Crow

This page lists questions and answers that were posted by visitors named Crow.

Questions

The following questions were asked by visitors named Crow.

A helium-4 atom falls from a height h into a tank of gaseous helium atoms at 300 K. What is h in meters if the temperature of the helium atoms remains at 300 K after the falling atom enters the tank? Details and assumptions The acceleration of gravity is...
12 years ago
A plane flies horizontally at constant ground speed v=720km/h. The pilot is informed by an air traffic controller that he must immediately change his direction of flight while keeping the same altitude. The pilot performs a turning maneuver by rolling the...
12 years ago
Let f(x)=x2−1. How many distinct real roots are there to f(f(f(x)))=0?
12 years ago
Let f(x)=cos(pi*x/3) g(x)=1^x+(−1)^x h(x)=f(x)⋅g(x) where x is a positive integer. Given that h(x) has a range of exactly 3 different values: a, b and c, what is the value of a^2+b^2+c^2?
12 years ago
If z is a non-real complex number and z^2−26z is a real number, what is the value of z+z¯? z¯ denotes the conjugate of the complex number z.
12 years ago
Given that a and b are real numbers such that the follwoing quadratic equation x^2+(a+6i)x+b+12i=0 has a repeated root, what is the value of a−b?
12 years ago
1+(2/i)+(3/i^2)+(4/i^3)+⋯+(n/i^(n−1))=29+28i what is the value of n? n is positive value
12 years ago
Suppose x and y are real numbers satisfying x(x+i)+y(y+i)−6(8+i)=0. What is the value of x^3+y^3?
12 years ago
Given that the quadratic polynomial f(x)=3x^2+ax+b has real coefficients and f(x)=0 has a complex root 8+5i, what is the value of a+b?
12 years ago
a and b are integers such that the polynomial f(x)=x^4−4x^3−8x^2+ax+b has 1+2i as a solution to f(x)=0. What is the value of 10a+b?
12 years ago
A polynomial function f(x) has degree 6 and has real coefficients. It is given that 3, 2, 11−3i, and 11+28i are roots of f(x). What is the sum of all the roots of f(x)?
12 years ago
In polar coordinates, the graph r=sin(θ)/cos^2(θ) represents the function y=(a_n)*x^n+(a_(n−1))*x^(n−1)+…+a_0 in Cartesian coordinates, where n is a positive integer and (a_i) are real numbers. What is the value of n?
12 years ago
Given w=2+2i and v=−5√3+5i, vw^2 can be expressed as r*(cos(α∘)+i*sin(α∘)), where r is a real number and 0≤α≤360. What is the value of r+α?
12 years ago
Let z be a complex number such that z=2(cos3∘+icos87∘). Then z^6 can be expressed as r(sinα∘+icosα∘), where r is a real number and 0≤α≤90. What is the value of r+α?
12 years ago

Answers

The following answers were posted by visitors named Crow.