3Fn - F n-2= Fn+2 for n>3

Q: -(x+6)2 + 4 for x 2 VI

A:

Q: V-x + 1 if x2 .

A: see below the graph  where points (0,2) and (2,0) is not included as there is break point in x=0 and…

Q: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: 5x -2 if -5sx54 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x° -4 if 4 <xS6 3 (a)…

A:

Q: -(+2h)+16f (x+h)-30f(x)+165 (x-h)-(-2h) Suppose f"(x) 3 Show that the error is O(h4)

A: It is given that,

Q: 4x -2 if - 4sxs2 If f(x) =. 3 find: (a) f(0), (b) f(1), (c) f(2), an x° -2 if 2 <xs6 (a) f(0) = (b)…

A:

Q: VI - 3 find: VE +3 If f(x) = f'(z) =| f'(3) = %3D

A:

Q: 3s +2 F(s) = (8² + 1)(8 – 1)²

A: Given:       Fs=3s+2s2+1s-12      Taking Laplace transform on both sides     L-1Fs=L-13s+2s2+1s-12…

Q: 2 – x2 If f(x) : find: 3 + x2 f'(x) =

A:

Q: x2 -4 if x 3

A: Find the values of a and b that makes fx continuous everywhere fx=x2-4x-2    if x&lt;2ax2-bx+3    if…

Q: 6(x + 1) f(x) = In = (2),f

A:

Q: What function equation is represented by the graph?

A: Given: The graph of the function is: To determine: What function equation is represented by the…

Q: f(6 + h) - f(6) If f(x) = 3 – 6x, then h. O -6 -6x 6x-3 O 6 O x-6

A: Just put the value instead of x in the given function f(x) as mentioned in the question.

Q: + 1) =-2fn what

A: Function: f(1)=160   f(n + 1) =-2f(n) If we put n=1 f(1+1)=-2f(1) f(2)=-2.160 f(2)=-320

Q: if f(1)=2 and f(n)=f(n-1)^2-3 then find the value of f(3)

A: Given  f1=2fn=fn-12-3 To find f(3) substitute n=3 in f(n) fn=fn-12-3f3=f3-12-3      =f22-3

Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

A:

Q: 8 6. * f(x) = 7 + + find f'(x). - x2 Find f'(2). | 8

A: To find the derivative we use power rule of derivative formula. Power rule of derivative is…

Q: 4x-1 if-4sxs2 If f(x) = find: (a) f(0). (b) f(1). (c) f(2), and (d) f(5). x'-2 if 2<xs 5 (a) f(0) =|…

A:

Q: 8) Find (f-1)'(a) fo

A:

Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

A:

Q: 4x -1 if - 4sx54 If f(x) = x²- find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x° -4 if 4 <x<6 (a)…

A: In a piecewise-defined function fx, the function values at any point  a  can be obtained by using…

Q: f(2) = {; -1, -n<x < 0, 1, 0 <x< n

A: In this question, we find the Fourier series for the given periodic function. and also we need to…

Q: f(0)=2 and f(n+1)=3f(n)-1. Find f(4)

A: To find f (4), obtain f (0), f (1) and f (2) as follows.

Q: 1 f(z) = |, + tdt If then f'(x) = 3x^6 f'(-3) = 729

A: fundamental theorem

Q: ax², x 2 then f(0) = 0 If f (x) = lx² + b, x > 2

A:

Q: f(x)={x2-9/x-3 if x is not 3.  7 if x=3

A:

Q: 2. f(x) = √x²-4 if x<2; √x-2 if x≥2 ; a= 2

A:

Q: 3 x2 If f(x) find: 8+ x2 f'(x) = %3D

A:

Q: f(1) = -3 f(n) = -5 f(n – 1) - 7 f(2) =

A:

Q: 16) f(n) = n² – 2n; Find f(n²)

A: Solution:

Q: 1 - f 1 = f + - Solve - for f.

A: We have to solve the equation for f: 1s=f+1-fp Taking LCM in RHS side, we get 1s=f+1-fp1s=pf+1-fp…

Q: $3+3s2-s-3 Q3: Find the f(t) if F(s) = (s2+2s+5)

A:

Q: f (x) = {(4 – x) Interval: -4 < x < 4} |

A: A Fourier series is a means of describing a periodic function as the sum of sine and cosine…

Q: 6 – x2 If f(x) find: 5 + x2 ' f'(x) = %3D

A:

Q: 30-4 If f(x) = , then f'(2) - Select one: Oa -6x 6.x 3. + 12x 4. 37-4 O b. 2.

A: For a function f the derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: 14 Find f(x) if f'(x)=10x – - 3 and f(-1)=63. 3 x

A: Here, the given function is: f'(x)=10x-14x-3-3So,f(x)=∫10x-14x-3-3dx      =10x22-14x-2-2-3x+C…

Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

A:

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule

Q: n-m-n (n→m) T T F F 티-| -| | L

A: Truth table

Q: -(x + 6)² + 4 for x 2 Find f(-4)

A:

Q: 5. f(x) = -, -2 < xS 2

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 2x-1 if-2sxs4 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5). x-4 if 4<xs5 (a) f(0) =-1…

A: The given function isf(x)=2x-1if -2≤x≤4x3-4if 4&lt;x≤5

Q: f(1) = -3 f(n) = -5· f(n – 1) - 7 f(2) =

A: See the attachment

Q: 0. -2 5S-1, (f) /() す。 1sく2.

A: (f) Given function is fx=0,  −2≤x&lt;−1x,  −1≤x&lt;10,  1≤x&lt;2. We have to find the Fourie series…

Q: С. -5- i.) f (3) = %3D 4-+ ii.) If f(x) = 2 , then x = or %3D 2- -2- %24

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.