Precalculus Solutions | Expert Assistance for Problems & Examples

Determine if the following set of polynomials fors a basis of $P_{3}$
$p_{1} = 3 + 7 t, p_{2} = 5 + t - 2 t^{3}, p_{3} = t - 2 t^{2}, p_{4} = 1 + 16 t - 6 t^{2} + 2 t^{3}$

Phoebe 2021-10-19

Find two vectors that are orthogonal to the vector u, pointing in the opposite directions. $U = - \frac{1}{4} i + \frac{3}{2} j$

Mylo O'Moore 2021-10-17

Find the determinant of the matrix:
$[\begin{array}{ccc} 2 & 1 & 4 \\ - 3 & 1 & 5 \\ 4 & 0 & 0 \end{array}]$

Mylo O'Moore 2021-10-17

For the matrices, list the eigenvalues, repeated according to their multiplicities.
$[\begin{matrix} 4 & - 7 & 0 & 2 \\ 0 & 3 & - 4 & 6 \\ 0 & 0 & 3 & - 8 \\ 0 & 0 & 0 & 1 \end{matrix}]$

shadsiei 2021-10-15

Let $A = [\begin{array}{ccc} 4 & 0 & 5 \\ - 1 & 3 & 2 \end{array}]$
$B = [\begin{array}{ccc} 1 & 1 & 1 \\ 3 & 5 & 7 \end{array}]$
$C = [\begin{array}{ccc} 2 & - 3 \\ 0 & 1 \end{array}]$
Find $3 A - B; C \cdot B + A .$

Chesley 2021-10-15

Find a vector equation for the line segment from (6, - 1, 9) to (7,6 ,0).

Zoe Oneal 2021-10-14

Find the gradient vector field of f. $f (x, y, z) = {(x^{2} + y^{2} + z^{2})}^{\frac{1}{2}}$

Jaden Easton 2021-10-13

Tell which of the following subsets are subspaces of the vector space of nxn matrices, $M_{n x n}$
a) The set of nxn matrices with a zero determinant.
b) The invertible matrices.
c) The diagonal matrices.
d) Upper triangular matrices.
e) The nxn matrices, all of $M_{n x n}$ .

Nann 2021-10-12

Find the gradient vector field of f.
$f (x, y) = \tan (3 x - 4 y)$

If the roots of $a x^{2} + b x + c = 0$ are $\frac{3}{2}, \frac{4}{3}$ then $(a + b + c)^{2} =$

What is the best way of determining whether the given equation is a circle?

postillan4 2021-09-30

Write the equation. Zeros at x = −2, x = 1, and x = 3. y-intercept at (0, −4).

Suman Cole 2021-09-28

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Roots of multiplicity 2 at x = 3 and x = 1, and a root of multiplicity 1 at x = −3. y-intercept at (0, 9)

alesterp 2021-09-26

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at x = −5, x = −2, and x = 1. y-intercept at (0, 6)

zi2lalZ 2021-09-26

Graph the rational functions. $y = \frac{(x^{3}) + x - 2)}{(x - (x^{2})}$

necessaryh 2021-09-25

For the following exercise, for each polynomial, a. find the degree. b. find the zeros, if any. c. find the y-intercept(s), if any. d. use the leading coefficient to determine the graph’s end behavior. and e. determine algebraically whether the polynomial is even, odd, or neither.
$f (x) = - 3 x^{2} + 6 x$

BenoguigoliB 2021-09-24

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 4. Root of multiplicity 2 at x = 4, and roots of multiplicity 1 at x = 1 and x = −2. y-intercept at (0, −3).

Aneeka Hunt 2021-09-24

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Roots of multiplicity 2 at x = −3 and x = 2 and a root of multiplicity 1 at x=−2. y-intercept at (0, 4).

rocedwrp 2021-09-24

State the parent function that must be transformed to create the graph of each of the following functions. Then describe the transformations that must be applied to the parent function.
a) $y = (\frac{5}{4}) x^{4} + 3$
b) $y = 3 x - 4$
c) $y = {(3 x + 4)}^{3} - 7$
d) $y = - {(x + 8)}^{4}$
e) $y = - 4.8 (x - 3) (x - 3)$
f) $2 {((\frac{1}{5}) x + 7)}^{3} - 4$

defazajx 2021-09-23

Sociologists have found that information spreads among a population at an exponential rate. Suppose that the function $y = 525 (1 - e^{- 0.038} t)$ models the number of people in a town of 525 people who have heard news within t hours of its distribution. How many people will have heard about the opening of a new grocery store within 24 hours of the announcement?

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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