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Precalculus Questions
A marketing firm surveys driving habits; the researcher asks the respondents their gender (male, female), age...
Given that a polynomial function g has g(1)=-96, and has x-intercepts at x = -3 (multiplicity...
Part I If P(x) = 2x 4 - x 2 + 3x - 1, use synthetic...
Find the partial fraction decomposition of the following rational expression. 3x3 + 11x2 + 24x +...
Find the standard form of the equation of the ellipse with the given characteristics. Center: (3,...
The price of a product in a competitive market is $500. If the cost per unit...
The weight of potato chips in a small-size bag is stated to be 5 ounces. The...
Which of the following is a degenerate circle? x^2 + y^2 = 1 x+y = 2...
find the x and y intercepts of the function: f(x) = 2 | x + 2...
2. Let A be of dimension 3 × 4, B be of dimension 3 × 3,...
If angle lies in Quadrant I, name the quadrant in which the following angles lie : A) ...
Fine zw and z/w. Leave answer in polar form. z = 10(cos140 +i sin140) w=7(cos210+i sin210)
Calculate all possible values (3 - 2i)1/5
find the exact value of tan[arctan(1/2)+arccos(7/25)]
A rectangular field is to be enclosed by fencing. If 1200 feet of fencing is available,...
A box with an open top has a square base and four sides of equal height....
The marketing research department of a computer company used a large city to test market the...
asymptotes of f(x)=x^3-8/x^2-100
An unprepared student must take a 7 question multiple choice test that has 5 possible answers...
At what point in the first quadrant does the line with equation y = x 2+...
A tennis ball is struck from a position 28 feet behind the net of the court,...
A detective is called to the scene of a crime where a dead body has just...
50. Twin brothers, Collin and Cameron, get jobs immediately after graduating from college at the age...
A graphing calculator is recommended. In this problem you are asked to find a function that...
A 20-year-old female purchases a 1-year life insurance policy worth $250,000. The insurance company determines that...
Solve this system of equations −2x−3y=−17 −3x+2y=−6 One solution: No solution Infinite number of solutions
Proof that: cosh 2x = (1 + tanh^2 x)/ (1 - tanh^2 x)
x -1 1 2 3 4 y 1 2 2 4 4 is the table a...
Give the starting value a , the growth factor b , the percent growth rate r...
f(x)= -6/x A.) Find average rate with Intervals 1 to 2, 1 to 1.5, and 1...
Newlyweds Nick and Dana each week work two part-time jobs in order to make ends meet...
Question: Show that the midpoint of the sides of any rectangle are the verticles of a...
if sin x = 7/8 , x in quadrant I, then find (without finding x) sin(2x)=...
Suppose theta is an acute angle in a right triangle. Given tan(\theta )=(3)/(5), evaluate:1-sin^(2)(\theta ).
Assume α is opposite side a, β is opposite side b, and γ is opposite side...
1. Let f(x)=x2−9 and g(x)=15−x. Perform the composition or operation indicated. (fg)(−8)= 2. Let f(x)=x2−8 and...
A tissue paper box must have a volume of 144 ??3 and two of the vertical...
26. The marginal cost for a product is: MC = 3X +20; its; marginal revenue is...
Use the rational zeros theorem to find all real zeros. 3x3 - 3x2 - 11x -...
After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21...
A farmer wants to enclose a rectangular field by a fence and divide it into 2...
Find the equations for the lines: a.) Through the point (3,2) parallel to x-3y=4 b.) Through...
A car's tire has a circumference of 48 inches. A piece of rock has gotten stuck...
determine whether function is odd even or neither f(x)=x^8+x^5
complete the square, so you can rewrite it in vertex form. Can you please also write...
You obtain a 90-day payday loan for $350.00. The costs for the loan include $59.50 in...
The angle of elevation from a certain point on the ground to the top of a...
Find the reference angle, the quadrant of the terminal side, and the sine and cosine of...
Solve ΔABC. (Round your answer for b to one decimal place. Round your answers for α...
Use limits to find the derivative. f(x)= (x-3)/(x^2+1)
The angle of depression from the top of a building to a fountain is 38°. The...
A pilot flies in a straight path for 1 hour and 30 min. She then makes...
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures...
El area de un triangulo rectangulo es 192 pulgadas cuadradas. Halle la longitud de sus lados...
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...
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