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Evaluate the given limits, showing all working:
Using first principles (i.e. the method used in Example 1, Washington 2009, Using definition to find derivative) find the derivative of each function and then evaluate the slope of the tangent line at the given point.
a) y= 12x2 -x3 ; (1, 11)
b) y =x/x-1 (-3, 3/4)
Explain Simplifying Rational Expressions ? A rational expression, or algebraic fraction, is an expression in which you have a polynomial divided by a polynomial. Sometimes it
In a digital filter, one of the parameters in its difference equation is given by the formula a) Show that the above formula has one horizontal and one vertical asymptote.
Example of 3-D Coordinate System Example: Graph x = 3 in R, R 2 and R 3 . Solution In R we consist of a single coordinate system and thus x=3 is a point in a 1-D co
how to know if it is function and if is relation
area of curve
If the points for a right angle triangle are XYZ where do I mark the points?
What is the ratio of the cone''s volume to the cylinder''s volume
there are
Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.
(a) Find the curve on the surface z=x 3/2 joining the points(x,y,z)=(0,0,0) and (1,1,1) has the shortest arc lenght? (b) Use a computer to produce a plot showing the surface an
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