Math Answers

How do you solve the partial differential equation (3D^² +10DD^1+3D ^1^2) z = e^x-y?

What are the real and imaginary parts of CosZ?

What is the Laplace transform of t^3 + cos3t-e^-3t?

Using Cauchy-Riemann equations, how do you show that |z|^2 is not analytic?

How do you obtain a partial differential equation by eliminating arbitrary function from z=f (x+iy) + g (x-iy)?

Five hundred children participated in a field demonstration. Their heights averaged 110 cm

with a standard deviation of 6 cm,

a. What is the probability that a child, picked at random, has a height greater than 116 cm?

b. What is the probability that the height of a child, picked at random, is less that 104 cm?

c. How many children belong to the upper 15% of the group?

This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $126,323 left to pay on your loan. Your house is now valued at $200,000. How much of the original loan have you paid off?

There are 5 defective light bulbs in a bin containing 60 light bulbs.How many ways can you choose at least 4 defective light bulbs at random

For each of the following sets, determine whether{ 2} is an element of that set. a) {x ∈ R | x is an integer greater than 1} b) {x ∈ R | x is the square of an integer} c) {2,{2}} d) {{2},{{2}}} e) {{2},{2,{2}}} f ) {{{2}}}

What is the probability that a market inspector will discover, at least two, but fewer than four violations of the public health code?