Solve the equation f (x) = 2x3 - 3x2 - 2x = 0.
Solve the equation f ( x ) = 2 x 3 - 3 x 2 - 2 x = 0. => 0, 1 2 , 2 or 0, - 1 2 , - 2 or 0, 1 2 , - 2 or 0, - 1 2 , 2..
Function Solved Examples
The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes it is a function. Every first element is mapped and it is many-one. T..
Solving Equations
Question 1 - Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Sub..
Question 1 - Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Sub..Solved Examples
Solved Examples - At a point 50 m from the foot of a building, the angle of elevation of the top of the building is 70 o 36 ' . Find the height of the building. BC is the building. A is the observer. AC is its distance of the building from the observer. is the angle of elevatio..
Solved Examples - At a point 50 m from the foot of a building, the angle of elevation of the top of the building is 70 o 36 ' . Find the height of the building. BC is the building. A is the observer. AC is its distance of the building from the observer. is the angle of elevatio..Step 1
For a differentiable function f (x), find f '(x). Equate it to zero. Solve the equation f '(x) = 0 to get the Critical values of f (x..
Methods to Solve Simultaneous Equations
Simultaneous Equations - Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite ..
Simultaneous Equations - Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite ..Concept of Indices with Solved Examples
Indices - We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 Here 2 is called the base and 6 is called the power (or index or exponent). We say that "64 is eq..
Indices - We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 Here 2 is called the base and 6 is called the power (or index or exponent). We say that "64 is eq..Step 2:
Solve f '(x) = 0 to get the critical values for f (x). Let these values be a, b, c. These are the points of maxima or minima. Arrange these values in ascending ord..
Result
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