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Precalculus Questions
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) =...
The short term demand for a product can be approximated by q=D(p) = 200(300−p^2)where p represents...
Quad function y=x2+4 x+9. and Quad function y=x2−3 x−10 find exect real zero or zeroes
I like my cup of tea to be at 145 degrees F when I drink it....
An observer, who is standing between the towers, measures the angle of elevation to the top...
Given a similar interest rate and time: Would you prefer a simple interest or compound interest...
Solve the triangle. a=10, b=10, m(C)=60°
A plane is heading due north and climbing at the rate of 100 km/hr. If its...
Brandon has 30 minutes to complete an exam. There are 9 multiple choice questions worth 3...
Given cot t = 32 and cos t < 0. Using trigonometric identities/identities based on unit...
Write 100 words of comedic moments between the characters of a story related to mathematics. Use...
Suppose $40,000 is invested in an account that returns 7% per year compounded continuously. (Round your...
4?^2 − 9?^2 + 16? − 54? = 29 find the center of the hyperbola and...
During a gold rush in the 1800's, the population of a boom town increased exponentially. The...
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions....
y=0.1sin0.4(x-pi/6) Amplitude is 0.1 phase shift is= pi/6 how come period is 5pi I know equation...
The table below shows some input-output pairs for an exponential function ff. xx 0 1 2...
An equation of a hyperbola is given. x^2/ 9 - y^2//49=1 (a) Find the vertices, foci,...
In a Student Activity Participation Study (SAPS) survey, 30 engineering majors, 25 business majors, 20 science...
Graph the piecewise function. Be sure that you correctly use the open and closed dots. g(x)...
Solve the given equation 2 cos^2 theta+sin theta =1 cos theta cos 20 + sin theta...
For which value(s) of C does the following system have a solution? What is the solution? a. x...
standard triangle notation a=12 , b=63degrees , c= 65degrees solve each triangle
For the problem f(x) = x / x-2 Use interval notation to determine where f(x) <0...
Use Newton’s method to estimate the value of e. Use X0=2 and find x4 Hint: e=x...
5000 dollars is invested in a bank account at an interest rate of 7 percent per...
A digital delay device echoes an input signal by repeating it a fixed length of time...
For the ellipse, write the coordinates of the foci. 25x^2-144y^2-500x-288y-1244=0 X^2+y^2-18x-16y-296=0 625x^2+49y^2-3750x+392y-24216=0 Y^2-20x+4y+164=0
Use the Rational Root Theorem to find all roots of f(x) = 4x 3 − 3x...
1. A function f : Z → Z is defined by f(n) = 3n − 9....
A commodity has a demand function modeled by p = 103 − 0.5x and a total...
solve the equation in interval [0,2pi) for 3sin^2delta-7sindelta+4=0
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