8. Given that (2x-x*); 0

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

A:

Q: 21) Determine f(x) if f(x) = 3x – 5. %3D

A:

Q: f(x) = x²e²

A:

Q: 2. Given f(x)=x-6, determine whether f'(6) exists.

A:

Q: h(x) as x -00 -> h(x)→

A: We have to find end behaviour

Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: If h(x)  =   x  +  1     if x˂  -1                               2  + 2x    if x ≥  -1        Find…

A:

Q: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

A:

Q: 18) Match the graph with the correct function. (a) f(x) = -3 + In x (b) f(x) = 3 + In x (c) f(t) =…

A:

Q: If 14 < f(x) < 18, then </ f(x)dr <

A: Given  To find

Q: 1. If f(x) = x/(x − 1) and g(x) = 3/(x² − 1). Find the value of x for which (f + g)(x) = 1

A: Solving the problem

Q: Graph the function f(x) = u₂(x) ln x + u₁(x) (ln(10 − x) - ln x)

A:

Q: If F(x)= 27 0<x <3 then pdf f(x): 9. .2 9X II

A: F(X)=x327 , 0&lt;x&lt;3we have to find probability density function.

Q: 3 - dx x² – x - 2 (1) (ii) fx'e* dx

A:

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: Use the functions below to find the given value. f(x)=x2 g(x)=x² ¹)(-2) (9

A:

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: Evaluate the step function defined by f(x) = [[x]] for the given value of x. s(-3,4) = I

A: The floor function is the function that takes as input  real number x,and gives as output the…

Q: [2, 03 b) If f(t)={ , find L{S(1)}.

A:

Q: -4 if x1

A: The given function is: f(x)=-4        if  x&lt;-2(x+1)2-1    if  -2≤x≤1-14x+2if  x&gt;1

Q: 1- f, 2x e dx

A: integration is given below

Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: 3. Differentiate. x²e* f(x)%3= x² + ex

A:

Q: If g(x)= ex, g(In7)=

A: Topic = Function

Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

A:

Q: y 5 4 f(x) 3 g(x) 2 2 3 4 -1 1. 1.

A:

Q: Let f(x)=3−x2. Find each of the following: a) f(−1)−f(−6)−1−(−6)=  b) f(−6+h)−f(−6)h=  c)…

A: