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You are given that sin(A)=−7/25, with A in Quadrant III, and cos(B)=63/65, with B in Quadrant...
Q1). Find (without using a calculator) the absolute extreme values of the function on the given...
1)Write a system of equations to solve the problem. A local theatre sells out for their...
Use the simplex method to solve the maximum problem. Maximize subject to z = 5x +...
Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at...
An inheritance of $25,00,000 is invested at 5% compounded monthly. If $25000 is withdrawn at the...
Given two terms in an arithmetic sequence find the common difference, the 52nd term, and the...
1. How could you use the unit circle to determine the tangent of a given angle...
1.Solve sin(x)=−0.61sin(x)=-0.61 on 0≤x<2π0≤x<2πThere are two solutions, A and B, with A < B 2.Solve 5cos(5x)=25cos(5x)=2...
A small radio transmitter broadcasts in a 39 mile radius. If you drive along a straight...
Find an angle γ in degrees in the triangle for which α = 30 degrees, b...
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions....
Solve 8cos2(x)+2cos(x)−3=08cos2(x)+2cos(x)-3=0 for all solutions 0≤x<2π0≤x<2π and Solve 6sin2(w)−cos(w)−5=06sin2(w)-cos(w)-5=0 for all solutions 0≤w<2π0≤w<2π
Find the equation of the line through (8,−6) that is perpendicular to the line y=−x7−5.
The count in a bacteria culture was 600 after 10 minutes and 2000 after 30 minutes....
5. [20 pts] For the function ?(?) = (4?−8)/(?^2−?−6) answer the following to sketch the graph....
In triangle ABC, side a across from Angle A is 10.6 inches, side c across from...
In 1993, the moose population in a park was measured to be 3100. By 1996, the...
Solve csc(2x)−4=0csc(2x)-4=0 for the four smallest positive solutions
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 254 km south and 243...
determine whether the equation defines y as a function of x -9x + x2 - 97...
Suppose we have an investment that earns interest compounded continuously and it takes 12 years for...
Find the range f(x)=x^3-3 with domain[-1,2]
Solve the following system of linear equations: 2x+y+z=1 3x+2y+z=2 2x+y+2z=-1
Write the equation of the ellipse that has one focus at the point (3,5), one major...
2. Solve the system of equations in three variables. 2x + y − 2z = −1...
use a version of the double angle formula to find sin(7Pi/24) please go step by step...
To estimate the height of a building, two students find the angle of elevation from a...
A block is set in motion hanging from a spring and oscillates about it's resting position...
Find the values of the trigonometric functions of t from the given information. sin(t) = −...
Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...
graph the function over a one-period interval. Graph the basic function with a dotted line, then...
Solve 6cos2(t)+sin(t)−4=06cos2(t)+sin(t)-4=0 for all solutions 0≤t<2π0≤t<2π
Greg deposited $700 in his new savings account with the annual interest rate of 8% on...
Using DeMoivre's theorem, calculate z^4, when z = 1 - i.
Given P(x)=3x^5−x^4+88x^3−48x^2−720^x−432, and that 6i is a zero, write P in factored form (as a product...
flying with the wind, a light aircraft traveled 260 miles in 2 hours. the aircraft then...
Explain in your own words why polar coordinates seem better suited for circular-type functions, while the...
An airline sells all the tickets for a certain route at the same price. If it...
Given the polynomial f(x) = 3x^4 -7x^3 -3x^2 + 17x + 10, and given the zeros...
Be f(x)=(x^2+9)/(|x|+3).The average rate of change of f(x) in the interval [-1,-8] is: Find the equation...
24. Given MR = 200-4X, and MC = 50 + 2X, and the total cost of...
convert each equation to standard form by completing the square on x and y. Then graph...
tan(t)=1/tan(t) in the interval 0≤t≤2π
Research shows that the radioactive isotope Plutonium-238 has a half-life of 87.7 years Use the following...
Zachary can spend no more than $88 per day to rent a car. A car rents...
A bullet is fired into the air with an initial velocity of 1,400 feet per second...
The cost of treating waste by removing PCPs goes up rapidly as the quantity of PCPs...
Show that the polynomial P(x) = x^3-x-2 does not have any rational zeros. Please show work!
PLEASE SHOW ALL STEPS. How many liters of a 70% alcohol solution must be added to...
Find all solutions of the equation cos(2x+pi/4)=cos(x) in the interval [0,2pi)
solve the triangle with A=40 degrees, B=74 degrees and a=10. (find all the missing pieces)
A theater group made appearances in two cities. The hotel charge before tax in the second...
1- A homeowner has a triangular-shaped backyard. Two of the three sides measure 60 feet and...
A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1...
A delivery truck is purchased new for $58,000. Write a linear function of the form y...
Solve the system of linear equations. 3x-3y+6z=12 x+2y-z=10 5x-8y+13z=14
Set up the augmented matrix that describes the situation, and solve for the desired solution. At...
If an apple grower knows that on a field with 50 apple trees per acre each...
Solve the following: a) 2cos2(4x)+5cos(4x)+2=0 b) arctan(3x+3)= π/4 c) 21+sin2 (x) = 4sin(x) d) ln(x +...
The focus of a parabola opening upwards is at the point (-1,7). The point (11,12) is...
A projectile is thrown straight upward, and its height above the ground in meters as a...
A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a...
A certain population of bacteria contains 2320 individuals at noon on Monday and grows to 2350...
Consider the function f (x) = x/(2x+1)*2 . (i) Find the domain of this function. (Start...
Chasity is considering job offers from two companies. Company A offered her a starting salary of...
The average weight of a male child's brain is 970 grams at age 1 and 1270...
Use Gaussian elimination to find the complete solution to the following system of equations, or show...
The demand and supply functions for a certain product are given by p=150-0.5q and p=0.002q2+1.5, where...
Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated through...
1) In the interval [0,2π) find all the solutions possible (in radians ) : a) sin(x)=...
Explain how cosine is defined in the context of a right triangle. Include a labeled diagram...
Using Binomial Theorem expand and simplify (3√ x - 2/x)5
A total of $44,000 is invested in two municipal bonds that pay 5.75% and 7.25% simple...
Use Gaussian elimination to find the complete solution to the following system of equations, or show...
You are on a mountain and see three other mountain tops that create a polygonal valley....
A child enters a carousel that takes one minute to revolve once around. The child enters...
f(x)= 4x-2+3 Include on the graph the key point (as an ordered pair), the equation of...
Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b)...
. Find a cubic function f(x) with roots x = 4, x = 1, x =...
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