Q. Let g(x) : [2, 3] -+ R be a continuous mapping. 3 And / (9(x) + 2 – 1)'dx = 0, then - a.g(x) = 0. b.g(x) = 1 – 22. c.xg(x) > 1 – a?. 1 - x2 - d.g(x): a O b O d

Q: Part. f. True or False: g(x) = In(x-1) is continuous for x > 1. 4 x +22

A:

Q: Given f(x) is continuous on its domain of (-00,-4) U(-4,00) and f" (x)= (x-8)7(x-1)² (x+4)3 A. x = 1…

A: Inflection points are those points where second derivative changes sign and those points at which…

Q: アー)。 The xy-plane above shows the graph of a continuous function f that is defined on interval [-2,…

A: We use the graph of f(x) and the definition of the function g(x) to answer the given question.

Q: Sketch the graph of the relation R= {(x, y)|x² – 2x- 2 < y< 2x – r² + 2}.

A:

Q: (4ах + 2b , X<1 2х — 3Ь,1 <х < 3 (2ах + 4b g(x) ,3 <x Find the values of "a" & “b" if gm is…

A: We will find the value of a and b as following-

Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

A:

Q: 4. Sketch the graph of the relation R= {(x, y)| x² – 2x – 2 < y < 2x – x² +

A: The given relation is,

Q: Sketch a graph of f(x) (2x - 1 if x 2

A: To sketch the graph f(x) ={  2x-1 if x&lt;2               x-2  if x&gt;=2 for x&lt;2, y=2x-1…

Q: Ax -4, xs2 Bx, Br+2A, 3sx 42. Find A and B so that the function f(x) 2 < x < 3 is continuous…

A: First we check Left and right hand limit at the first interval, i.e. x=2

Q: Evaluate the integral by changing to cylindrical coordinates. 25 – y2 '5 '5 xz dz dx dy x2 + y? 25 -…

A:

Q: Which of the following represents the graph whose shown? y= f(x)

A: the first zero is x=A and with a multiplicity of 3 so the factor is  the second zero is x=B and with…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.