Precalculus Solutions | Expert Assistance for Problems & Examples

Find the derivatives of the functions. $f (x) = [\ln (e^{x}]^{2} - \ln [(e^{x^{2}})]$

slaggingV 2021-09-15

Find derivatives of the functions defined as follows.
$s = 5 \dot{{} 2^{\sqrt{t - 2}}$

Tyra 2021-09-14

Factor each of the following polynomials completely. Indicate any that are not factorable using integers.
$3 x^{4} - 48$

iohanetc 2021-09-14

Factor the polynomial.
$12 x^{2} - x - 6$

mattgondek4 2021-09-14

If B is the standart basis of the space $P_{3}$ of polynomials, then let $B = 1, t, t^{2}, t^{3}$ . Use coordinate vectors to test the linear independence of the set of polynomials below. Explain you work.
$1 + 3 t^{2} - t^{3}, t + 6 t^{3}, 1 + t + 3 t^{2}$

Chaya Galloway 2021-09-14

For the given functions f and g, find:
(a) $f \circ g$
(b) $g \circ f$
(c) $f \circ f$
(d) $g \circ g$
State the domain of each composite function.
$f (x) = \frac{1}{x + 3} . g (x) = - \frac{2}{x}$

Annette Arroyo 2021-09-14

Consider the following polynomials over $Z_{8}$ where a is written for [a] in $Z_{8}$ :
$f (x) = 2 x^{3} + 7 x + 4, g (x) = 4 x^{2} + 4 x + 6, h (x) = 6 x^{2} + 3$
Find each of the following polynomials with all coefficients in $Z_{8}$
$g (x) + h (x)$

e1s2kat26 2021-09-14

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
$9 x^{2} - 24 x + 16$

opatovaL 2021-09-13

Suppose that you buy a lottery ticket containing k distinct numbers from among ${1, 2, . . ., n}, 1 \leq k \leq n$ . To determine the winning tickets, k balls are randomly drawn without replacement from a bin containing n balls numbered 1, 2, . . . , n. What is the probability that at least one of the numbers on your lottery ticket is among those drawn from the bin?

rocedwrp 2021-09-13

Add polynomials:
$f (x) = 2 x^{3} + 5 x^{2} - 3 x + 4$
$g (x) = x^{5} - 2 x^{2} - 1$
$f (x) + g (x) =$

Kye 2021-09-13

Find all roots of each of the of the following quartic polynomials:
a) $z^{4} + \sqrt{10} z + \frac{1}{4}$ using factorization into two quadratic polynomials

snowlovelydayM 2021-09-13

In the given equation as folows , use a computer algebra system to find the indicated Taylor polynomials for the function f. Graph the function and the Taylor polynomials :-
$f (x) = \tan π x$
$(a) n = 3, c = 0$

CoormaBak9 2021-09-13

Find all the roots (real and imaginary) of the given polynomials. Describe multiplicity when applicable. Please show all work and simplify your answers.
$f (x) = x^{4} - 8 x^{2} - 8 x + 15$

bobbie71G 2021-09-13

Determine the third and fourth Taylor polynomials of $x^{3} + 3 x - 1$ at $x = - 1$

CMIIh 2021-09-13

where 30% of all admitted patients fail to pay their bills and the debts are eventually forgiven. suppose that the clinic treats 2000 different patients over a period of 1 year, and let x be the number of forgiven debts. a. what is the mean (expected) number of debts that have to be forgiven? b. find the variance and standard deviation of x. c. what can you say about the probability that x will exceed 700?

mattgondek4 2021-09-13

Seven red and one black ball are present in Urn 1. One red ball and two black balls are in Urn 2. Five red and two black balls are in urn number three. Calculate the likelihood that a red ball will be drawn if an urn is chosen at random and then drawn.

Carol Gates 2021-09-13

What is the sum of $6 x^{3} - 5 x + 2$ and $- 2 x^{3} - 4 x + x - 8$ ?

Line 2021-09-13

Common derivative polynomials:
$\frac{d}{d x} (c) = 0$

generals336 2021-09-13

Determine if the following set of polynomials fors a basis of $P_{3}$
$p_{1} = 3 + 7 t,$

$p_{2} = 5 + t - 2 t^{3},$

$p_{3} = t - 2 t^{2},$

$p_{4} = 1 + 16 t - 6 t^{2} + 2 t^{3}$

Tammy Todd 2021-09-13

Factor the following polynomials.
a) $x^{2} - 6 x + 9$
b) $x^{2} - 25$
c) $3 x^{2} - 21 x + 30$

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