(g) = In(){ f(In(1)sin (3x) dx In (x) = x 4 cos (3) (1">)in (~ = In (x) (1 sin" (2 X (h) f(x) = Quotient rule 1+3 cos(2x) x+ex f'(x) = x+e² [1+ 3 cos (2x)]-(1+3 e* = (x+e^)² 9. Consider y = e. Find the equation of the ta the graph of y=e" and the tangent line wh

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A: We have to find inverse function

Q: 4

A:

Q: Given f(x) = 7x and g(x) = 7x^2+9a. (f of g)(4) b. (g of f)(2) c. (f of f)(1) d. ( g of g)(0)

A: To evaluate the composite functions at given points

Q: 2y dr - y dy y (x-2y) dy, y(0) =-1 O x = 2y - e +3 %3D a y = 2r- e+3 0x= 2y-e+3 O x = 3y + 2e +1

A: Given DE is 2y dx-y dy=y(x-2y)dy ⇒dx-12dy=12(x-2y)dy⇒dx=121+x-2ydy⇒dxdy=12+x2-y⇒dxdy+x-12=12-y Which…

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Suppose f(x): = f-¹(x) 4 10x +9

A:

Q: Find f(-2) for f(x)=3x/x^2-2x-8

A:

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: Find f-1(x) f(x)=x2ln9x

A:

Q: if f(x-j) = 2x4-x3+2x2+x, find the value of f(x/j)

A: Note:- For this problem, nothing is mentioned about j. If it is a complex number or a variable. For…

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A:

Q: Differentiate f (x)  = 10e(-x - 2)/5

A: Given,           fx=10e-x-25

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A:

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A:

Q: Integrate the following x2(x-4)ex(x-2)

A: find out the integral of x2(x-4)exx-2

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A:

Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

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A:

Q: If f(x) = 3 + 6x – 2x2, find f'(4).

A:

Q: -1 sedx- cos(

A: