2² – 2, a< 3 |æ + 4, > 3 is continuous everywhere. f(z) = O true O false

Q: Mathematicians B. Constante and M. Sosa are having an argument. Professor Sosa claims that it is…

A: Professor Constante is correct.

Q: If f-(a, b) = 0 and fy(a, b) = 0, then Vf(a, b) = 0.

A: Given,           fxa,b=0   and   fya,b=0

Q: Let f(x) be a continuous function. If f(c) is an absolute max or absolute min, then c is unique. O…

A: Given,  fx is a continuous function fc is absolute max or absolute min , then c is unique.  We have…

Q: 46. Find the values of a and b that make ƒ continuous everywhere. 4 - if x < 2 f(x) = ax? if 2 <x <…

A:

Q: 4

A:

Q: f(x) = x² - 2, x + 4, O true false x 3 is continuous everywhere.

A: f(x) = ( x2-2, x&lt;=3            x+4, x&gt;3

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: ?-t-20 f(t)= 12+7t+10 is piecewize continuous on [0,10]. True O False

A:

Q: Q4 Use an E-d argument to prove the function g(x) = x³ is continuous at E R. Hint: x³ x³ = (x −…

A:

Q: 2. Rewrite each of the implications below using all 4 forms: (1) only if, (2) is sufficient, (3) is…

A: (a) If a function f is differentiable, then f is continuous.Only if: Only if f is continuous, is f…

Q: -{ x² – 2, x + 4, x 3 false true

A: Let's find.

Q: Mark the correct answer. Let f be a strictly increasing and continuous function defined on the set…

A: Given   x 0 1 2 3 f(x) 3 9 16 22

Q: Q5.1 Let f(x) = x + 1, ax+b, 3x, x 4 is continuous everywhere. must use a valid mathematics…

A:

Q: f(x)=x+10x+25 x+5 3 O True is continuous at x = -5 O False

A:

Q: x² – 4, x > 2 Ax+ B,x <2 Determine the values of A and B for which the function f(x)=- will be a)…

A:

Q: Determine c and d so that f(x) is continuous if 1 x2 + c x + d x -2 C = II

A: Given query is to find the value of c and d.