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For the following two planes x + 2y - 4z =8 and 6x - 2y + 3z=6
(a) Find the angle between the two planes.
(b) Find parametric equations for the lone in which the two planes intersect.
(c) Find an equation of the plane that is perpendicular to the two planes and containing the point (5, 1, -2).
Given f (x, y) = xy / (x - y). Find all the second partial derivatives of this function. Find the tangent plane to the graph of this function at (2,1, 2).
1.A club has 25 members.How many ways are there to choose four members of the club to serve on an executive committee?How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more t..
A conducting loop in the shape of a square of edge length 12cm carries a current of 15A. A) calculate the magnitude and direction of the magnetic field at the center of the loop. B) Calculate the magnetic field at the center if the same wire is fo..
What is the difference between probability sampling and simple random sampling?
1) 2 boats leave a dock at the same time. one boat travels south at 30 mi/H and the other travels east at 40 mi/H. After half an hour, how fast is the distance between the boats increasing?) A spherical balloon is inflated at a rate of 10 cm^3/min. A..
A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4 and no payoff otherwise. What is a fair price to pay to play this game?
After getting a 15% discount on the price of a new chrysler sebring convertible, Helen paid $27,000. What was the original price of the convertible to te nearest dollar?
suppose the short-run production function for a particular product is represented byq 60000l2 - 1000l3a. find the
For the series n=1Σ∞1, find a formula for the partial sums SN, the limits limn→∞ an and limN→∞ SN, and determine whether the series converges or diverges.
A building is 282 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 22 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Calculate the mean for the grouped data.
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