hee f(2) = qS+x",x+ x+3 and a (x) = 1'+2+ € 7 [u] Such that f (x) = q (x) g (x) + Y(x) where either r(x)= 0 O< deg y(x) deg 96). %3D or

Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: find (f o g) (2): f(x) = x^2 + 1, g(x) =x -1

A: (f o g) (2) = f(g(2)) So we will find g(2) by plugging x=2 in g(x) g(x)=x-1 g(2)=2-1 g(2)=1

Q: exp(iz) = 1+ iV3.

A:

Q: Find the 2nd derivative of y = 3x6 + 7x %3D O 90x3 O 18x4+7 O 18x5 + 7

A: y=3x6+7xTo find the 2nd derivative

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

A:

Q: 8 him XT 2 (secx tanx) 1

A:

Q: Differentiate. f(x) %3Dx =x° +x' d dx (x)] =

A: ddxxn = n·xn-1

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

A:

Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

A:

Q: flx)=x =X-5 (x)= Find .f)

A: Here, the given function is: f(x)=x-5, g(x)=x2

Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

A:

Q: dx V4 - x - dx 2 8)

A:

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: If y=(X+3)(X-5)^7 then find y`

A:

Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

Q: Evaluate: 3 A 1–x*) 2 + C 3 (1-x*) ² + C --(1-x*) ² +C D 1-x*) 2 + C 3

A:

Q: f(x5) (16-x²)³/² dx

A:

Q: c. A bag contains 20 tennis balls, of which four are defective. If two balls are selected at random…

A: c.   Probability =Favorable caseTotal casesFavourable case : Number of chance to get both defective…

Q: Ify= (x³ + 1)“ , theny = ? (A None of the given choices B(3x2)? © 2(x³+ 1) O 6x²(x³ +1) E 2(3x² + 1)…

A:

Q: or f(x) = 2x-7 3x - 2

A:

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

A:

Q: If u(x) = x3, then du = 3x2.

A:

Q: (2x–1)4 y = (a²+1)³ ,3 y = xe*°

A:

Q: ム× dx (x2+1) (3x-2)

A:

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.