Information about ellipse

Transform each equation to standard form. Then find the center, foci, major and minor axes, and ends of each latus rectum. Draw the curve

  Write an equation of the tangent line to the graph

Write an equation of the tangent line to the graph of a differentiable function (y as a function of x) which satisfies the relation x2 + 4xy + y2 = 13 at the point (2,1)

  Find the velocity and acceleration vectors

Given a position vector r(t) = Find the velocity and acceleration vectors and the speed at time t. Find the arc length of the curve given by r(t) = a cos (ωt) i + a sin(ωt)j. between t = 0 and t = π/3.

  Examine normal random variable with a mean

At a bottling plant, two machines are used to ll 500 ml bottles of pop. The amount of pop put into each bottle by Machine A is a normal random variable.

  Make the rental cost for company

A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $60 a day plus $0.30 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A a better deal than Compan..

  Find the exact values

  Equation of parabola from its focus

A satellite dish with a parabolic cross section is 6 feet in diameter. the receiver is located on the center axis, 1 foot from the base of the dish. How deep is the dish at its center?

  Find v for the maximum n

The relative number N of gas molecules in a container that are moving at a velocity v can be shown to be where a and b are constants. Find v for the maximum N.

  Find the lengths of both circular arcs on the unit circle

Find the lengths of both circular arcs on the unit circle connecting the point and the point that makes an angle of with the positive horizontal axis.

  What is the probability that a graph with m edges

A property retained whenever additional edges are added to a simple graph (without adding vertices) is called monotone increasing, and a property that is retained whenever edges are removed from a simple graph (without removing vertices) is called..

  Employee e-mailed the employer

A new employer policy at a dental office stated that the employees were unable to leave the office except to use the restroom, even with a patient cancellation. A husband of an employee e-mailed the employer that he had discussed the new rules wit..

  Question about derivatives and concavity

Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity or inflection.