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Precalculus Questions
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....
Given a zero of the polynomial, determine all other zeros (real and complex) and write the...
1). The magnitude and direction of two forces acting on an object are 90 pounds, S72°...
How long will it take an investment of $6000 to double if the investment earns interest...
The parents of a child have just come into a large inheritance of $128,000 and wish...
Suppose that 0 < | x-(-3) | < 2. Where does x have to be on...
1. Consider the functions ?(?) = √? + 1 , ?(?) = 2? 4−? , and...
Use Gaussian Elimination to solve and show all steps: 1. (x+4y=6) (1/2x+1/3y=1/2) 2. (x-2y+3z=7) (-3x+y+2z=-5) (2x+2y+z=3)
2secxcotx−2√3secx+cotx−√3=0 Solve
5. All the real zeros of the given polynomial are integers. Find the zeros. (Enter your...
Given f(x)=2x3-7x2+9x-3, use the remainder theorem to find f(-1)
find at least 5 different summation notations a) 6+8+10+12+....+32 b) 5+7+9+11+....+31
Water is draining from a large tank. After tmin, there are150000-7500t +t2 litres of water in...
If θ is in the interval [0, 2π) and cos(θ) = √ 2/2 , then θ...
Consider f(x) = (3x+4)/(2x-3) a) Show f(x) is 1-1 by showing that if f(a) = f(b),...
the verteces of an ellipse are V(0+/-3) and the foci are F(0,+/-2) find its equation.
The monthly demand for a certain brand of perfume is given by the demand equation p=100e^-0.0002x+150...
A person is running along a beach (assume flat ground, no incline) at a constant speed...
Solve the rational inequality: (3x-9)/(x+1) > 2. Show work (on your paper) using a table with...
A convertible and a minivan leave a highway junction at the same time. The convertible travels...
Find the complete factorization of P(x) = x^3-64 The answer I got was (x-4)(2-2i√3)(2+2i√3) but I'm...
A certain vehicle can accelerate from a standing start to a speed of v(t) = −0.27t^2...
Solve the following system of linear equations using the techniques discussed in this section. (If the...
if x= log (w) and y=log(z), what is log (wz^3) in terms of x and y.
A20) Given that f(x) is a cubic function with zeros at −2−2 and 2i−2, find an...
Find the angle theta between vectors u=(5,6) and v=(-8,7). Find a unit vector orthogonal to v.
sifferential equation. x(x+4y)y'=y(x-4y) find general solution.
A nuclear scientist has a sample of 100mg of a radioactive material. She monitors the amount...
A worker starting his shift at 7:00 AM will have produced Q(t)= -t^3+6*t^2+15*t units t hours...
You have $4000 with which to build a rectangular enclosure with fencing. The fencing material costs...
Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one...
Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 state the 2 vertices of...
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros...
Solve: log4(x+3) + log4(x+66)=3
For the following problem, do not include a graph. (a) For the parabola y=−2x^2+9x+1, find the...
A pilot flies in a straight path for 1 hour and 30 min. She then makes...
Lending institutions often charge fees for mortgages. One type of fee consists of closing costs. Closing...
Find an equation for the tangent line to the graph of the given function (-2,-1) f...
In a class at a major university, three tests are given during the semester. At the...
Compound Interest In Exercises 15 and 16, determine the principal that must be invested at rate...
Determine the first two zeroes of the function below, that occur to the right of the...
Find the center and radius of the circle with the equation x2 +12x=y−y2 −24.
Find the angle between the forces given the magnitude of their resultant. (Hint: Write force 1...
1. Answer: a. The average atmospheric pressure formula is P = 14.7e^-0.21x , P in lb/in^2...
Use any method to solve the system of nonlinear equations. Please show steps. Thank you. x2...
Given the rational function h(x) = (x^3 +5x^2-2x-24)/(x^2-9), find the following information a. Use your knowledge...
1.A circular arc of length 10 cm subtends the central angle θ on a circle with...
A rectangular enclosure will hold 3 different types of animals. Interior fences, parallel to one of...
a reflection telescope has parabolic mirror for which the distance from the vertex to the focus...
sin(x + 1) sin(x + 1) − sin(x + 2) sin(x) = sin2 (1)
Rewrite the function y = sin(x) + √3cos(x) in the form y = Asin(x + α),...
Write a cosine equation that would overlap the graph of y=sin(t). Write tan(θ) in terms of...
r(x)= x^2+4x+3 divided by (x-5)(x-2)(x+3) a. determine the domain of r(x) b. determine the zeros, vertical...
Find the angle θ (in radians and degrees) between the lines. (Let 0 ≤ θ <...
(b) Find the inverse and label intercepts and asymptotes: f(x) = (5x+2/7x-3)+4 &nb
Let g(x) = 8x5 − 102x4 + 357x3 + 189x2 − 1508x + 360 Given that...
To estimate the height of a building, two students find the angle of elevation from a...
The number of people who work at a tourist resort can be modelled by the equation:...
-2, 3, 2+i calculate a polynomial
Evaluate the following and write in standard form for a complex number (a + bi) a)...
PLEASE SOLVE ALL 8 QUESTIONS SHOWING STEP-BY-STEP SOLUTIONS. Solve for the unknown variable on the interval...
Let Fn denote the nth term of the Fibonacci Sequence. Show that Fn is less than...
A rectangular box with capacity 355cc is to be produced. The bottom and side of the...
Use the cofunction identities to find an angle theta that makes the statement true. 1) sin(...
A theatre can seat 500 people. For an upcoming production of Our Town, the price of...
1. On average, infant girls weigh 3.4 Kg at birth and gain 0.7 Kg each month...
. Consider 5-card hands from a standard 52-card deck of cards (and consider hands as sets,...
Determine the equation of the vertical asymptote and the equation of the slant asymptote of the...
SYSTEMS OF LINEAR EQUATIONS IN VARIOUS VARIABLES. A piggy bank contains 50 coins, all coins of...
Thefunction,?=?(?),representstheamountofsolidwastegeneratedbyUScities,inmillionsof tons, as a function of time, ?, in years since 1995. Given ?(2) = 227.78...
Juliet and Mercutio are moving at constant speeds in the xy-plane. They start moving at the...
A theater group made appearances in two cities. The hotel charge before tax in the second...
How does one change the graph of y = cot(x) to get y = cot(2x +...
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