21. f(x) = x²(x – 3)² (x+4)² 22. h(x) =(3x – 1)² (x + 2)² (x – 1) %3D |

Q: Add. 4 5/8 + 4 4/7

A:

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A: Given function is z=1+xyx2+y2 3D graph is

Q: Evaluate 1,C5 and P,

A: For 12C5, The formula of combination is,   Substitute the values in the above equation.   Thus,…

Q: Can. Sovle all of them

A: Yes, Sure post your questions we will solve all of your doubts.

Q: Find the value of 160843

A:

Q: 2. Stan.xdx

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A: To calculate: 2,1+3,4 Solution: To add or subtract two vectors, we add or subtract the corresponding…

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A: The standard deviation is 0.2.

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Q: Evaluate  P43 and C96

A: Solution

Q: Find each of the following. \{1,2,5,9,14\} \cup\{1,3,4,8\}

A: Given, 1, 2, 5, 9, 14∪1, 3, 4, 8

Q: Evaluate S. 2x ds

A: Given

Q: %3D Subject to 2itNg=3 ; 24%220

A: To determine: Minimize f(x1, x2) = 1x1x2 subject to the conditions, x1+2x2=3 ,  x1 , x2 ≥0.

Q: 9/3 7/3 +. 9.

A:

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Q: Table 1,4

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A: Differential equations solution

Q: -2 2. d=r Sinp.sin0

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.