2x + 1 Evaluate: (За — 1) (22 + 2х + 2) | A F (x) = 2 In (|3x – 1|) + ln (æ² + 2x + 2) – 4 arctan (x + 1) + C 10 F (x) = 2 In (|3x – 1|) – ln (æ² + 2x + 2) – 4 arctan (x + 1) + C 10 F (x) = 2 In (|3x – 1|) – In (x2 + 2x + 2) + 4 arctan (x +1) + C 10 D) F (x) = 2 In (13x – 1|) + In (x² + 2x + 2) + 4 arctan (x+ 1) + C 10 E None of the given choices B.

Q: Differentiate: f(x) = e* +3* + In(4) A f)=e*+3in(3) +- f(x)= e+3 n(3) © fx)= e* +3* f(x) = e* +3* +=…

A: fx=ex+3x+ln4

Q: dominio de la función m(x)=(x−1)(x+2) / (x+5) is ? Steps please

A:

Q: X+1 dx (x- 1)(x² + x + 1)

A: The given integral is: I=∫x+1(x-1)(x2+x+1)dx

Q: er + e-x3 d) k(x)= 3e* + 4x

A: Given function, k(x)=ex+e-x33ex+4x

Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

A:

Q: f(x) = (x + 3)(x – 1)².

A: Given function Find the critical values for the given function. To find critical values we need to…

Q: if y+z=10, then (10x+y)(10x+z)=100x(x+1)+yz?

A: It is given that y+z=10. Use multiplication of binomials to find the value of the following:…

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: f (x) = x2 - 1 / x + 4  Find the following:   5) f (2x)  6) f ( a + k)

A: Given:-   fx =x2-1x+4   now, a. f(2x) f2x=2x2-12x+4 = 4x2-12x+4 = 4x2-12x+2 = 4x22x+2-12x+2 =…

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: f(x) = xv3+ 2 (-2)

A: Given: fx=x3+x2

Q: Find 9 JBS if [3f (x) - g (x)] dx = i 9 9 frode = 2 and 1200dx = 50 [80 (x) dx g (x)

A:

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) = (x + 6)3 f(x) =| g(x) =

A: We have to find the function

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

A:

Q: rovided f(x) = the square root of x2 +3 and g(x)= x/x+6 find (f o g)(4) and (g o f) (4)

A:

Q: Let f(x) = x3 + 5. Explain why f(x) is invertible, then show all steps in the derivation of a…

A: Invertible function and it's inverse.

Q: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

A:

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: Given f(x) = 1 + 6x – x? and g(x) = 4x + 1

A: Given: fx=1+6x-x2  and gx=4x+1 To find: f+gx

Q: る(4xナx)(10x2+x2-2

A:

Q: Find the antiderivative of (25x2+48x+15)/(x-1)(x+2)2

A: Antiderivative of a function f(x) is given by :…

Q: (9) f(x² - & 8x + 3)dx (h) f(ax + + b)dx ff f(²x² (i) 7x + 4e -3dx

A: Here we have to find the integration using basic properties.   Part- g Now, ∫(x2-8x+3)dx=∫x2 dx-8 ∫x…

Q: 2) Given: f(x) = (x-1) (x+ 1) was transformed to (x) = (x- 1)(x+ 1)-1. How many roots would the…

A: f(x)=(x-1)2(x+1)2 was transformed to f(x)=(x-1)2(x+1)2-1.

Q: h(x)= 3x+5 j(x)=-2, I-3 What is h(x)/j(x)? What is the domain?

A:

Q: (2.00-x) Vq₂ = ±xV|q₁|

A: