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Precalculus Questions
A cruise ship maintains a speed of 16 knots (nautical miles per hour) sailing from San...
Graph x=sqrt(t) +4; y= sqrt(t) -4; t>=0
This exercise emphasizes the "mechanical aspects" of working with linear equations. Find the equation of a...
Add the vectors A and B to find the resultant vector C A: 124miles at 5...
find the exact value of tan (-15) using the sum/difference identities
Given P(x)=3x^5−x^4+88x^3−48x^2−720x−432, and that 6i is a zero, write P in factored form (as a product...
1. Use the given conditions to find the exact value of the expression. sin(α) = -5/3,...
5.) A computer software company models the profit on its lastest video game using the relation...
Find the standard form of the equation of the parabola satisfying the given conditions. Vertex: (1,−2);...
a circle has the equation: (x+5)2 + (y-3)2 = 37. What is the equation of the...
A plane delivers two types of cargo between two destinations. Each crate of cargo I is...
Solve the following word problem by setting up a system of three equations in three unknowns....
1- If ?(?)=3?5?+29?5?+1 find the inverse function. 2- State the domain of the function ?(?)=8?−94? 3-...
fx =2x+5/x+3 what is the domain? what is the vertical asymoptote? what is the horizontal asymoptote?...
find a formula for sinh3x that only uses sinhx Hint: sinh3x = sinh(2x + x)
Find an equation for the ellipse that has its center at the origin and satisfies the...
1. Given f(x) = x2 − 3x − 2 and g(x) = √x − 2, calculate...
QUESTION 3 You and a friend go to Taco Bell for lunch. You order three soft...
Determine the center and radius of the following circle equation: x^2 + y^2 - 12x +...
Write the augmented matrix of the given system of equations. x + y - z =...
Lisa and Sarah decided to meet at a park bench near both of their homes. Lisa...
A dog-walker is walking three dogs fastened to separate leashes that meet in a connective hub,...
Explain why a linear model would or would not be appropriate to model that situation. In...
5. Part I If f(x) = 2x 2 - 3x + 1, find f(3) - f(2)....
Use Demoivre's Theorem to find (2 + 5i) to the 3rd power. Use degrees mode in...
1. Let |a2| = |a6| and a3=1, find an 2. 4. consecutive terms whose sum =...
the interior angles of a triangle measure 120, 40, 20 degrees. the longest side of the...
Positive numbers, where x does not equal 1 and y does not equal 1, satisfy the...
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions....
1) find the inverse of the following function and specify the range where the inverse is...
An open box is to be made from a 16-inch by 30-inch piece of cardboard by...
1. Given the following quadratic function: f(x)=4x2-12x+5 a. Use the method of completing the square to...
f(x)= log2(-x+2)-1, find the domain, range, asymptote, x and y intercept for f and evaluate at...
Water is flowing from a major broken water main at the intersection of two streets. The...
(a) Rewrite the expression as an algebraic expression in x tan(sin-1(x)) (b) Find sin(2x), cos(2x) and...
Create one function that satisfies all the following conditions and explain your choices: The instantaneous rate...
A geometric sequence has the following two terms: a4=(375/8) and a7=(46875/64) Write the explicit formula defining...
Answer whether the following are True or False and why it is either True or False....
Do NOT use any synthetic process on this project! Find the following using: f(x) = 0.0008x5...
Let A and B be any two matrices such that B is the inverse of A....
Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (If...
Using the Simplex Method, find the maximum value for the system: (Chapter 6.2) Maximize: P =...
Given: f(x) = x^3 + 3x^2 - 9x + 10. (Note: x^3 means x-cubed, and x^2...
3. Write the matrix in row-echelon form: 1 2 -1 3 3 7 -5 14 -2...
The focus of a parabola opening to the right is at the point (-1,7). The point...
An object is pulled 15 feet across a floor, using a force of 60 pounds. The...
what are the unit digits of 28^3944
Given that f(x) is a cubic function with zeros at −7 and −4i−1 , find an...
Massachusetts has a flat income tax with a rate of 5.4%. Determine how much state income...
Find the tangent line equation to the curve r=4-3sinx when x=pi
Solve for x. Discard extraneous solutions. Please show the steps! log(x) = 2 − log(x −...
A.) Find the range of f(x) = 2x+1/x-3 show all workings. B.) Find the range f(x)=3x-2/x-5...
Newjet Inc. manufactures two types of printers, an inkjet printer and a laser printer. The company...
1. Graph of the function and label any intercepts and asymptotes. R(x)= x+5/x(x-3)
Two pumps working together can empty a swimming pool in 4 hours. Working alone, pump A...
A ferris wheel is 40 meters in diameter and boarded from a platform that is 5...
Find the requested value and tell what the other numbers represent. (a) Find r: 250 =...
Find cot(sin^−1 (1/6))
$2000 is deposited with an annual interest of 2% compounded continuously. (a) Find the balance of...
Provethe following identities : 1) 1/1–cosx – 1/1+cosx = 2sinx tanx + 2cos2x / sinxtanx
Let the function f and g be defined as f(x) = x/ x − 1 and...
How long will it take a principal investment of $6000 to grow to $12,000 if the...
If a publisher charges $50 for a textbook, she will sell 8000 copies. For each $1...
The half-life of radioactive strontium-90 is 29 years. In 1960, radioactive strontium-90 was released into the...
*THIS IS URGENT* If a fair coin is tossed 5 times, what is the probability, rounded...
Find the equation for an ellipse with center at (0,0), focus at (0,1), and vertex at...
George and Paula are running around a circular track. George starts at the westernmost point of...
Find a polynomial function with zeros x = 5 with multiplicity 1 and x = -1...
Marginal Revenue for an Apartment Complex Lynbrook West, an apartment complex, has 100 two-bedroom units. The...
Find all the fourth roots of w. Express the answers in polar form. w = 2...
Expand (3x + 2y)5 using Pascal’s triangle. 244x5 + 810x4y + 1080x3y2+ 720x2y3+ 240xy4 + 32y5...
part 1: for the arithmetic sequence where a2=66 and a5 =81, Find a formula for an,...
Assume that the rate that a snowball melts is proportional to its surface area. If one...
In 1701, Issac Newton proved his Law of Cooling: T(t) =Aekt +Ta, which is an exponential...
An investment of $9000 grows to $10,299.02 in 4 years. Find the annual rate of return...
Find all angles θ between 0° and 180° satisfying the given equation. Round your answer to...
Find the a, b, c so that y = ax2 + bx + c goes through...
solve the inequality. x+15 -------- <. 3 x+9
The population, P, of a small town is modelled by the function P(t)=-2t3+55t2+15t+22000 , where t=0...
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) g(t) = 5t2...
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