L{ (1-t) 2}= %D 2 1 | .a S s2 S 1 2 | s2 s3 .b S4 1 1 2 .cO - s2 S3 1 2 s² 3.dO

Q: Find L-1{F(s)} for each given F(8). F(s) s² – 4s + 13 S- 4 F(s) %3D (s – 2)²(s+3)

A:

Q: Which cube root function is represented by the graph? y 41 1 4-3-2 O1 2 3 4 x -4 432 234

A: A.  f(x)=x+43+2         On putting value x=1 we will get, f(1)=1+43+2…

Q: y(6) –4y(5) +3y/) =-27 %3D

A: The given differential equation is y6-4y5+3y3=-27. We have to find the solution to the given…

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: 2.r +10 1. Let g(x) = 36 (x) = 5x+4, and r(x) = /6x + 13. %3D %3D (a) Find g(-4). (b) Find (f –…

A:

Q: Q5/ Let F(x) = x>0 is c.d.f, find the value of P(-3<x< 4). e.w

A: It is an important part of statistics. It is widely used.

Q: 5. f(x) = c= x3-x %3D

A:

Q: A special 3-year endowment insurance is purchased by a 50-year old. The benefit paid at the end of…

A: Given, Type of insurance: Special endowment Term of insurance: 3 year K qK+1 bK+1 0 0.05 1000…

Q: X-1 2. Where is f(x)= discontinuous? x² – 5x+4

A: The given function is: f(x)=x-1x2-5x+4

Q: x2 dx 00 (x2+a²)(x2+b?) %3D b-a á 0

A:

Q: Jx-6dx is 3(x-6)% -+c 2 Ob. (x-6) +c O . (x-6)% 2 O d. 2(x-6)% -+c 3

A: I=∫x-6 dx   Let x-6=t⇒d(x-6)=dt⇒dx=dt

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

A:

Q: Q3/ The value of k such that P2 (1) = 2.8, 2 |k 4 f 1 2 Is

A: Given are some values of x and f. Also, given P2(1)=2.8 First we calculate P2(x) using Lagrange…

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

A:

Q: c) Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D

A: Newton's forward difference interpolation formula is, y(x)=y0+pΔy0+ p(p-1)2!    ⋅Δ2y0+  p(p-1)p-33!…

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: Write a formula for ( ogoh) where r-2 f(x) = 3x - 4, g(x) h(x) = Vx - 2 x+1

A:

Q: .Which function results in f(2) = 132 %3D A. f(x) = x2 + 8 %3D B. f(x) = 3x2 + 1 %3D C. f(x) = 2x3 +…

A: We have to find out

Q: xe 47. h(x) Rule %3D x + 1

A:

Q: Solve for x. 5x -15 20 2x -8

A: we have the given figure of a trapezium   non parallel sides are (5x-15)  and  (2x-8)   Median = 20

Q: 10. Given f (x) = x - 3x +5. Evaluate each of the followings. %3Dx a. f(-3); b. f(-1); c. f(0) ; d.…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.