15,254 Answered Questions for the topic precalculus
Precalculus
03/02/23
For the function 𝑓(𝑥) = 𝑎𝑥^4+ 𝑏𝑥^3− 4𝑥^2+ 2𝑐𝑥 + 14, determine the values of a, b, and c so that 𝑓(−2) = 2, 𝑓′(−2) = 16 and 𝑓′′(−2) = −8
Precalculus
03/02/23
Find the distance between city a and city b in miles
City A(44degrees 4’ north latitude) City B(23degrees 46’ north latitude)Assume earths radius is 3960 miles
Precalculus
03/02/23
Pre calculus question
Test the polar equation for symmetry with respect to the polar axis, the pole, and the line theta = pi/2. (Select all that apply.)r^2 = 4 sin (theta) symmetric with respect to the polar...
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Precalculus
03/02/23
complete the table assuming continuously interest
Complete the table assuming continuously compounded interest. (Round your answers to two decimal places.)
Initial
InvestmentAnnual
% RateTime to
DoubleAmount After
10 Years
$900
%
93
5
yr
$
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Precalculus
03/01/23
Find the product. Leave the result in trigonometric form. (Let 0 ≤ 𝜃 < 2𝜋.)
[3(cos(𝜋/9) + i sin(𝜋/9))][6(cos(𝜋/18)+ i sin(𝜋/18))]
Precalculus
02/28/23
Find f ∘ g of a stone
A stone is dropped in a lake, creating a circular ripple that travels outward at a speed of 90 cm/s.(a) Find a function g that models the radius as a function of time t, in seconds.Find f ∘ g
02/28/23
Write an equation for the sine wave.
The x axis is in milliseconds. The y axis is measured in volts. Make conversions to write the period in seconds.
Precalculus
02/28/23
Find the angle 𝜃 (in radians) between the vectors. (Round your answer to two decimal places.)
u = 3i + 4jv = -9i + 5j
Precalculus
02/28/23
Find the midpoint of the line segment joining the points corresponding to the complex numbers in the complex plane
2 + i, 6 + 5i(x, y) =
Precalculus
02/28/23
Find the distance between the complex numbers in the complex plane
1 + 2i, -1 +4i
Precalculus
02/28/23
Use the vectors u = 4, 4 and v = -5, 2 to find the indicated quantity
(u • v)v =
02/27/23
Proving Riemann sum rules via mathematical induction
I have a question on my homework which states:Prove the following rule via mathematical induction: n ∑(3𝑖 − 2) i=1 = [n(3n − 1)]/2I understand that induction refers to substituting in first...
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Precalculus
02/27/23
precalculus help
The median home value in Massachusetts and California (adjusted for inflation) are shown below:
YearMassachusettsCalifornia
1950
55400
57900
2000
185700
211500
If we assume that the house...
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Precalculus
02/27/23
precalculus help
Suppose that the world's current oil reserves is r=1910 billion barrels. If, on average, the total reserves is decreasing by 25 billion barrels of oil each year, answer the following:A.) Give a...
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Precalculus
02/27/23
precalculus help
In 1994, the moose population in a park was measured to be 4450. By 1997, the population was measured again to be 4420. If the population continues to change linearly:A.) Find a formula for the...
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Precalculus
02/27/23
precalculus help
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 250 minutes,...
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Precalculus
02/27/23
precalculus help
In 2005, a school population was 1567. By 2006 the population had grown to 1751.1) How much did the population grow between the year 2005 and 2006? students2) How long did it take the population...
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Precalculus
02/27/23
precalculus help
If f(x) is a linear function, f(-3)=2, and f(1)=-4, find an equation for f(x).f(x) =
Precalculus
02/27/23
precalculus help
Find 5 solutions to the equation.y=-2x-1
x�
-2
-1
0
1
2
Plot the 5 solutions found above and graph the equation.
Precalculus
02/27/23
precalculus help
Find the equation of the line that passes through the point (2,7) and is parallel to the line y=6x-6. Express your equation in slope-intercept form, and give the full equation as your answer.The...
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Precalculus
02/27/23
precalculus help
Write the equation of a line parallel to the line:y=5/3x+5that goes through the point (-10, 9).Write your equation in slope intercept form, using reduced fractions for the slope and intercept if...
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Precalculus
02/27/23
Find sin2x ,cos2x , and tan2x if cosx=1/sqrt5 and x terminates in quadrant 1.
Precalculus
02/27/23
If f(x) is a linear function, f(-1) = -3, and f(3) =3, find and equation for f(x)
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