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1. A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
2. Find the differential dw for w =ysin(x+z)
3. Find the equation of the plane tangent to z=-sin((pi)yx^2) at the point P =(1,1,0)
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
A binary message is sent over a noisy channel. The message is a sequence x1, x2, . . . , xn of n bits (xi 2 {0, 1}). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice vers..
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
Use the equation of least squares line to predict percentage
Sketch the Graph of y = cosx in the range -Pi
Use excel solver to find solution for LP problem A couple has agreed to attend a "Casino Night" as part of a fundraiser for the local hospital. They do not like to gamble because they believe that gambling is generally a losing proposition.
Probability : Bayes' Theorem, In a survey, it is found that 10 boys out of hundred are in favor of selecting their life partners themselves without any interference by their parents. Where as only 20 girls out of 500 hold this view.
Fitting of simple linear regression
A recent study reported that college students study for an average of four hours per day. You believe this figure is too large & you decide to conduct your own test. Find the p value & explain its meaning.
Find the solution to the given system for the given initial condition
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