etermine the derivative of f(x) = 5 arcsin x 1. ƒ'(x) 2. f'(x) 3. f'(x) 5. f'(x) = 6. f'(x) = 4. f'(x) = = = = 2 √4. 4-x² 5 √4-x 10 √1-T² 5 √1-x² 10 4-x² 2 √1-x²

Q: log(1 + (2y/x) + (y^2/x^2)) + 2logx, simplify and state restrictions

A: The expressionlog(1+2yx+y2x2)+2logxThe propertieslog(mn)=logm+lognnlogm=logmn

Q: Calculate |(1 – i)12|. e^6log2

A:

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

A: Given problem is  :

Q: (e) $(-1296)^{1 / 4}$(f) $-1296^{1 / 4}$(g) $(-27)^{1 / 3}$(h) $-32^{1 / 5}$

A: (-1296)1/4Apply radical rule:  -a4 = -14a4-129614=-1412964=6-14   -12961/4=-6

Q: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: The graph shown most accurately represents which of the following functions? 6. 7 9. 5 7 8 9

A:

Q: lim (-In x) : 1|

A: Property of limit: limx→akfx=klimx→afx Calculation: The limit can be obtain by using the above…

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: Write as a single log. Log_k(f)/Log_k(2)

A: Using logarithmic identities we can solve for single log  logcalogcb = logba

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: You have two friends: a reliable friend, and an unreliable friend. When the reliable friend says…

A: x follows Uniform0,5 and y follows Exponential15. And it is given that x and y are independent.

Q: find x if In(x) = 2.85

A: