If x is N(0,2) find (a) P{1£x£2} and (b) P{1£x£2x³1}

Q: ii Sketch y = f(x), y= f¯'(x), and y = x _on the same set of axes.

A:

Q: S(12 ) for √2x + 2x + 2√2x+...

A:

Q: 4. Show steps and find -9x²-9x-4 x³ - x 3 √⁹x² - dx. 3

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Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Find [(5x+3x²) da dx + C

A:

Q: In(x) dr. x² + 9'

A: Sol

Q: (x+2)(x+ 1) y = 2x-4 (2x +3)(2x – 4)– 2(x² + 3x + 2) (2x – 4)? O a.

A:

Q: Sx(x-2)/xr³ – 3x² + 5dx

A: By using substitution, we calculate the given integral.

Q: If S(8f(x)+ 5) dr = 8 , then

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Q: S(10) for √3 - 3 + 3√3+...

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Q: Indicate the least integer n for which (3x6 + 2x2)(x3 + 3x) is O(xn).

A: Solution:-

Q: ate ſ- dx 4x²+1

A:

Q: Which of the following is NOT a factor of x6 – 4x* – x³ + 4x? x - 1 x? - 4 x³ + 1

A: To find the factor of x6-4x4-x3+4x

Q: If p = 4x³ + x² + 2x + 5 and          q = 6x³ + 3x² + x + 2  Find ||p||  and ||q||

A:

Q: 5) Find GF

A: Given,

Q: find the missing P and Q (x+P)(x+7)=x2+15x+Q

A: Given

Q: What is the coefficient of x9 in (x + 2)¹5?

A: Solution :- x+215Apply binomial theorem:  a+bn=∑i=0nnian-ibia=x,  b=2=∑i=01515ix15-i· 2iExpand…

Q: Suppose P(AIB) = X and P(A n B) = 8 What is P(B)?

A: P(A|B) = 14P(A∩B) = 18P(B) = ?

Q: What is the coefficient of x12 in (x+2)14?

A: Given expression is,

Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx