Prove: b is an odd function1. b(x)=-a(x) (Given)2. a is an odd function (Given)3. a(-x)=-a(x) (Def. odd function)4. b(x)=a(-x) (Trans. Prop. of Equality using 1 and 3)5. b(-x)=-a(-x) (Substitute -x for x in 1)6. -b(-x)=a(-x) (Div. Prop. o...
It is given that f(x) is a non-zero even function and g(x) is a non-zero odd function.Which expression is equal to∫_(-a)^af(x)+g(x)dx -a A. 2∫_0^af(x)dx B. 2∫_0^ag(x)dx c. ∫_(-a)^ag(x)dx D. 2∫_0^af(x)+g(x)dx 相关知识点: 试题来源: 解析 ...
If the remainder is not zero, the number is odd. Source Code # Python program to check if the input number is odd or even. # A number is even if division by 2 gives a remainder of 0. # If the remainder is 1, it is an odd number. num = int(input("Enter a number: ")) if...
Determine if the given function is even, odd, or neither. f(x) = \sec x\ tan x Determine algebraically whether the given function is even, odd, or neither. g(x) = -6x^2 + 7 Determine if the function is even, odd, or neither. g(x) = ...
In order to identify whether a function is even or odd, we replace the variablexby−x. The resulting function will determine if the function is even or odd. If the resulting function is the same with the original function, then it is even. Meanwhile, if the resulting function ...
相关知识点: 试题来源: 解析 evenWORK SHOWN: f(−x) = (sin(-x))/(-x) = (-sinx)/(-x) = (sinx)/x = f(x)evenWORK SHOWN: f(−x) = (sin(-x))/(-x) = (-sinx)/(-x) = (sinx)/x = f(x) 反馈 收藏
[ Justify your answer.] 相关知识点: 试题来源: 解析 OddWORK SHOWN: f(−x) = 2(−x)3 − 3(−x) = − 2x3 + 3x = −f(x)OddWORK SHOWN: f(−x) = 2(−x)3 − 3(−x) = − 2x3 + 3x = −f(x) 反馈 收藏 ...
To prove that the derivative of an even function is always an odd function, we will follow a step-by-step approach.Step 1: Definition of Even Function An even function \( f(x) \) satisfies the property: \( f(-x) = f(x) \quad \t
There are odd, even, or none of the above. An odd function is symmetrical with respect to the origin and fulfills the condition f(−x)=−f(x); whereas even are those that when x is replaced by −x remain the same in their structure...
Even and Odd Functions:Functions can also be identified as even, odd, or neither. This can be determined by analytically analyzing the function. With this we need to solve their counterparts h(−x) and −h(x). The two functions will be the basis if the given function is ...