Math Answers

Solve the following ODE using power series method. (x+2)y"+xy'-y=0

Show that the function u(x,y)=arc tan(y/x) is a solution of 2 Dimensional Laplace equation

x = 2t – 1
y = t2 + 5, -4 ≤ t ≤ 4

Compute the probability to pick a 2 digit number greater than 19, and 4 digit number where digits can't be repeated

Find the sum of the 5th roots of unity?

Draw the venn diagram of sets A, B and C where A is contained in (subset equal to) B , A intersection B doesn't equal to phi (empty set) , B intersection C = phi ( empty set) . What is the universal set you have chosen? Justify your choice of sets in the diagram?

Find the interval if following function for f(x)=e^x(2-3x-x^3)-6/e is decreasing

A ̅=5i+7j+8k

B ̅= 5i+2j-5k


Use your understanding of vector analysis to complete the following:

Calculate a resultant vector which would theoretically represent a single force that could replace the two force vectors A and B while giving the same support to the structure.

Calculate the modulus of all three forces.
Determine the value of the dot-product (scalar product) of vectors A and B
Calculate the angle between the vectors A and B
Determine the directional cosine angles of the resultant vector with respect to the x, y and z axes.

The probability that a student gets admission to a prestigious college is 0.3. If 5 students from the same school apply, what is the probability that at most 2 are accepted?

Express the vector field vector F=xzi+(x^2+ y^2) j+( x/z)k in cylindrical polar coordinates.