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

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: 6. Find the value of k if (x + 2) is a factor of x + 4x2 + x + k

A:

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

A:

Q: 6. Factor: x* - 45x2 + 324 A. (x-6)(x-3)(x2) B. (x-6)(x- 6)(x+3)(x+ 3) C. (x+ 6)(x+3)(-x²) D.…

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

A:

Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

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: 7. 8xly + 4x-4y-2 C. (2y + 1)(4x - 2) D. (2)(2y -1)(2r + 1)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

A:

Q: p(x)= 6x-8 then p(5) =

A: p(x) = 6x-8

Q: S (x + 7)dx 15x²+x-2 A. In 2 (3x-1)3 (5x+2) +C B. In 3 (3x-1)2 (5x+2)3| +C C. ln (3x-1)³ || (5x+2)3…

A:

Q: In(x) dr. x² + 9'

A: Sol

Q: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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

A:

Q: S(10) for √3 - 3 + 3√3+...

A:

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

A: Solution:-

Q: 3. Factor, if possible, using integer coefficients - (A) 2x² + 11x − 6 (B) 4x² + 11x - 6 (C) 6x² +…

A: We can solve this as follows:

Q: Find L-1 (s+2)2+16 2+16³.

A:

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: If (x + 3) is a factor of x3 - 13x – 12, what are the other factors. A. (x- 6) and (x + 2) B. (x –…

A: Given data is : If x+3 is a factor of x3-13x-12 What are the other factors.

Q: what is the leading coefficient and end behaviour of x(3x - 4)(-2x + 1)(x - 5)

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: 2x² + x³ 3x² + 4x-9 1² +1 Q(x) + p(x) 1²+1

A:

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