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The polynomial has zeros with multiplicities x=1 (multiplicity 2), x=3 (multiplicity 1) and x=-1 (multiplicity 2) and f(-3) = 10. Determine factored form of polynomial and draw it.
Determine the composition and its domain f(g(h(x))) if f(x) = 3x-1, g(x) = 2/x, h(x) = x-1/x. Write resulting function as the single simplified fraction.
Determine polar equation for ellipse with the focus at the pole and given polar coordinates as endpoints of its major axis. (3, pi/2) and (0.75, -pi/2).
Write the equation for total yield of all trees planted on the acre in terms of number of trees and their individual yields.
Use Decartes Rule of Signs to find out maximum number of positive and negative roots. Use synthetic division to determine and write all the complex zeros for f(x).
Hence surveyor moves 50 meters perpendicular to line AB to point C and measures that angle BCA 87 degrees. Determine distance between points A and B?
The disk which has been thrown upward (in feet) with time, t (in seconds), and has equation, d(t) = -6t^2+48t-5. Determine maximum height reached by disk and maximum point (vertex).
If rancher intends to use 120 feet of fencing, how can he enclose maximum area for goats? Find maximum area he can enclose.
Utilize theory of equations, specifically rational zeros theorem, to prove that some numbers involving radicals of integers are irrational.
As deg(Q(x)) = deg(N(x)) - deg(D(x)) when N(x)/D(x) is improper, left-right asymptote for rational function may be polynomial curve rather than line. Determine left-right asymptotes for given functi
The Chocolate Box Company is going to make open-topped boxes out of 4 × 17-inch rectangles of cardboard by cutting squares out of corners and folding up sides. Determine largest volume box it
Determine the end behavior of graph of function? Graph function on coordinate plane which is given on the answer sheet.
If area of triangle ABC is 14 square meters, with a = 20 m and b = 8 m, determine all possible measures for angle C. C = 2.01° or C = 177.99°.
The length of distance from ground to bottom of the window is 8 feet. The ramp from ground to bottom of window has the angle of elevation of 30°. Determine length of the ramp (in feet)?
Point A revolves counterclockwise around the point, making 11 complete rotations in 6 second. I A is 15 cm away from center of rotation, find linear velocity of A and angular velocity of A to neares
If one of the acute angles of triangle is 25degrees, determine the length of two shorter sides of triangle correct to nearest tenth of the centimeter.
In the right triangle assume the acute angle measures 35 degrees. If side opposite that angle is 15 inches long, find length of hypotenuse to nearest tenth of the inch?
The weather balloon is tethered to ground by the 3000 foot line. If line makes the angle with ground of 55 degrees, how high is balloon?
Let (a,b) x (c,d) = (ac-bd, bc+ad). Explain this operation as the function, algebraically and geometrically. Draw all points (a,b) which satisfy a/b = 3/4.
Then, find out the points on line \(ax+by=c\) for a,b,c positive which are closest to origin (0,0). Draw the picture to illustrate that answer is possible.
Observers in two towns A and B on either side of the 12,000 ft mountain estimate th angles of elevation between ground and top of mountain.
Problem the model for population growth is P(t)=P0e^kt where t is eztimted in years in this case. if population doubles every five years, how long it takes to triple, quadruple?
The ship sails due west from the harbor for 28 nautical miles. It then sails S66°W for another 18 nautical miles. How far is ship from harbor?
The angle of depression from the helicopter 3000 feet directly above the allied mortar station to the enemy supply depot is 13 degrees. How far is depot from mortar station?