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Precalculus Questions
The population of a country on January 1, 2000, is 16.8 million and on January 1,...
The cells in a culture of bacteria conform to uninhibited growth. Suppose there are 5,000 cells...
list all real zeros for 2x^4-13x^3+7x^2+37x+15
The Johnsons have accumulated a nest egg of $50,000 that they intend to use as a...
1. Write the explicit rules for the following sequences: A) 1/2, 2/5, 3/10, 4/17, 5/26, 6/37,........
Jacksonville, Florida, and Charlotte, North Carolina, lie approximately on the same meridian. Jacksonville has a latitude...
Consider the following expression: 3sinh(x) - 2cosh(x) [a] Write the expression in terms of exponential functions,...
Earthquakes of magnitude 7.0 or greater can cause buildings with metal structures to collapse. On November...
Question 1a Consider the polynomial function P(x) = x3+x2−20x. Sketch a graph of y = P(x)...
10a: sin(pi/6) = ? 10b: sin(5pi/6) = ? 10c: sin (7pi/6) = ? 10d: sin(11pi/6) =...
Prove the identity 1) sin(u+v)/cos(u)cos(v)=tan(u)+tan(v) 2) sin(u+v)+sin(u-v)=2sin(u)cos(v) 3) (sin(theta)+cos(theta))^2=1+sin(2theta)
Three research departments have 12,15, and 18 members, respectively. If each department is to select a...
The size P of a certain insect population at time t (in days) obeys the function...
The following statement is FALSE: If lim x!6 [f(x)g(x)] exists, then the limit must be f(6)g(6)....
Find the domain of the function a) f(x) = 1 / x-3 b) f(x) = 1...
The parents of a child have just come into a large inheritance of $128,000 and wish...
If the range of y = f(x) is y is less than or equal to 2,...
Los primeros cuatro elementos de la sucesion aritmetica que satisface a7=9,a14=37 son:
12. find all complex solutions x^4 + 16=0
Find all the principle 4th roots of 8-(8sqrt(3i))
Find the slope of each side of the triangle and use the slopes to find the...
a. find all possible EXACT solutions for 2sin (3x) + sqrt3 = 0 b. find all...
What is the standard form equation of the circle if the center is (-16,1) and the...
1) Completely simplify 2) Write the expression cot( in terms of x and y only 3)...
If z=4e^(i pi/4) and w=3e^(i pi/3) find a) zw b) z/w c) z^3 d) The complex...
Question 4, In 2011, the population of a colony is 17000, and is decreasing exponentially at...
Create a binomial probability distribution for rolling an even number that is greater than 7 on...
The population of a town was 2350 in 1980. In 2000, the population was 2550. Find...
Two polynomials P and D are given. Use either synthetic or long division to divide P(x)...
The bell tower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist...
5. James wants to invest $85000. He can invest the money at 7.3% with interest compound...
Find all solutions to 2 cos t = 0.35 for 0 ≤ t ≤ 2π Give...
in exercises 47-50, find the polynomial function f with real coefficients that has the given degree,...
solve each equation. When needed write the exact answer with natural logs and then approximate the...
1 point) Find the slope of the tangent line to the curve 3sin(x)+6cos(y)−5sin(x)cos(y)+x=5π3sin(x)+6cos(y)−5sin(x)cos(y)+x=5π at the point...
Two particles are moving in the xy-plane. They move along straight lines at a constant speed....
There are two ways to find the unknown coefficients of partial fraction decomposition. The second method...
The following table shows the average price of a two-bedroom apartment in uptown New York City...
A thermometer reading 8 degreesC is brought into a room with a constant temperature of 38...
The grocery store we use does not mark prices on its goods. My wife went to...
At the north campus of a performing arts school, 20% of the students are music majors....
Assume sin(θ)=19/36 where π2<θ<π, and cos(ϕ)=−11/38 where π<ϕ<3π/2. Use sum or difference formula to compute: sin(θ...
Maximum Area: Kevin wants to fence a garden using 14 rails of 8-foot each that he...
A popular sports drink can be made by adding 15 grams of powdered drink mix to...
Solve the 3x3 system. x1-x2+x3=3 -2x1+3x2+2x3=7 3x1-3x2+2x3=6
Question 1: Two cars start moving from the same point. one travels south at 48 mi/h...
1) Write nth term suggested by pattern. 1, 1/4, 1/16, 1/64, ... 2) Find first term...
Complete the square on x to find the vertex of the parabola given by g(x). Describe...
1. Answer the following. a. Find the area of a triangle that has sides of lengths...
a) Find the time it will take for an investment of $ 17,000 to accumulate to...
1.) Find the standard form of the equation of the parabola with the given characteristic(s) and...
Name the Quadrant 1. cot q = -3 , tan q = 2. cot q =...
Find the interest earned on $25000.00 invested for 6 years at 4.5% interest compounded as follows....
Convert the following Cartesian equations to polar equations: a.) x^2+y^2=64 b.) x^2+y^2=-2y Greatly appreciated!
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled...
4) A furniture manufacturing company manufactures tables and chairs. The relevant manufacturing data are given in...
Find all numbers x satisfying the given equation. |x-3| + |x-4| = 1/2 Please explain step...
Ryan fires a missile off a cliff toward Metropolis at a height of 240 feet above...
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer....
Find the rational zeros of the function h(t)=t^3+8t^2+13t+6
Solve the system of equations. Find all solutions. 5x + 7y = 31 x 2 +...
how can I find the domain, x and y intercepts of this function? f(x) = x2...
15. Find all the real zeros of the polynomial. Use the quadratic formula if necessary, as...
1. solve for x and graph solution on a real number line |150-20x| ≤10 2. solve...
Consider the following system of equations. 3x − 2y = b1 4x + 3y = b2...
Find the exact value sin ?(2 arctan(−a/b)+arccos(a))?,where a>0, b>0, and a2+b2 =1.
Juanita and Juanito started climbing from the same location at the same time. Juanito climbed to...
Suppose the manufacturer supplies 1000 units if the wholesale price is $15 each but will supply...
Use vectors to find the interior angles of the triangle given the following sets of vertices....
1. Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all...
1. Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x2 + 13x...
1.Given cos(x) = 1/6 with 3π/2 < x < 2π. Find the value of cos(2x). 2....
What is the reference angle to 240o and A 45o-45o-90o triangle has a side length of...
Let f(x) = 2a^(2x) for some positive constant a. Express f(kx+2) in terms of f(x) if...
Having so much hard time solving this question... Original Question is "Show that the cylinder {(x,y,z)...
Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0,-5),...
A store has two types of animal feed available. Type A contains 9 pounds of oats...
Arnold hit a golf ball with an initial velocity of 150 feet per second at an...
A tunnel under a highway overpass has the shape of the upper half of an ellipse,...
1. The movement of a ball is modelled by the function y= 3sin(pi/2 x ) +7....
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