f(x) -1.0• 0.8- h(x) 0.6 0.4 |0.3나 0.4- 0.2+ 0.2- 0.1+ ++++►x 0.4 0.8 -0.4 -0.5 0.5 +

Q: f(x)=5-6/x2, x > 0 f-1(x)=

A:

Q: f(x)=x-1; g(x)=2x2 Find 1. (f+g)(x) 2. (f-g)(x)

A: Given, f(x) = x - 1 g(x) = 2x2

Q: 4- f(x) -1 -1+ f(0) f(x) 0 x f '(0) 4. 3.

A:

Q: x2 - 8 If f(x) = X-4 where is f not differentiable?

A: Find where is f not differentiable

Q: y = f(x) 3 4 - (-2,2) (4,2) y = g(x) (2,1) -4 -3 -2 3 -1 -4 -3 -2 -1 2 3 4 (-4,2)

A: Note: As per Bartleby guidelines, only 3 subparts of a question can be solved at a time, so kindly…

Q: Determine £(F) s -7s+11 F(s)= (s+ 1 (s +6)

A: Given that  F(s)=2s2-7s+11s+12(s+6)

Q: X(1+x²), 0< r<2, f(x) = 0, otherwise

A:

Q: f(x)=1-e-(12,5/68,1)x   f'(x)=?

A:

Q: F(x)=6-2x, 1<x<5

A:

Q: X1 6. ((-)- f(l)= f(0)=. f(2.5)=

A:

Q: f(x +h) - f(x) For f(x) = - 4x - x- 2, find f(x+h) - f(x) h

A: The function is given by fx = -4x2-x-2 To evaluate: The expression of fx+h-fxh

Q: 2х - 2 -1< x<0 f (x) = {-2x – 2 (5 (x+2) 0 <x<1

A:

Q: If f (x) = z2-3z+2 and g (r) = x- - 2, what is f (x) g (x)? - 2, what is f (r) g (x)? I+1 O (z – 2)°…

A:

Q: x-2 where is f not differentiable? If f(x) = x-3

A: f(x)=x2-2x-3   Vertical asymptote of the above function is x=3

Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

A: The given function fx=2x2+1-1 Since x2+1 is always +ve. Therefore, 2x2+1 is always positive and real…

Q: Value x of X P(x = x) -4 0.19 0.14 4 0.28 6.

A:

Q: f(x) = \frac (1) (x+3) f^(-1)(x) = `-

A: topic: function

Q: Water is running into a hemispherical bowl having a radius of 10 cm at a constant rate of 3 cu.…

A: Hemispherical bowl radius= 10 cmdvdt=3 cu.cm/mindxdt=0.0149 cm/min

Q: (a) F(s) = 2s (s¹ +24s² +144)

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: 4- [10 points] Evaluate f x²4* dx

A: We have to determine the integral of ( x24(x^3) )dx.

Q: f(x) = (x-1)(x-6) g (x) =x+4

A: Given,           fx=x-1x-6 , gx=x+4

Q: Queskon (2): sKelch and ind Range.- り f: (x+2-4 2) fra): 4- Vx-5 Lo -1x +3 +5 u) frag= 2-15+x

A: Hello learner, we can answer the first question among the asked questions as per the honor policy.…

Q: How do you show that if f(x) is O(x), then f(x)=O(x2)?

A: Here we use the definition of big-O.

Q: f (x) = - x + 43x - 5 %3D as x → -00 f (x) →-0 as x -∞f(x) -8 | as x +oof(x) → -8∞ as x → +of (x) →…

A:

Q: х - 2, for xS -3, f(x) = - 3, for - 3<x<1, 4х, for x2 1

A: Given,

Q: y4–2x2 y4+x² , 0, if (x, y) + (0, 0) if (x, y) = (0,0) f(x, y):

A: The function will be continuous at a point if the value of the limit of the function at that point…

Q: Finding the extrema of f(x) = 2x² – 3 x^3 on the interval [0, 1].

A:

Q: x²-6 2 If f(x) = X +3 where is f not differentiable? X%=

A: Given: fx=x2-6x+3

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: f'(x) = -2xe f"(x) = (4x² – 2)e- f(4) (x) = 4e* f(3) (x) = -4xe-" (2x² – 3) (3 –12x² + 4x*)

A:

Q: f(x) = - 4x - 2 on (- 0,0)

A: Given: fx=-4x-2 on -∞,∞ To determine whether the graph is increasing or decreasing on the given…

Q: f4) = (/4x² +8 - x²)* (8x + 4x)V4x2 + 8 - 24x - 32x V4x2 +8 If then f'(x) =

A:

Q: ² -9, x 3 3. f(x) = {2-x, -2 2

A: 2. Given, The function f(x)=x2-9,    x&lt;33,            x=39-x2,     x&gt;3 Clearly function is…

Q: s3+3s2-s-3 - Find the f(t) if F(s) = (s²+2s+5)

A:

Q: 4, 0st< 2 2. f(t) : [0, t2 2

A:

Q: F(x)= -2x g(x)= absolute value of x +4 h(x)= 1/x-3

A:

Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) f+g)(x) = 2) -h)(x) =

A:

Q: frx)= K+4

A:

Q: S-1, -l<x < 0, 6. f(r)= 1, 0 <x <l.

A: First we can convert given function as a single function by fourier series representation.

Q: etion f(x) ff(x) is

A:

Q: . f(x) = *? -1 x+4 2. f(x) = a) f(0) = b) f(-1)= c) f(-x)= d) – f(x)= e) f(x+1)= f) f(2x) =

A:

Q: First principle of f(x) 6÷x

A:

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

A:

Q: Sx² - 1 if x > 0 lx +1 ifx < 0 f(x) = What is the range? * O (-1,+*) O R-(0} (-00,1)

A: The domain of f(x): The set of values of x for which the function f(x) is defined.  Range of f(x):…

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: P(X = x) Value x of X -3 -2 0.14 5 0.25 6 0.23

A:

Q: F(x)=-x^2+6 Find f(-3)

A: Given :

Q: f(x + 2h) – 4f(x + h) + 6f (x) – 4f(x – h) + f(x – 2h) | | f(4)(x) = + O(h?) h4

A: By Taylor series expansion of the functions f(x+2h), f(x+h), f(x-h), and f(x-2h) and some simple…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.