Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (0, t).

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: Differentiate the following with respect to x: f(x) = x³In (x)

A:

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: 3. For which x value(s) is f(x) = sin 2x continuous? Explain why.

A:

Q: For what numbers 0 is f(0) = csc 0 not defined?

A: To find the numbers θ where fθ=cscθ is not defined. Solution: We know that, cscθ=1sinθ A rational…

Q: f (æ, t) = e-t function fea - fu = 0 provides equality. True False

A: Given the function fx, t=ex-t We need to check the validity of fxx-ftt=0 to get the correct option.

Q: Show that f(x) = 2a + 3b is continuous, where a and b are constants

A:

Q: The function f (x) = x sin is continuous on the interval (-1,1). O True O False

A:

Q: f(a) = ca + 4 if a E (-∞, 2] I ca -4 if a e (2, 00) if a E (2, ∞)

A:

Q: Find the weak derivative of f() = |x² – x + 1/5| on the 1) interval (0,1).

A:

Q: Determine if f(x) is differentiable at x = 0 if

A: We will find out the required solution.

Q: Consider the following functions: f(x)= x+1' and g(x) = Find the domain of (f og)(x). Enter your…

A:

Q: Determine if the function f(x)= e*¯ er uniform continuous on the interval I= [1,00 [

A:

Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O…

A: Given fx is continuous between a and b

Q: The derivative of f with respect to x of f(x) = In x° is

A: Since, you have posted multiple questions. As per guidelines I"ll solve only first question. If you…

Q: The second derivative of the function f is given by f" (x) = x² cos(V) – 2x cos(Va) + cos(Va). At…

A: