Math Answers

Solve the initial value problem: d^2x/dt^2 - 6 dx/dt +9x =0, x(0) =6, X^. (0) =-1

Solve the following ordinary differential equations: i) dy/dx + 4xy = x, (2) d^2y/dx^2 + 4 dy/dx - 12 y =cos 2x

A website has on the average two hits per hour. Assuming a Poisson distribution for the number of hits per hour (X), calculate the probability that there are at most three hits.

If a and b represent the non-parallel segments of a parallelogram, express the diagonal vectors in terms of a and b

Find the area bounded by a^2x^2=a^2x^2-x^4.

The Center for Information and Research on Civic Learning and Engagement (CIRCLE), an independent youth research organization, reported that 49% of all U.S. adults age 18 to 29 voted in the 2012 presidential election. We believe that a higher proportion of community college students plan to vote in the 2016 presidential election.

H0: 49% of community college students plan to vote in the next presidential election.

Ha: More than 49% of community college students plan to vote in the next presidential election.

We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is approximately 0.01.

At a significance level of 0.05, what can we conclude?

Determine the square of the arc element for the curvilinear coordinate system (u,v,w) whose coordinates are related to the Cartesian coordinates as follows: x = 3u+v-w, y=u +2v+2w, z = 2u - v-w.

Obtain the curl of the following vector field:: A ^vector = (rho ^3 ×e^cap subscript p + rho ×z×e^cap subscript phi + rho ×z ×sin phi e^cap subscript z)

Show that for any scalar field phi: nabla^vector ×(phi nnabla^vector phi) =00

Evaluate (nabla/del ^vector) (r^3)(r^vector).