Let f: C → R, with C = (-10, 10) c R be given as f(x) = |x| (absolute value of x). (a Sketch epi(f). (b Find two of the subgradients of ƒ at x = 0. (c Find the set of all subgradients of f at x = 1.

Q: В. B. Show that the function f (z) = -i z2 is analytic.

A: The solution is given as

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A: f:ℝ2→ℝ and g: ℝ2→ℝ f is C2 Hf4,5=2-1-13 g is defined by gx,y=fx-y,yx

Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: Evaluate (f x g)(2), given that f(z) - and g(z) -. 2. de".

A:

Q: Evaluate the following intergral: 35 ƒ³5 ƒ5 * ze-(y² + z²) dz dy dx 0 x/7 0

A:

Q: (3-x, xs1 Consider the function given by f (x) = Is the function continuous, %3D x -x+1, x>1…

A:

Q: 3)Verify Rolle's Theorem for the function f(x) = 5² + 3 defined over the interval [-4, 4]. Justify…

A:

Q: Is the function f (x) = x³ – 3 odd, even, or neither even nor odd? - Odd Even Neither even nor odd

A: A function f(x) is even if f(-x) = f(x) for all x ∈ R. A function f(x) is odd if f(-x) = -f(x) for…

Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: The domain of the function f(x)= cosh (x/ 18) is Select one: O [-18, 18 ] OR-{18} OR-{-18, 18 } O […

A: Given- fx=cosh-1x8 To Find- The domain of the function.

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f…

A: