6. Let f: Q R be defined by f(x) Show that f is continuous. 0, :{ 1, = if x € (-∞, √2) nQ if x € (√2, ∞) nQ

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: Let f (x) = x¹ - x³ -1/ The domain of f is restricted to -2 ≤ x ≤ 4 Select the interval(s) where f…

A: Concept:  A function f(x) is said to be concave upward on an interval if f″(x) > 0 at each point…

Q: For the function Sx² - x x² – if x 1 ’ evaluate the left and right limits as x → 1.

A: We can make it easier for you.

Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: True f must be continuous in its domain? or false: If f(x) is differentiable in its domain then

A:

Q: Consider the function F: R² – R defined by: F(x, y) = xy – 3y, for all (x, y) E R². (a) Find the…

A: Definition of Range:      The range of a function is nothing but the relationship between the…

Q: Which of the following choices correctly discusses the continuity of the following function? F(x)=…

A: Given :  F(x) = x+3x2-9   To determine : The continuity of  a function.

Q: Let f. ROR be a Continuous function with f(x) ≤ 10 for = all XER. Explain why f is not homeomorphism

A: A homeomorphism is a continuous bijection with continuous inverse.

Q: Give an example of a function that is continuous on (-∞,0) U (0,1] U [1,0). se limits and theory…

A: