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Precalculus Questions
11. The rate at which weekly attendance might grow for an artsy film with a low...
Solve the following system of linear equations: { 3? + 2? − ? = 8 2?...
The sum of the first 14 terms of an arithmetic sequence of real numbers is 20...
Phyllis invested $8,000, a portion earning a simple interest rate of 3 1/5 % per year...
If a radioactive mass declines in potency from 10651 clicks per hour in 1978 to 6810...
A ferris wheel is 16 meters in diameter and makes one counterclockwise revolution every 3 minutes....
1. Use Laws of Logs to: a) Expand log (x^7 y^-5)/ z^-4 b) Combine 8log3A –...
Find sin x/2, cos x/2 in exact values with the given information: csc ? = −√26,...
You just won $1200 in the lottery and you decide to invest this money for 11...
Suppose an ant is sitting on the perimeter of the unit circle at the point (1,0)....
The populations P (in thousands) of a particular county from 1971 through 2014 can be modeled...
Use inverse trig functions to find the smallest two positive solutions of sin(8x+2) = 0.7851 on...
Solve the following equations over the interval [0,2pi) a) 3tan^2x-9=0 b) 2cos3x=1 c) sin2x=cosx d) 2sin^2-3sinx+1=0
1. Determine two coterminal angles (one positive and one negative) for each angle. Give your answers...
Solve for the remaining side(s) and angle(s) if possible. (Round your answers to two decimal places....
(Please type instead of writing on a paper, and scanning it. Some of the handwritings on...
Is 2/(x^3) a power function?
Use a system of linear equations to find the quadratic function f(x) = ax2 + bx...
For the sequence 8x + 4, 7x + 3, 6x + 2, 5x +1, ... ,...
y = (6 +cos(x))^x Use Logarithmic Differentiation to find dy/dx dy/dx = Type sin(x) for sin(x)sin(x)...
You invest $3500 in an account at interest rate r, compounded continuously. Find the time required...
Given the polynomial function f(x)=(x-a)(x-b)^2, and a<0<b, find the following: A). Sketch the graph B). find...
Solve the sytem using elimination. Do not use augmentive matrix. (a) 3x - 2y + z...
Find the indicated maximum or minimum value of the objective function in the linear programming problem....
4cot^3(t)/csc(t)=4cos(t)(csc^2t-1)
Set up the system of equations and then solve it by using an inverse matrix. A...
To screen prospective employees, a company gives a 10-question multiple-choice test. Each question has 4 possible...
Let the angles of a triangle be α, β, and γ, with opposite sides of length...
A small town has 7000 adult males and 5000 adult females. A sociologist conducted a survey...
Problem 2 (a) Describe how one can visually identify the graph (or table) of a function...
A builder has a large plot of land and wishes to fence in 60,000 square feet...
5. (10 pts) Let ?(?) = ?^2−1/ 2?^2+3?+1 a) Simplify the function and find all asymptotes...
How to decompose this into a partial fraction? Please provide clear step-by-step solutions. (4x2-5x-15)/((x)(x+1)(x-5))
Use implicit differentiation to find an equation of the line tangent to the curve sin(x+y)=2x-y at...
Solve. 1. 3cosA+4=0 2. tan2A-3=0 2a. what quadrants can A be in?
1.) A colony of bacteria grows in a controlled environment according to the function Q(t)=12000(1.015)^t ,...
p(x)= 3x4+7x3- 40x2- 134x- 40 find all real zeros
Find the vertical asymptotes, horizontal asymptote, and x and y intercepts of the following function and...
A survey questioned 1000 people regarding raising the legal drinking age from 18 to 21. Of...
A BB is shot from a BB gun at a rate of 205mph at an angle...
In 19501950, there were 242 comma 028242,028 immigrants admitted to a country. In 20062006, the number...
At a point on the ground 24ft from the base of a tree, the distance to...
A baseball coach bought 2 hats, 5 shirts, and 4 pairs of pants for $129. His...
In your own words, describe a method for how to double check your solution to problem...
Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.) Initial...
sin8(x) using power reducing formulas
A once-popular children's doll is slowly declining in popularity. The quartic function f(x)=0.002x4+0.025x3-0.364x2-7.243x+86.993, where x is...
Solve the equation by completing the square. (Enter your answers as a comma-separated list.) x2 =...
Solve the following equations algebraically. Be sure to check for extraneous solutions. A). (9^2x)(1/3)^(x+2) = 27(3^x)^-2...
Find the exact value of sin(2x) given that sinx=60/61, and x is in Quadrant II. I...
−6x+4y−5z= 19 −x−2y−4z=−9 −5x+y+4z=−10
Determine the exact solution 1) 12 + In(1+5x) = 9 2) 6In(3x) - 16 = 20...
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of...
Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 4, and zeros...
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer....
Worldwide quarterly sales of a brand of cell phones were approximately q = −p + 126...
Solve the integral of ((x^4)+(8x^2)+18)/((x^3)+(9x))dx
An investment grows at 24% compounded monthly. How many years will it take to do the...
Find the exact value of Sin (π/12) by using the double/half-angle formulas
A young couple needs $72,000 as a college fund for their two children. If they invest...
1.a triangular pasture has sides of length 375 feet, 250 feet, and300 feet.calculate the area of...
6. The XYZ corporation pension plan provides a lifetime annual income to its employees upon retirement...
Find the standard form of the equation of the parabola satisfying the given conditions. Focus: (0,28)...
Find the amplitude, period, and phase-shift. Use this information to graph the function over a full...
f(x) = (5)/(sqrt(4-x)), g(x)=x+4 1. find domain of f 2. domain of g 3. (f∘g)(x) 4....
If cos(x)=1/6 and x is in quadrant I, determine the exact value of each of the...
All Pre-Calculus students at a school were invited to go on a field trip that was...
A 8-inch tall sunflower is planted in a garden and the height of the sunflower increases...
Solve a. x + y + z = 2, x – y + z = 3, x...
Show the feasible region by shading of the following system of linear inequalities and show all...
An airplane leaves an airport and flies due west 150 miles and then 230 miles in...
Given m∠B = 81°47′, m∠A = 41°52′, and b = 3,579, find the remaining sides to...
Solve each inequality. 15. (x-3) (x-2)^2 > 0 17. (x-1) (x+2) (x-3) < 0
On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a...
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the...
Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an...
5. Find all of the solutions (in radians and exact) between −6 and 0 that satisfy...
sqrt(3)tan(theta)+1=0
The number of bacteria in a certain population increases according to a continuous exponential growth model,...
For the following exercises, find all exact solutions on [0, 2π) 23. sec(x)sin(x) − 2sin(x) =...
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