15,254 Answered Questions for the topic precalculus

Precalculus Math Algebra 2

09/10/22

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... more
Precalculus Math Algebra 1 Algebra 2

09/10/22

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... more
Precalculus

09/10/22

How do i get g(x+a)-g(x)

G(x)=-4x2+5x
Precalculus Math Algebra 2 Calculus

09/10/22

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... more
Precalculus Math Algebra 1 Algebra 2

09/10/22

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.... more
Precalculus Math Calculus

09/09/22

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.... more
Precalculus Math Calculus Mathematica

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... more
Precalculus

09/09/22

shift left 7 units vertical stretch by a factor of 3 a shift down 8 units

Precalculus Math Calculus

09/08/22

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... more
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.... more
Precalculus Math Calculus Trigonometry

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) =... more
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
Precalculus Geometry Trigonometry

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... more
Precalculus Math Calculus

09/06/22

Taylor series to evaluate limit

Use Taylor series to evaluate lim x-> 0 [(ln√(x+1) - tan^(-1)x)] / x
Precalculus Math Calculus

09/06/22

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
Precalculus Math Calculus

09/06/22

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)
Precalculus Math Calculus

09/05/22

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) + ...
Precalculus Math Calculus

09/05/22

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)
Precalculus Math Calculus

09/05/22

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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