If f(x) : = 4 In(x² + x + 1), at what value of X is f' (x) = 4? O a) -1 O b) 2 O c) o d) None of these O e) 5

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

A:

Q: 31. Let f(x) = [x²/3]. Find f(S) if a) S= (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: The given function is, fx=⌊x2/3⌋. To Find: f(S) for the following set S, (a) S=-2,-1,0,1,2,3 (b)…

Q: For what values of the real numbers a and b, the function x- 2 x2 A) a=0,b=1 B) a=-1,b=1 1 C) a=1,b=…

A: We have to find the value of a and b

Q: Suppose 2 < f'(x) < 6, for –1 < x< 1. Then f(1) – f(-1) is between A) 2 and 10. B) 4 and 12. C) 0…

A: GIVEN : 2 ≤f'(x) ≤6,  for -1 ≤x≤1 TO FIND : f(1) - f(-1) HINT : Mean value theorem

Q: Determine the value of the constant "a" if it is known that | (4x + 1) dæ = 10 with a#0 a) 을 b) - c)…

A:

Q: ?(?)=13⋅?^3−11⋅?^2+11.   a) Then f has two turning points at ?= and x=  b) The absolute maximum…

A: Given question : ?(?)=13⋅?^3−11⋅?^2+11.   a) Then f has two turning points at ?= and x=  b) The…

Q: ) Let f(x) = c) 1 x + 3 following: a) ƒ (-3) = = defined, write "undefined". Evaluate the Undefinec…

A: We have given function  fx=1x+3 (a) Put x=-3 f-3=1-3+3=10 f-3=Undefined (b) fx+h=1x+h+3

Q: What are all the roots of f(x) = x* – 3x³ +x – 32 A -1, 3 only 1 ti3 only 2 1tiV3 -1, 3, 2 1, -3, VI…

A:

Q: 27. Let f(x)= [x²/3]. Find /(S) if a) S-2, 1, 0, 1, 2, 3). b) S= (0, 1, 2, 3, 4, 5). c) S = (1,5. 7.…

A:

Q: 4y² Given the function f(x,y)= find each of the following. SIMPLIFY A) f,(x,y)=. B) f,(x, y) =- C)…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: COSZ 2) if Res(f,x) of the function f(2)=- a) -3/8 b) #-6 2ti c) 1/e d) 8/5 -is

A: To find Resf, π of the function fz=cos zz2 z-π3.

Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: 24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1.…

A: Note:- Sorry for inconvenience as per our guidelines we should solve only 1 question so please post…

Q: Solve for r: 3x2 = 4x - 2. 2 + 2/2i (a) 2 + 2/10 (b) 3 3 (c) 3 2士 0 (d) 3 (e) None of these

A: Given,              3x² = 4x - 2

Q: (10,00 Puanlar) Let f(x) = sin 2x. Then find f (999) (x). a) 2099 cos 2x b) – 2099 sin 2x - c) –…

A: Given: f(x) = sin(2x) To find: f999(x)

Q: Which of the following is the parent function for a) f(x) = x b) flx) = x c) fx) = Ix| d) flx) = Vx

A: Given function is y=23x2. We have to find the parent function of y=23x2. The parent function is…

Q: What is the range of the function f(x) = 23 sin 4x+1 ? A B [0, ∞) D [4,16] C) [1,4] [2,00)

A: Range is the set of y values corresponding to x values of domain.

Q: Let a be a constant. Evaluate ((a* + a? + a) sin(2a) + 9a?)dx.

A:

Q: :)dx = -2 and | g(x)dx = 9 to evaluate the definite integral [f(x)-9g(x)]dr. Use the values

A:

Q: What is true about the function -- asx-m? OAM-f B) (x) 0 from below OC) f(x) is undefined OD)x) from…

A:

Q: - Given the functions f(x) = x² + 1and g(x) = 3 − x, determine an equation for the combined function…

A:

Q: e) 36x* - 13x +1= 0.

A:

Q: dx Show that f - In|ax + b| + C where a # 0. ax+b

A:

Q: The length of time that a Math 142 student spends on the final exam, in hours, is given by the PDF 3…

A: The median length is obtained as:   ∫0xf(x)dx =0.5    for x &gt;0   The pdf is given by :  f(x) =…

Q: For the function Hlo>x'tle, fnd a)flxth) 5bf(xth)- flx) c) f(x th)-f(x)

A: Given: f(x)=x2+6 To find: a) f(x+h) b)f(x+h)-f(x) c)f(x+h)-f(x)h

Q: Given f (x) = sin(x) + 3 and g(x) = 2 (x-4)², evaluate (f+g) (8). a) 36 b) 35 c) 67 d) 39

A:

Q: =) Which of the following functions are and /or IZI> 2: हन ii) 2²1 Z-√2+4 analytic in IZK< 2

A:

Q: 04 Let f(x) be a contineous function such that Ler - 5/W)dx = = 4 and =9, then a) 81 b) 101

A: Use definite integration property

Q: Suppose frx)=1 Zx+3 Find Of frx). What's it's and the inverse functions Domain Benge?

A: Solve