The function ax – 1 , if x<-1, x%=3 2x²_b, bxta, if xラ1. if -1EX<1, is continous everywhere if a= and b=

Q: find a general formula for f (n)(x). f (x) = x−3/2

A: Given, f (x) = x−3/2 To evaluate, fn(x)

Q: Find the absolute extreme values of the function on the given interval. f(x) = x4 + 8x3 + 14  on…

A:

Q: 5 If f(x) = x + 2, evaluate f (3k +3). k=1

A: given :f(x)=x+2∑k=15 f(k+3)

Q: Find f'( S(4) =

A: Given that, For the function h(x), h4=-12  and  h'4=-7 And, fx=hxx

Q: If f(1) = 2 and f '(x) ≥ 3 for 1 ≤ x ≤ 5, how small can f(5) possibly be?

A: Given f1=2f'x≥3    ; 1≤x≤5

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker…

A: We are given that an average worker arriving on the job at 7:00 A.M. will have assembled f(x) = x3 +…

Q: For the martix A= 2 5 3 4 If f(x)=x2+4, what is the answer to f(A).

A:

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

A:

Q: If (f o g)(x) = 6x - 3 and g(x) = 3x - 2 then f(x) = ?

A: Topic:- function

Q: Determine the extreme values of the ff. functions. f(x) = x^2 -8x +12 on [-5,3] f(x) = -2x^2 + 12x…

A: Given: fx=x2-8x+12 ; x∈-5,3   As we know that; For maximum and minimum values, differentiate the…

Q: Find general formula for f^(n) if f(x)=x^-4

A:

Q: The manager of a 100-unit apartment complex knows from experience that at a rent of $1500 per month,…

A:

Q: If f(1)  = 10 and  f'(x) ≥ 2   for 1≤  x ≤ 4, how small can f(4)possibly be?

A: Given that f(1)  = 10 and  f'(x) ≥ 2

Q: Find f'(x) if f(x) = e3In x². f'(x) = 6x5 f'(x) = (61n x)e3 In x2 Option 3 Option 2 f'(x) = 5x*…

A: The objective of the question find the derivative of given function.

Q: Find a general formula for f((x) if f(x) = x-5. f(n)(x) =

A: fx=x-5.

Q: Suppose that you have the following utility function u" (x) u (x) u(x) = Va. Find - o 1 2x - 2 1 -…

A:

Q: Using f(x) = In(3 – 2x), what is its f(n) (x)

A:

Q: If f(x) = }x + 3, find the image and preimage of 4.

A: Given:              f(x)=12x+3

Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

A:

Q: If f(3) = 11 and f '(x) ≥ 1 for 3 ≤ x ≤ 6, how small can f(6) possibly be?

A: Given,          f3=11 and f'x≥1 for 3≤x≤6.

Q: If f(x) = xcotx , then f'(n/4) =

A:

Q: If f (1) =10 and f ʹ(x) ≥ 2 for 1≤ x ≤ 4, how small can f (4) possibly be?

A:

Q: -1, if -n <x<0 1, if 0sxSa h) f(x) = { %, -1<x<0 0<x<1 -x, if %3D if

A: We find Fourier coefficients then find required Fourier series.

Q: Find f'(x) if ef«) = 1+ x². 2x f'(x) = 2x(e1+**) f'(x) = 1+x O Option 3 O Option 2 f'(x) = 2x(1 +…

A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

A:

Q: Describe the long run behavior of f(n) 3(п + 1)?(п — 5)°(n + 4)2. As n → - 00, f(n)- As n -> 00,…

A:

Q: [kx, if 0 sx <2 For the piecewise function fx) = {2k, if 2 <x < 4 k- x+ 5, if x + 4 determine which…

A: if piece waise function is continuous at connecting points then piecewise function is continuous at…

Q: 1. Use the definition to find f'(e) if it exists *, if z< 3 S(x) = c= 3 -3r, if r 23

A:

Q: If f(x) = cosh-'(5x), then f'(x) %3D

A:

Q: identify all suspicious points and determine all points of discontinuitypiecewise f(x) = 3t + 2, if…

A: To locate all the possible points in the domain of the given function where the function may have…

Q: If f (0) = -3 and f '(x) < 5 for all x, how large can f (2) possibly be?

A: Given f0=-3f'x≤5      for all x To find maximum value of f2

Q: If f(1) = 6 and f'(x) > 2 for 1 <æ< 3, how small can f(3) possibly be?

A:

Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

A:

Q: .If f(z) = 2° + 9 and g(z) = a+ 12, find [go f](-1). %3D

A: Givenf(x) = x3 +9, g(x) = x+12g ∘ f-1 = ?

Q: Find the x-intercept(s) of the following function: 3 2 -1 -1 O (0, 2) and (0, 3) ㅇ (2, 0) ㅇ (0, 3) O…

A:

Q: For what value of the constant 4 is the following function continuous for all real x? if x<1 [ 4x +…

A: From the given x values , we can see that the function f(x) is continuous at x=1 At x=1 the value of…

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…

Q: Differentiate the function D = 3 – In p. - D' =

A: Simply use the standard form of derivative and calculate the differentiation.

Q: Suppose that the cost for manufacturing n desks is C dollars, so we have C=f(n). Which of the…

A:

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker…

A: Number of units assembled by workers after x hour later since 7:00 am is, One hour corresponds: x =…

Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

A: The given conditions are,

Q: For f(z) = 2es the value oflog(f(z)) is %3D

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: Let A =D+x and B=D-2x ify= e3* then ABy = e3"(F(x)), Determine the value of f(X) if x=6. (use 2…

A:

Q: Find the domain of the function. 21) if -6 sx<-3 f(x) = Ixl if -3 sx<6 if 6 sx s18

A: given the function: fx=1if -6≤x&lt;-3xif -3≤x&lt;6xif 6≤x≤18

Q: If f(2) = 7 and f '(x) ≥ 1 for 2 ≤ x ≤ 6, how small can f(6) possibly be?

A: