Find the derivative of f(x) = 2tan ¹(eª).

Q: Calculate |(1 – i)12|. e^6log2

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Q: 5 ¹ (²³) = O t^(6)/36 O t^(5)/24 O None of them O t^(4)/6

A: The given inverse Laplace transform is .We have to find the inverse Laplace transform.

Q: If i=(-1) then i^25= ...

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Q: Q3// Find without calculator: Csc-(V2)

A: Given problem is  :

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: Suppose Var(X) = 83, and a = .57. What is Var(aX)?

A: The objective of this question is to find the variance of a random variable that has been scaled by…

Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: ((-14)/((x^2)-x-12))-((1)/(x-4))=((2)/(x+3))

A: Given:The equation is,

Q: For each function f, give O(f) using any of the properties in the last 4 slides. In each case,…

A: We know, f(x) = O(g(x)) if f(x) < cg(x) for some positive integer c, and x > x0 for some x0.…

Q: Solve. a) ln(x+1) + ln(x-1) = 0 b) e8-5x = 16 c) ln(2x) - ln4 = 3 d) 2ln(x+3) = ln(12x)

A: a) use logarithmic identities to solve the given equation as.

Q: Find E(0.6^X). E(

A: Given that,The probability mass function of X is,To find the expected value of .

Q: Which of the following functions exchibits exponential growth? A (a) = (종)" fa (2) = z³ f3 (2) =…

A: The exponential growth function is given by: f(x)=abx; a≠0, b>0

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the…

Q: 5. Evaluate log, (81 27).

A:

Q: The exponential function f(x) = 40.55(1.025)* describes the population of a certain country, y, in…

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Q: 3/5+x/10=-1/5-x/5

A:

Q: hp(h)u[ h^S

A:

Q: If a variable, lets say a, is >0, does that mean a goes to infinity?

A: No, this does not imply that a variable, like a, goes to infinity only because it is bigger than 0.

Q: Please help ()())()()(((

A: Given: demand function: P=−50Q+2000 supply function:P=10Q+500 1) To find the equilibrium quantity,…