O O The limT(x-1) [(x^3 e^(1-x)--4 * sinTtx) ] =1 a. True b. False

Q: |ff(x)=ln(6x^ 3 +3x^ 2 +3x+3) , find f^ prime (x) .

A: We have to find

Q: Calculate |(1 – i)12|. e^6log2

A:

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b > 0, n+ab=Θnb

Q: if g(x)=3x+4 determine n such that g(-3)=g^-1(n)

A:

Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: If 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)

A:

Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

A:

Q: fill in the boxes with the missing exponets  (5^()x^()y^(-2))/(xy^())=(x^(2)y)/(25)

A:

Q: What does the 5 represent in the function f(x)=5(2)^x?

A: Explanation of the answer is as follows

Q: Let f() - 4x2- 19x, Determine the largest n for whichfe C.

A: Given fx=4x223-19x7111.  f∈Cn implies that nth derivative fn exists and continuous. Consider…

Q: find the inverse functions  f(x)=8^(2x+1)

A:

Q: Find x 8+e^1-4x=20

A: 8 + e1-4x = 20 e1-4x = 12

Q: 5x/(x^1/3)(y^2/3)

A: Given expression is

Q: Shif F(x) left by 1 unit   x^2-8/ x+2

A: shifting left by m of a function means  F(x) changes to F(x+m)

Q: lim.                          x^5 x --> - infinity

A:

Q: Let f(x) = [(1000-x)^1/3]. Use linerarization to approximate the number       [(997)^1/3]

A: We are required to approximate the value of 997^(1/3) usign linear approximation.

Q: Is (x^6)*cosax a even or odd function?

A: Given function is To find: is even or odd function. For even function For odd function