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Equations of Lines
In this part we need to take a view at the equation of a line in R3. As we saw in the earlier section the equation y = mx+b does not explain a line in R3, in place of it describes a plane. Though, this doesn't mean that we can't write down an equation for a line in 3-D space. We're just going to require a new way of writing down the equation of a curve.
Thus, before we get into the equations of lines we first require to briefly looking at vector functions. We are going to take a much more in depth look at vector functions later. At the moment all that we need to worry about is notational issues and how they can be employed to give the equation of a curve.
Find out where the following function is increasing & decreasing. A (t ) = 27t 5 - 45t 4 -130t 3 + 150 Solution As with the first problem first we need to take the
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Solve for x: 4 log x = log (15 x 2 + 16) Solution: x 4 - 15 x 2 - 16 = 0 (x 2 + 1)(x 2 - 16) = 0 x = ± 4 But log x is
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solve for y given that 3sin^2 y+cos y-1=0 for 0y360
Sketch the graphs of the following functions: (A) y = 1/(x 2 +1) (b) x= sin x,
In triangle ABC, if sinA/csinB+sinB/c+sinC/b=c/ab+b/ac+a/bc then find the value of angle A.
In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour . The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.
Example of Integration by Parts - Integration techniques Illustration1: Evaluate the following integral. ∫ xe 6x dx Solution : Thus, on some level, the difficulty
The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two
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