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: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: The point (-2,1) is in the domain of the function given by f(x,y) = sqrt(x+2y) + ln(x+3y) True or…

A:

Q: 30. G(x) %3D х3 -5e2х

A: Given  G(x)=x3-5e2x Now we have to find the difference of G(x) as shown below

Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

A:

Q: Differentiate

A:

Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: If ƒ(x) = 3x√x + ƒ'(9) = x²√x then ←

A: f(x)=3xx+2x2xwe know  ax×ay=ax+yd dx(xn)nxn-1

Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

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

A: ddxxn = n·xn-1

Q: (b) (x*y2,1/3(xy) -1/3 X + 0, y # 0

A: We will simplify the expressions by writing the exponents with equating the bases.

Q: f(x) = Ax , g(x) = Bx^2 Find A and B if (f o g) (1) = 11

A: This is a simple question based on composition of functions which could be solved with the basic…

Q: 3) y=(7x² – 2x + 3)

A: Derivative,

Q: f (5), where f (x) = 1/(2x).

A: Given fx=12x we have to find f(5)

Q: y = x2/2x2 + 3 at x = 2

A:

Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

A:

Q: CLX 5) Let f(x)=√√x³- 4x + 1, f(3) = 4, find (f¹)'(4).

A:

Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

A:

Q: f(x5) (16-x²)³/² dx

A:

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: 7- Differentiate Y= f(g(x4)) h³(√x)

A:

Q: x3/2 9. J Tx+1

A:

Q: Find the derivative y=(x-4+x2+4) In (x4+5) y=(-4x-5-2x-3)| (+14+²53) O a. O b. 4x³ y=(-4x-5-2x-3)…

A:

Q: Differentiate: f(x) = 4x³ - (5/x²) %3D O a. f(x) = 12x² + (10/x³) O b. f(x) = 12x2+ 10x3 O c. f(x) =…

A:

Q: a. y = x* -+ 2x* -+3*+ b./(x) %3D푸-+. c. g(x) = 4 -+-4 b. f(x) = 6x + 10 4x

A: Formula: Derivative of xn = nxn-1

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.