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Precalculus Questions
Find the area of the region bounded by the two functions f(x) = x 2 −...
Given sin u = 5/13, with pi/2 < u < pi , find the exact value...
For the following exercises, consider this scenario: For each year t, the population of a forest...
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of...
Find the geometric means in the following sequence. -14, ?, ?, ?, ?, -235,298 A. 98,...
You have just been elected to the position of city manager in your town, and your...
When Kora graduates, she plans to purchase a hybrid car for $26,000. She does some research...
Use Gaussian elimination to find the complete solution to the following system of equations, or show...
Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant....
An elliptical shaped lawn has a major axis of 36 feet and a minor axis of...
which is a one to one function x^2=y+1 3x+2y=7
An experiment is taking place involving an exponentially decaying radioactive element with a decay factor of...
For the rational function f(x)= (3x^3 - 27x^2 + 60x) / (2x^2 + 2x - 40)...
Consider the function f(x) = 4 + x cos x. Write an equation for : a)...
csc(theta) >0, tan (theta) <0 what quadrant does theta lie?
(1 point) Convert the following polar coordinates into rectangular coordinates. (a) 〈2∠45∘〉 x= _____, y= _____....
A 400 room hotel can rent every one of its rooms at $70 per room. For...
Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x2 dollars to...
which of the following are true statements? Check all that apply 1) logM^(p)=p*logM 2) log ((M)/((N)))=logM-logN...
Find the domain, all asymptotes, zeros, y-intercept, f(x) = 2(x + 1)(x – 3)(x – 6)(x...
The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is...
You have an investment of $2,300.00 that you want to double in 18 years. If interest...
You are observing an unknown radioactive isotope. At 9 am, there are 17.5 g. at 7...
A pair of hikers leave their tent and make the following movements: Travel 18 feet west,...
Determine the solutions to the equation 2sinx - cos^2 x = sin^2 x for 0≤x≤2pi.
Find a possible formula for the trigonometric function whose values are in the following table. x...
If a company's cost function for a product is C(q) = 2280 + 3.8q + 0.004q2...
f(x) = 2x^2 -4x-1 write in certex form and sketch graph solve for x if [2x-1]...
Follow the seven-step strategy to graph the following rational function. f(x)= x+2 / x2+2x-15
Translate the following phrases into algebraic expressions: a. The 9th term of an arithmetic sequence whose...
for the given functions f and g, find the composite functions f ∘ g and g...
Equation for parabola vertex (-4,-1) focus (0,-1)
Write 1 equation that requires the use of logarithms. Your problem needs to include at least...
Solve the equation and write its general solution. a) 2Cos x + √3 = 0 b)...
The zeros of a function are -1, 2-square root 3, and 2+ square root 5. If...
The cost of a booth rental is $50 down and an additional $5 every hour. 1....
You run a company that distributes paper. At a price of $9 per ream, supply is...
A pool measuring 12 meters by 16 meters is surrounded by a path of uniform width....
Which is larger after 5 years: an investment of $7000 earning 4% compounded monthly or an...
Find the equation of an ellipse, in standard form, satisfying the given conditions: Vertices: (-8.2, 4)...
A model rocket is launched upward from ground level with an initial speed of 80 meters...
A manufacturer sells a product at $8.15 per unit, selling all produced. The fixed cost is...
If $ 60,000 is invested in an account paying 3.5% interest, how much will be in...
3.5.2a. If csc(θ)=3 and (π/2) <?θ< ?π ( signs are less than and equal to) find...
1. What is a critical number of a function f ? What is the connection between...
For functions z(x) and w(x), the following information is provided. z(1)= 8 w(1)=5 z'(1)=sqrt(2) w'(1)=pi Define...
39. Suppose a continuous income stream has an annual rate of flow given by: f(t) =...
Suppose a hotel operator finds that they can fill 119 rooms at a nightly price of...
Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; ...
A video game console manufacturer determines that in order to sell x units of a new...
1. solve for x and graph solutions on a real number line -7≤ 2x+5≤21 2. Solve...
Find the domain of f(g(x)). f(x)= 5/x-1 g(x)=4/3x-2 If anyone can solve this and explain the...
*******express how i can obtain the below equation into power reducing formula*** 2sin^2(alpha)cos^2(alpha) I get that...
Describe a situation that could be modeled by sine or cosine and explain why that makes...
An arch is in the shape of a parabola. It has a span of 186 meters...
A survey of 1,0001,000 employees in a company revealed that 255255 like rock music, 304304 like...
At 11:30 a.m. that angle of elevation of the Sun for one city is 55.3 degrees....
An apparel shop sells skirts for $45 and blouses for $35. It's entire stock is worth...
Determine the amplitude, the period and the phase shift of the function 1. y = 1/3 cos...
Write equations of the lines through the given point parallel to and perpendicular to the given...
put the following in vertex form: ( x^2-4x+3)
Find the area of the given quadrilateral ABCD. Round your answer to three decimal places. Going...
Simplify cos(x−π)cos(x-π) to a single trig function using a sum or difference of angles identity
solve this inequality 3 - 5x^2 ≥ 2x^3 - 4x
Use the remainder theorem to find the remainder when f(x) is divided by x+3. Then use...
4. Given v= < -3, 2 > and w = < 5, - 4 >, find:...
3.Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer....
Solve the following equations: 1) 4e^(2x)+5=17 2) e^(2x)-e^x-12=0 3) 2ln(x+1)=18 4) log(3x+2)-Log(4)=log(x+4)
Question 3. Using the values ??? ??° = ?/? and ??? ??° = √?/? to evaluate...
Let m be a number in the interval (0,pie). which of the following is larger: cos...
A 10-inch square piece of metal is to be used to make an open-top box by...
a) given 8y-2x+6+y^2=0, find the standard form of this parabola and give appropriate information. b) given...
1. Ball Trajectory A child throws a ball from the window of a house. The height...
Convert between probability and odds. (a) Determine the probability for the odds of 4 to 1...
A steep mountain is inclined 72 degrees from the horizontal and rises 3100 vertical feet above...
George is taking a road trip. His car holds 12 gallons of gas and has a...
This exercise uses Newton's Law of Cooling. Newton's Law of Cooling is used in homicide investigations...
jeremy is buying a new car. the total coat, including tax, is $27125. if the tax...
On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 215),...
Determine the time necessary for P dollars to double when it is invested at interest rate...
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