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Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca
A 20-foot light post shows a shadow 25 feet long. At the similar time, a building nearby casts a shadow 50 feet long. determine the height of building? a. 40 ft b. 62.5 ft
Your factory has a machine for drilling holes in a sheet metal part. The mean diameter of the hole is 10mm with a standard deviation of 0.1mm. What is the probability that any
The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What
Can you help me with the coursework i have in Matlab?
Proof of: ∫ f(x) + g(x) dx = ∫ f(x) dx + ∫g(x) dx It is also a very easy proof. Assume that F(x) is an anti-derivative of f(x) and that G(x) is an anti-derivative of
6x-4+3x+6 -2a-8b-5a+10b
How do you do this?
Chain Rule : Assume that we have two functions f(x) & g(x) and they both are differentiable. 1. If we define F ( x ) = ( f o g ) ( x ) then the derivative of F(x) is,
By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans: 4 x 2 +3 x +5=0 ⇒ x 2 + 3/4 x + 5 = 0 ⇒ x 2 + 3/4 x +
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