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Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A
Write down the system of differential equations for mass system and the spring above. Solution To assist us out let's first take a rapid look at a situation wherein both of
Find out the roots of the following quadratic equation. 3x 2 + 7x = 0 Solution: Using Equation 6, one root is determined. x = 0 Using Equation 7, substitute the
The low temperature in Anchorage, Alaska present was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures? Visualiz
the value of y for which x=-1.5
how can we prove that an absolute convergent series is convergent but the converse is not true.
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 )
Reason for why limits not existing : In the previous section we saw two limits that did not. We saw that did not exist since the function did not settle down to a sing
Derivatives of Exponential and Logarithm Functions : The next set of functions which we desire to take a look at are exponential & logarithm functions. The most common exponentia
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