The weight of an object varies inversely as the square of its distance from the center of the Earth. If an object at sea level (3978 mi from the center of the earth) weighs 220 lb, find its weight...
The weight of an object varies inversely as the square of its distance from the center of the Earth. If an object at sea level (3978 mi from the center of the earth) weighs 220 lb, find its weight...
The volume of wood V in a tree varies jointly as the height h and the square of the girth g. (girth is the distance around the tree.) If the volume of a redwood tree is 216 m^3 when the height is...
One real world application of a rational function is the Laffer Curve, as made famous by economist Arthur Laffer. According to Laffer, the elasticity of taxable income for the government changes in...
Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a decimal to the nearest tenth.
Use the boundedness theorem to show that f(x)=x^5-2x^3-x+2 has no real zero less than -3 and no real zero greater than 3
Explain how the graph of f(x)=(-2)/(x-3)^2 can be obtained from the graph of y=1/x^2 by means of translations, compressions, expansions, or reflections
Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a decimal to the nearest tenth.
develop your own real world equation using words for the variables. Then, translate your equation into polynomials and share both versions of the equation
Find all the complex zeros of f(x)=5x^4-4x^3+19x^2-16x-4. Give exact values
Use Descartes' rule of signs to determine the possible number of positive real zeros and the negative real zeros for f(x)=x^4-9x^2-6x+4
Use synthetic division to decide whether k=2, k=-1, or k=0 are zeros of f(x)=x^4-6x^3+x^2+24x-20. If not, give the value of f(k)
Height of a Projectile. A stone is thrown directly upward from a height of 30ft with an initial velocity of 60ft/sec. The height of the stone t seconds after it has been thrown is given by the function s(t)=-16t^2+60t+30...
Given f(x)=x^3+2x^2-13x+10, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor f(x).
Factor f(x)=x^4-x^3-7x^2+x+6 into linear factors given that 1 is a zero of f(x)
Use synthetic division to decide whether k=2, k=-1, or k=0 are zeros of f(x)=x^4-6x^3+x^2+24x-20. If not, give the value of f(k)