples and solutions below will help you see the logic and compare solutions as you check your original task.

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