Precalculus Solutions | Expert Assistance for Problems & Examples

Tell whether the function represents exponential growth or exponential decay. Explain your reasoning. f(x)=4e^−x

BenoguigoliB 2021-09-11

Kate and Helena were playing a card game with a 25 card deckk. Kate added 6 cards to the stack. Then she took 7 cards away. Helena took 5 cards. How many cards remained in the deck?

Chardonnay Felix 2021-09-11

Is the function in $f (x) = \frac{x}{29} + \frac{2}{x}$ a rational function? If so, write it in the form $\frac{p (x)}{q (x)}$ , the ratio of polynomials, where p(x) has leading coefficient 1, and p(x) and q(x) share no common factors.

Reeves 2021-09-11

$\sin x + \sin 3 x = 0$

Ayaana Buck 2021-09-11

In the following exercises, add or subtract the polynomials.
$(8 m^{2} + 12 m - 5) - (2 m^{2} - 7 m - 1)$

snowlovelydayM 2021-09-11

Find the LCM of the given polynomial.
$3 x^{2} - 27, 2 x^{2} - x - 15$

Reggie 2021-09-11

Suppose you want to estimate $\sqrt{26}$ using a fourth-order Taylor polynomial centered at $x = a$ for $f (x) = \sqrt{x}$ . Choose an appro-priate value for the center a.

Sinead Mcgee 2021-09-11

Determine the product of the polynomials.
$(4 r - 1) (7 r + 2)$

usagirl007A 2021-09-11

Add the given polynomials.
$- x^{2} - x - 4,$

$2 x^{2} - 7 x + 9,$

and $- 3 x^{2} + 6 x - 10$

melodykap 2021-09-11

Express $f (x) = 4 x^{3} + 6 x^{2} + 7 x + 2$ in term of Legendre Polynomials.

Brittney Lord 2021-09-11

Consider the following polynomials in $P_{3}$ :
$q (x) = - x^{3} + 3 x^{2} - x + 5$
$r (x) = - 4 x^{3} + 7 x^{2} - x + 10$
$u (x) = - 5 x^{3} + 8 x^{2} + 10$
For each of the following polynomials, determine whether it is in {q,r,u}. If so, ecpress it as a lineare combination of the polynomials above. Use e.g. q rather than q(x) to represebt the polynomials in your linear combination.
$p_{1} (x) = - 3 x^{2} - 3 x + 10$

Jerold 2021-09-10

Find the zeros of the following quadratic functions.
$a) f (x) = 4 x^{2} - 4 x + 1$
$b) f (x) = 12 x^{2} - 3 x + 5$

ossidianaZ 2021-09-10

Determine whether the series converges:
$\sum_{k = 1}^{\infty} \frac{4}{{(k + 2)}^{5}}$

zi2lalZ 2021-09-10

A report revealed that the average number of months that an employee stays in a factory is 36 months. Assuming that the number of months of an employee tenure in the factory is normally distributed with a standard deviation of 6 months, find the probability that a certain employee will stay. a. More than 30 months b. Less than 24 months c. Between 24 to 48 months

EunoR 2021-09-10

Multiply the polynomials.
$(6 x^{2} + 6 x + 1) (3 x - 1)$

Anish Buchanan 2021-09-10

Let $p (t) = t^{5} - 6 t^{4} + 6 t^{3} - 6 t^{2} + 5 t$ .
a) Factorise p(t) as a product of degree 1 polynomials.
b) Give an example of a matrix with characteristic polynomial p(t). That is, find a matrix A such that $P_{a} (t) = p (t)$
c) Give an example of a degree 3 polynomial q(t) with real coefficients that has two imaginary roots. For the polynomial q(t) you find, give a matrix that has characterestic polynomial q(t).

Rivka Thorpe 2021-09-10

Multiply the following polynomials:
$(4 x + 4) (4 x + 4)$

arenceabigns 2021-09-10

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.
$\sin x = x^{2} - x, (1, 2)$

Zoe Oneal 2021-09-09

Add or subtract the following polynomials.
$(2 a^{3} b + 1) + (4 a^{3} b + 2)$

Anonym 2021-09-09

Taylor polynomials for $e^{x}$
a. Find the Taylor polynomials of order $n = 0, 1, 2,$ and 3 for $f (x) = e^{x}$ centered at 0.

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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