f(@) A B - - 2 2.

Q: Evaluate X dp- (х -1)(2х -1)

A: Answer

Q: X 3-

A: Solution:

Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

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

A:

Q: х2 -Зх-6 34. f(x) = 3x

A: To find the derivative of f(x)=[x²-3x-6]/3x

Q: Evaluate dz. 23 x2+1

A:

Q: (а) (x- +y-1)-2 (е) (х + 3у)? 5y + т? + ху — 6у?2у — х - -

A: Now  , will simplify these.

Q: y= [x]; for -3 sxS3 6. y=x-[x]; for -2 SxS2

A: Function y=x is the greatest integer function where -3≤x≤3 x=-3, -3≤x<-2-2, -2≤x<-1-1,…

Q: Evaluate: +x2-r+4 where x = -2

A:

Q: 2, - - 3x, + x, = -2 + - 3r - -6

A:

Q: 등은 + 호골프 =D를 -2 (1 - x) 3-2т x-5 3

A: NOTE: Refresh your page if you can't see any equations. . multiply both sides by 12

Q: What is f(1)? 3- 2. 3.

A:

Q: dr For f (r+3)3-(r+3)7

A: This is a problem of substitution.

Q: Evaluate fx sec² (4 . x) dæ.

A:

Q: 3 6) y=--x-1

A:

Q: 5. f(x) = -2(x + 4) ty -2 이 4 4 6,

A:

Q: 2ryy' = y² – x².

A: 2xyy'=y2-x2⇒y'=y2-x22xy⇒y'=y2x-x2y                      1 which is a homogeneous linear differential…

Q: If f(4)=2 then f-1 (2)=?

A: Given, f(4)=2-------(1) We have  f(a) = b => a=f-1(b) -------(2)

Q: X+y=ロメ 4--(メ-リ (X-1)

A:

Q: 2x2 If f(r) = 5z 5 then 4z +1

A:

Q: (r -4 ifx2 6. f) = 4

A: Given query is to find function is continuous or not.

Q: of Find (8, - 2) if f(x.y) = 6x? + 4xy - 8y? + 4x -8y - 8.

A: f(x,y)=6x2+4xy-8y2+4x-8y-8

Q: Then P(-3 < X < 3|Y = 2) =

A:

Q: If Var(X)=3, what is Var(2X + 1)?

A: GivenVar(X)=3

Q: Find y'. O A. 2x+ O B. 2x- ОС. 2х+ -| -| |

A: we have y=x+1xx-1x

Q: 1ン ーr-- 1-

A:

Q: 2x-x xp - (r-1)° (x²+1) -0-

A: Given ∫-∞0 2x-x3x-12x2+1 dx                         =-∫-∞0x3-2xx-12x2+1dx…

Q: f (x) = x2 - x - 2; [-4, 5] [-4, 10]

A: The function is the unique relationship where each x is mapped to a unique y. It can be of any type,…

Q: If f(x) = 7+ 3 – 3x², find f'( – 5). -

A:

Q: show that flzi2)= f (2)f(2).

A:

Q: If f (6) = 0, which of the following must be true?

A:

Q: Does 2f(-3) mean 2*f(-3) or f(-3)*f(-3)?

A: Given : 2f(-3)

Q: Which of the following is equivalent to x2- ax - 7 = 0?

A:

Q: Work out the value of x, when X, = 1-2

A:

Q: f(x) -10 -8 -6 –4 -2 4 8 10 1 -2 -3 -4 - 6 -가 -8F 2. 1.

A:

Q: fx, (x) = 0.1 0.95-r

A: The probability distribution of the random variable X1,X2 and X3 is given as- fX1x=5x×0.1x×0.95-x,…

Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of…

Q: -8- -3 -2 3 x Figure Q1(d)

A: Roots are those values of x at which the function attains 0 as its value.

Q: Determine £-1{F}. - 3s - 9s - 2 F(s) = (s + 3) (s + 1)

A: Given Fs=-3s2-9s-2s+32s+1. We have to find the Laplace inverse of F, that is L-1F. We know that…

Q: f(x) - 4x3 - 21x?+ 36х - 5

A: Since, you have asked  multiple questions with multiple parts in a single request, we would be…

Q: Rir fcay> [-27x²+1}, find f (-})

A: We use the definition of the greatest integer function to find the value of f-13. The Greatest…

Q: Find He lAI 1- X 2 A: -2 ー1-X 2

A:

Q: 2(3r2 + 4r +2) – 3(-r2 +4r – 5)

A: We have to simplify the expression: 23r2+4r+2-3-r2+4r-5 Simplifying by removing parenthesis, we get…

Q: If f(x)=4x- 7, find.. 3) а) /(3) b) s-7)

A:

Q: (B-のg -D) Q3 -

A: Given D3-Dy=4cosx

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.