Describe the long run behavior of f(p) = (p+ 2)(p+ 4) (p + 5): As p →→ ∞, f(p) → ? ✓ As poo, f(p) → ?

Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: Evaluate L-1{ -(-e¯™s+4T8+ 2+1

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Q: Determine L-1{F} if -3s2 + 20s – 25 F(s) (8 – 3)(s² – 2s + 5)'

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Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

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Q: Find f(t) if 40 F(s) = (s2 + 4s + 5)

A: Inverse Laplace transform

Q: F(s) = = 4 3s7(s²+3)

A:

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: + 1) =-2fn what

A: Function: f(1)=160   f(n + 1) =-2f(n) If we put n=1 f(1+1)=-2f(1) f(2)=-2.160 f(2)=-320

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

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Q: Let 7 (t) = Find 7 (t) デ'(t) =D<

A: r'(t) =d(r(t))/dt

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

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Q: Is |exp(2ixy)| = 1 ?

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Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

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Q: (-s+ s2) + (-6 - 7:) = |

A: Given:(-5+5i)+(-6-7i) To perform complex number addition add real and imaginary terms.

Q: If h(t)=t3*4 , then h(2)=?

A: Given h(t) = t^3*4 To find h(2), so here put t =2 to find the answer.

Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

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Q: -(b): Evaluate: (t + 4)(t + 4)dt.

A:

Q: (d) 2√2-7 = 16 x 22 X

A: given  2x-7=16 if ax=ay,  than x=y

Q: x2 – 3 f(x) = 3x +5 Select one: a. R\{-} b. R\{3} c. R\{o} o d. R\{}

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Q: Determine L-(F}. 5s +5 s2 + 8s + 16 SF(s) – 4F(s) =-

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Q: When h(t) = 7t + 3t – 2, evaluate h( – 3) - h( – 3) =

A: Given: ht=7t2+3t-2 h-3 can be evaluated by putting t=-3 in the equation of ht as, h-3=7-32+3-3-2…

Q: Find f132 if f(y,z,x) =3x2+6xz+yx3

A: Question- Find f132 if f(y,z,x) =3x2+6xz+yx3

Q: The number of visits to a website is known to have a Poisson distribution with a mean of 7 visits…

A: Given,The average no.of visits per minute is 7.