f(x) is a positive continuous function on R what does the function F(x)= | f(t) dt a represent (for x>a )?

Q: (b) Is the function f(x)=z+z+1| continuous at every z? Is it differentiable at every z? Sketch the…

A: Explanation of the answer is as follows

Q: DEFINITION 10.1.1 Let f be a function defined on an interval [0, o0). The Laplace transform of f is…

A: Lapalce transfermation.

Q: 7x²-21² x2 -. Define f(0, 0) in order to extend f(x, y) to a function which is continuous at the…

A:

Q: If h and f are functions and g defined by g(t) = f(t) · h(t), then what is g'(t)? f'(t)h'(t) +…

A: We have given that gt=ft·ht Differentiate the above function w.r.t 't' g't=ddtft·ht

Q: Is the function f(x, y) = ||x| - |y|| - |x| - |y| differentiable at (0,0)?

A:

Q: The function g(t) = \t| is differentiable at 0. True False

A: Given that g(t)=|t|We can write it as:g(t)=t   , t≥0-t , t<0

Q: The function f(x) is differentiable on (0, 1) and satisfies f(0) = f(1). However, its derivative is…

A: Consider the given function: Here the objective to check whether the given function contradicting…

Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

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Q: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

Q: 4x Let F be the function defined by F(x) 1 dt. Find an expression for (t² – 5)6 F'(x).

A:

Q: Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy if…

A: Here we have to determine whether the given function is continuous or not.

Q: Differentiate the function f(t) = t (11t+ 2). Answer f'(t) =

A:

Q: The function, r= 3t°, y =ť –t is concave upward on the interval (a) (-∞,0) (b) (0, 0) (c) (-0,0) (d)…

A: The general form of the parametric equation of the curve in two-dimensional space is given by…

Q: Let f(x) = V1+x. Estimate the change in f from x = 7 to x = 7.5 using linear approximation. %3D

A:

Q: The interval over which the function f(x) = becomes continuous is %3D x+8 (-3, 0) (-3, 3) (-00,…

A:

Q: Is |3x-1| a function?

A: A relation is said to be a function only when every point in the domain has a unique value in the…

Q: Let fbe adifferentiable function satisfying the condition. f(x) for all x, y (+0) ERand f(y)#0. f(y)…

A: Let f be differentiable function satisfying the condition Given f(xy)=f(x)f(y)put…

Q: ery differentiable function y = f(x) defined on an open interval (a, b) has an absolute max nimum.…

A: Given problem is :

Q: 9a) Find the local extrema of the function f(x) = e*(x² -3) using the Second Derivative Test.

A:

Q: f(x, y, z) = e−(x2+y2+z2) (a) Describe the domain of f. (b) Determine the range of f.

A: