454 Answered Questions for the topic Precalculus Homework

10/30/17

#### Find an nth degree polynomial function with real coefficients satisfying the given conditions

n=3
-2, and -2+3i are zeros
leading coefficient is 1

10/30/17

#### A certain culture initially has 25 bacteria and is observed to double every 5 hours

a) Find an exponential model n(t) = n02t/a for the number of bacteria in the culture after t hours.
b) Estimate the number of bacteria after 18 hours.
c) After how many hours will the bacteria...
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10/30/17

#### After how many days are there only 5 g remaining?

A 15 g sample of radioactive iodine decays in such a way that the mass remaining after t days is given bym(t) = 15e−0.087t, where m(t) is measured in grams.

10/25/17

#### Use the Laws of Logarithms to expand the expression (a and b), or combine the expression (c and d)

a) log (a2 / b4 √c)
b) ln (√x2 +4 / (x2 + 1)(x3 - 7)2)c) 4 ln x −1/3 ln(x2 + 1) + 2 ln(x − 1)
d) log 5 + 2 log x + 3 log(x2 + 5)

10/25/17

#### If $3,500 is invested at an interest rate of 6.25% per year compounded continuously, find the value of the investment after

A.) 3 years

10/24/17

#### Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after

m(t) = 6e−0.087t
where m(t) is measured in grams.
a) Find the initial mass (mass at time t = 0).
b) How much of the mass remains after 20 days?

10/18/17

#### Find the intercepts and asymptotes

a) r(x) = x − 2 / x2 − 4x
b) s(x) = x2 − 2x + 1 / x3 − 3x2

10/15/17

#### Word Problem

Beth has 230ft of fencing available to make a rectangle enclosed in an open field. The enclosure needs to have an area of 3000ft^2. If she has to use all 230ft of fencing, what dimensions should...
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10/14/17

#### Word Problem Help!

A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the max area that the class can enclose using 32 ft of fence? What...
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10/14/17

#### Pre-Calc Help!

The spreag from of oil leaking from a tanker is in the shape of a circle. If the radius r (in feet) of the spread after t hours is r(t) = 200sqt(t), find the area A of the oil slick as a function...
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Precalculus Homework

10/11/17

#### Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.

A woman 5 ft tall is standing near a street lamp that is 14 ft tall

10/05/17

#### Two polynomials P and D are given.

Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form P(x)D(x)= Q(x) + R(x)/D(x).
P(x) = 2x3 + 4x2 − 2x − 1, D(x) = x + 3
P(x)/D(x)=

10/02/17

#### For the quadratic f(x) = 1 − 6x − x^2

(a) Express f(x) in standard form
(c)find its maximum or minimum value.

10/02/17

#### Find the values of the trigonometric functions of t when csc t = 3 and the terminal point of t is in Quadrant II.

I incorrectly solved it the first try.

Precalculus Homework College Algebra

09/26/17

#### Use the Inverse Function Theorem to show that f and g are inverses of each other

f(x) = x3 + 1
g(x) = ^3√x − 1

09/24/17

#### Show each step needed to transform y=(x^2-4) to y=-x^2 and label each step with the equation.

Show each step needed to transform y=(x^2-4) to y=-x^2 and label each step with the equation.

09/24/17

#### Supposed that f(x)= x^2+2x-8

a) What are the coordinates of the vertex?
b) Find the x-intercepts using algebra.

09/24/17

#### For the following function....

f(x)= -x+1 if -1<= (read this as less than or equal to) x<1
f(x)= 2 if x=1
f(x)= x^2. if x>1
a) find f(0)
b) find f(1)
c) find f(2)
d) determine...
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