e antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = -F(x). If / f(x) dr=K, 0

Q: Sh -4*| [x* - 2x] ,15x<2 ,0<x<1 Let f(x) = Then discuss the differentiability of f(x)in(0,2).Here []…

A: The given function is: f(x)=1-4x2   0≤x&lt;1x2-2x1≤x&lt;2

Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: Assume: (1) FIT calculated by percentage method and (2) Social Security 6.2% on $118,500; Medicare…

A: Based on the wage brackets provided, let's analyze how income tax withholding is calculated for a…

Q: b) Euler's theorem states that f(:) = "lax, X1 +°"/ax,X2 for functions that are homogenous of degree…

A: Homogeneous Function: A function f of two variables x and y is said to be homogeneous of degree n if…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: f(x) = 8+x 8 - x on [4, 6].

A:

Q: f(x)={0: x is less than or equal to -1, ax-b: -1 is less than x is less than 1, 3: x is greater than…

A: we have to find value of a and b so function to be continous

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: Show that f (−1) = f (1), but that there is no point in (−1, 1) where f (0) is zero. Why does this…

A: Given: fx=1-x2/3 So, f-1=1--12/3=1-1=0 Also, f1=1-12/3=0 Thus, f-1=f1

Q: IfY C X, show that inf (X) < inf (Y)

A:

Q: interval a sxsband a(n) function on a open interval a <x <b. Then there exists ace (a,b) such that…

A: It is problem of mean value theorem

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 3x + 1. 1 h(x) = V3x + 1 f(x) =D

A:

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,) (0,1) C (1,0) (2,4)

A:

Q: If f (x) = x² - x and g(x)=√x-2, what is (fog)(x) ? Simplify your answer. x²-x-2 /x² - 2 2-x-2 O…

A:

Q: Differentiate. y =x° In x- dy II

A:

Q: Q3) Test the continuity of the function f(x): -15x <0 0S X< 2 F(x) = 2х— 1 x+ 3 X = 2

A: