15,254 Answered Questions for the topic precalculus

Precalculus Trigonometry

07/21/24

Solve 7 sin (2a) + 10 cos (a) = 0 for all solutions 0 ≤ a < 2π. Give your answers separted by commas. Round answers to at least two decimal places. a=?
Would someone be able to explain this process? Thank you so much!
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Precalculus

07/19/24

Partial Fraction Decomposition
Can I find the P.F.D. of f(x) = {9x^3 +8x^2 +45x +54}/{x^4 +9x^2} w/o having to solve a 4x4 system of equations?
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Precalculus

07/18/24

Pre-Calculus Question
25x2 − 120xy + 144y2 − 156x − 65y = 0(b) Use a rotation of axes to eliminate the xy-term. (Write an equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ 𝜑 ≤ 𝜋/2.)
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Precalculus Math Algebra 2 Calculus

07/05/24

Finding the stationary points of a given function
If given f(x) = x3ex,a) How can I find coordinates of the stationary point(s) of f(x)b) How can I determine the nature of the stationary point of f(x).c) On what interval is the function f(x)... more
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Precalculus Math Calculus

07/05/24

Proving u and v is perpendicular to the sum of 2u and v
Suppose u and v are such that the sum of u and v is perpendicular to u. If |v| =√(2)|u|, how can I prove that v is perpendicular to the sum of u and v .
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Precalculus Math Algebra 2 Calculus

07/05/24

Stationary points of a given function
If given f(x) = x3e3,a) How can I find coordinates of the stationary point(s) of f(x)b) How can I determine the nature of the stationary point of f(x).c) On what interval is the function f(x)... more
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Precalculus

07/02/24

Solve Ferris Wheel Problem

A Ferris wheel is boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The function H ( t ) = − 10 cos ( π... more
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Precalculus Algebra 1

06/29/24

Homework question
NASA launches a rocket at 𝑡=0 seconds. Its height, in meters above sea-level, as a function of time is given by ℎ(𝑡)=-4.9𝑡2+79𝑡+115.Assuming that the rocket will splash down into the ocean, at what... more
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Precalculus

06/25/24

What are the values of X
2tanx/1-tan^2x = 1/√3I know it is pi/6 + pin/2 but the answers to choose are: 7pi/12 +npi, 11pi/12 +npi, 5pi/12 +npi and pi/12 +npi. Are the correct answers 7pi/12 +npi and pi/12 +npi Thank you
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Precalculus

06/20/24

find an angle theta

find an angle (theta) with 0 degrees < theta < 360 degrees that has the same:Sine as 80 degrees: theta = ? degreesCosine as 80 degrees: theta = ? degrees
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Precalculus

06/20/24

The terminal side of angle β in standard position goes through the point (-15,-8). Find the values of the six trigonometric functions of β.

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Precalculus

06/20/24

Find the exact value for the expression under the given conditions. (cosα+β), sinα = −8/ 17for α in Quadrant III and cosβ = −8/15 for β in Quadrant II.
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Precalculus Math Trigonometry

06/18/24

Prove the law of sines
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Precalculus

06/17/24

Which of the following functions has one root, x=3 and one vertical asymptote, x=2?
A) ln(-x)B) ln(x+1)C) ln(x+2)D) ln(x-2)E) none of these
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Precalculus

06/12/24

Angle Measures 6.1 (13)
Find an angle between 0 and 2𝜋 that is coterminal with the given angle.23𝜋
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Precalculus Calculus

06/12/24

Law of Logarithms 4.4 (1)
The logarithm of a product of two numbers is the same as the sum  of the logarithms of these numbers. So log4(16 · 64) = log4(16) +  __________
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Precalculus Calculus

06/12/24

4.4 Laws of Logarithms (3)
The logarithm of a number raised to a power is the same as the  times the logarithm of the number. So log4(1614) = 14 ·__________
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Precalculus Calculus

06/12/24

4.4 (11) laws of logarithms
Use the Laws of Logarithms to combine the expression.(1/2)log2(6) − 2 log2(7)
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Precalculus Calculus

06/12/24

4.3 (1) logarithmic functions

The function f(x) = log16(x) is the logarithm function with base ____________. So f(16) =  __________, f(1)=_____________, f(1/16)____________, f(25)=_____________, and f(4)___________.
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Precalculus

06/11/24

Divergence and Convergence of Arithmetic Series

Can a series using the arithmetic sequence ever converge? Why? Does it change if it's a finite series vs an infinite series?
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Precalculus Calculus

06/10/24

3.6 (1) --- Rational Functions

If the rational function y = r(x)  has the vertical asymptote x = 1, then as x → 1+,  eitherY-->________ (smaller value)Y-->________ (larger value)
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Precalculus

06/09/24

Ferris wheel part 2
A Ferris wheel is 10 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The... more
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Precalculus

06/09/24

Ferris wheel revolution
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The... more
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Precalculus Calculus

06/04/24

3.3, (13) Consider the following

P(x) = x3 + 2x2 − 9x − 18,    c = −2Show that the given value of c is a zero... more
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06/03/24

3.1 6, a quadratic function is given
A quadratic function f is given.f(x) = −4x2 − 20x + 4(a)Express f in vertex form.(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)vertex:X intercept... more
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