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Find a linear approximation to the function f at a given point, and use it to estimate the given function value.
a. f(x, y) = √(29 - x2 - y2); (2, 3), estimate f(2.2, 2.8).
b. f(x, y) = cos (x + y + π/6); (0, 0), estimate f(0.1, 0.1).
Evaluate the combination or binomial function in the completion 48 factorial over 37 factorial. The answer should equal to 22595200368.
The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
orders of operations provide an interesting discussion for this course because this topic is important in mathematics
Elena's daughter sold 69 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troop's sale. How many boxes did the troop sell?
Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide the class with a third expression to simplify that includes rational (fract..
A survey of 100 mayonnaise purchasers showed 65 were loyal to one brand. For a survey of 100 bath soap purchasers showed only 53 were loyal to one brand.
A paper bag contains a mixture of three types of candy. There are ten gum balls, seven candy bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag
Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.
Let T(n) denote an equilateral triangular board with side length of 2^n units, subdivided into 4^n equilateral triangles with side length of one unit each. A trapezoidal tile (or triangular triomino) is a tile consisting of 3 adjacent equilater..
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
Calculate the probability that the rent of a randomly selected unit.
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