15,254 Answered Questions for the topic precalculus
Precalculus
09/12/22
+Amy has two ways to go to school, it's either she will ride to school for about 2 minutes or walk to school for 10 minutes. If you were Amy what will you choose and why?
Precalculus
09/12/22
For the function f defined by f(x)=4x^2+3x+5 , find the following values. f(x+h)
How do you find the time?
Joel can run around a 1/4-mi track in 66 sec, and Jason can run around the track in 60 sec. If the runners start at the same point on the track and run in opposite directions, how long will it take...
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Math is just letters and numbers, why should I even learn this?
Here's a big question most students have at the start of learning the subject. I was never informed why I should be graphing numbers, why mathematicians used certain letters, or the implications on...
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A mother wants to invest $11,000.00 for her son's future education. She invests a portion of the money in a bank certificate of deposit
A mother wants to invest $11,000.00 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account)which earns 4% and the remainder in a savings...
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The perimeter of a college athletic field is 100 meters and the length is 16 m more than the width. Find the length and width
The perimeter of a college athletic field is 100 meters and the length is 16 m more than the width. Find the length and width
Precalculus Math
09/09/22
I need help fast!!!
A candle is lit and burns until it is burned out, and the length of the candle changes at a constant rate of -1.2 inches per hour. 2 hours after the candle was lit the candle is 10.6 inches long....
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I need precalculus help fast!!!
A 19-inch candle is lit and steadily burns until it is burned out. Let b represent the burned length of the candle (in inches) and let r represent the remaining length of the candle (in inches).A....
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09/09/22
The points P({4},{1}) and Q(x,y) are on the graph of the function f(x) = {\sqrt{x}-1}.
The points P(4, 1) and Q(x, y) are on the graph of the function f(x) = √x - 1. Complete the table with the values for the slope of the secant line passing through points P and Q. Do not round until...
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Precalculus
09/09/22
shift left 7 units vertical stretch by a factor of 3 a shift down 8 units
I need help with a precalculus question
When running a 100 meter race Alan reaches his maximum speed 6 seconds after the race started when he is 30 meters from the starting line. Alan runs at this max speed for the rest of the race. Alan...
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Precalculus
09/07/22
Solve the rational equation. Check your solutions by checking the domain restriction. Show all work,
2/x-5 - x+1/x+4 = 6/x2-x-20
Precalculus
09/07/22
Solve the rational equation. Check your solutions by checking the domain restriction. Show all work,
2/x-5 - x+1/x+4 = 6/x2-x-20
Precalculus
09/07/22
Need to find linear function - Pre Calc
The cost of producing x widgets is linearly related to the numbers of widgets produced. Assume the cost of producing 30 widgets is $3,520 and the cost of producing 0 widgets (fixed cost) is $980....
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09/07/22
Trig Identities to prove equations
a.) Using the identity for tan(x+y), prove tan^(-1)x + tan^(-1)y = tan^(-1)[(x+y) / (1-xy)] where -π/2 < tan^(-1)x + tan^(-1)y < π/2b.) Use part a to show that tan^-1 (1/2) + tan^(-1)(1/3) =...
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Precalculus
09/07/22
Find the X and Y intercepts.
X intercept smaller x value (x,y) and X intercept larger x value (x,y).Y= -X2+3
09/06/22
I need an explanation for this practice question
A person gets on a Ferris wheel that starts 5 feet above ground and at its highest is 27 feet above ground. The Ferris wheel completes a full rotation in 40 seconds. The person starts at the...
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Taylor series to evaluate limit
Use Taylor series to evaluate lim x-> 0 [(ln√(x+1) - tan^(-1)x)] / x
Interval of convergence
a.) Evaluate ∫cosx/x dx. b.) Give the interval of convergence of the series in part a.I've gotten ∫cosx/x = Ci(x)+C so far
Finding power series and integral value
Find the power series of ln(x^(2) + 1), and with that estimate the value of ∫ln(x^(2) + 1)dx (with an upper bound of 0.5 and lower bound of 0)
Ratio/Interval of Convergence
What is the ratio of convergence and interval of convergence of f in a power series like: f(x) = (x^(2) / 5^(2)ln2) - (x^(3) / 5^(3)ln3) + (x^(4) / 5^(4)ln4) - (x^(5) / 5^(5)ln5) + ...
Maclaurin series and the Taylor’s inequality
How do we use Maclaurin series and the Taylor’s inequality to estimate the value of 4 cos 5° to four decimal-places.
Precalculus
09/05/22
Write Equation of Circle from Key Features
Determine the equation of the circle with center (0,-5) containing the points (-√109,-6)
Testing convergence
Test the convergence of the series through the ratio test and the integral test: ∑ (to ∞) n⋅e^(-2n)n=1
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