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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)
The Definition of the Derivative : In the previous section we saw that the calculation of the slope of a tangent line, the instantaneous rate of change of a function, and the ins
Inverse Functions : In the last instance from the previous section we looked at the two functions f ( x ) = 3x - 2 and g ( x ) = x /3+ 2/3 and saw that ( f o g ) ( x )
Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm
integral 0 to 4 integral 0 to y root of 9+ysquredxdy
if abebe murepay a $100000interse free loan by making annuallypayment of 1st
X and Y are centers of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally. Given that XZY=90 o , w
If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans: Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ
Give an example of each of the following given below . You do not require to give any justi cation. (a) A nonempty, bounded subset of Q with no in mum in Q. (b) A subspace of
The probability that a randomly selected 3-year old garter snake will live to be 4 years old is .54 (assume results are independent). What is the probability that five randomly se
EXPLAIN ME ABOUT ITS FUNCTIONS.
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